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Paper Citation Record · LEDGER

Theory of the phase transition in random unitary circuits with measurements

As of 23 August 2026, this Paper Citation Record lists 84 of 84 outbound references and 4 inbound Pith citation observations for arXiv:1908.04305.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.04305 v3

Coverage vector

measured 84 of 84 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:54:28.778386Z

measured 88 of 88 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:59:47.627481Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T18:24:57.356031Z

Reference resolution

84 of 84 outbound references displayed

  • verified exact1
  • verified fuzzy39
  • unresolved43
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0dce6877-3914-4fbc-b2f7-2887a31a1a5f · outbound

This paper cites Quantum computation and quantum information,.

Theory of the phase transition in random unitary circuits with measurements Quantum computation and quantum information,

Reference 1

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source=pdf_text observed=2026-08-14T13:54:28.425084Z digest=sha256:4667c278838f089900e569ba8cf480e8150b9321a59687aa43f562aee6f63637

Observation 0289d955-8b72-4229-a3c5-f90f6d21e81e · outbound

This paper cites Nahum, J.

Theory of the phase transition in random unitary circuits with measurements Nahum, J

Reference 2

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source=pdf_text observed=2026-08-14T13:54:28.429964Z digest=sha256:fd3ec964ec28d456f995405ef2f6e077c2eb7703133ddc6d781bed7ef8857e84

Observation 8429fa8e-8eb0-4128-8891-3fa91dbe0466 · outbound

This paper cites von Keyserlingk, T.

Theory of the phase transition in random unitary circuits with measurements von Keyserlingk, T

Reference 3

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source=pdf_text observed=2026-08-14T13:54:28.434365Z digest=sha256:5df65bc9247fe7bb76ac19a762f14f75f260c4b1eae7a3295ac62ff306b689ea

Observation c82c2cd1-cd29-4a99-9055-82897e1f3bf8 · outbound

This paper cites Nahum, S.

Theory of the phase transition in random unitary circuits with measurements Nahum, S

Reference 4

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source=pdf_text observed=2026-08-14T13:54:28.438831Z digest=sha256:b212bdb03478c5c965d15992b4c39c149aea907e1eede351975657a6ddbdb6f3

Observation dc332832-647d-4ab8-b748-f69ceac84672 · outbound

This paper cites Khemani, A.

Theory of the phase transition in random unitary circuits with measurements Khemani, A

Reference 5

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source=pdf_text observed=2026-08-14T13:54:28.443258Z digest=sha256:75dd2c67ff11e3d3d678a46eacd9f3206aea60281c5b584031650494cfc6a1ca

Observation 55a2fb1c-1726-4d68-954c-7d4f181f99ea · outbound

This paper cites Rakovszky, F.

Theory of the phase transition in random unitary circuits with measurements Rakovszky, F

Reference 6

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source=pdf_text observed=2026-08-14T13:54:28.447368Z digest=sha256:0931418470a701301238fff1bc181f99cc8016d294067bb3814794e7593143e8

Observation cd3e9038-c780-4ff3-b829-ebbd112196e2 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-14T13:54:28.451912Z digest=sha256:376c8e41956558c76f9a8fff93f67145b4b0d837a2b0ee19b15690e3d87e3328

Observation 7f14cb7d-c716-4136-afaa-7c2f95836625 · outbound

This paper cites Measurement-Induced Phase Transitions in the Dynamics of Entanglement.

Theory of the phase transition in random unitary circuits with measurements Measurement-Induced Phase Transitions in the Dynamics of Entanglement

Reference 8

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source=pdf_text observed=2026-08-14T13:54:28.455950Z digest=sha256:9d165c3b17204cee141781f53dd0a7fbbf52efa4e1481079d16f9e6a71a35fbe

Observation 2293db41-71c0-462f-ab5c-71b99eaf6ab9 · outbound

This paper cites Measurement-driven entanglement transition in hybrid quantum circuits.

Theory of the phase transition in random unitary circuits with measurements Measurement-driven entanglement transition in hybrid quantum circuits

Reference 9

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source=pdf_text observed=2026-08-14T13:54:28.460578Z digest=sha256:296bb6d05bc1a6f195ce6e93c3c91df937d458a16bb558a17df7860a28afcac2

Observation 970e8230-66dd-4707-a30e-1587f5234f9a · outbound

This paper cites Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition.

Theory of the phase transition in random unitary circuits with measurements Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition

Reference 10

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source=pdf_text observed=2026-08-14T13:54:28.465294Z digest=sha256:8a4fbaf8fc3dc87fcdd30411576990f546741faac0baced903f087fecd10bce3

Observation bfed0f09-94cc-4b77-80b3-ccafc7b7ca84 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-14T13:54:28.469718Z digest=sha256:2e30341b9756757964fb26183e50046aafd4a458fbaf83cc379bbe3449361128

Observation a0417dbb-99f3-4f47-9bac-9455cf3c0e40 · outbound

This paper cites Entanglement transition from variable-strength weak measurements.

Theory of the phase transition in random unitary circuits with measurements Entanglement transition from variable-strength weak measurements

Reference 12

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source=pdf_text observed=2026-08-14T13:54:28.473665Z digest=sha256:ddf18862dada545bcc5aa739d23cb050de3789f8448f896619e697ee23fd04ce

Observation 7799fcbb-5683-40c7-af80-dfef07c74450 · outbound

This paper cites Dynamical purification phase transitions induced by quantum measurements.

Theory of the phase transition in random unitary circuits with measurements Dynamical purification phase transitions induced by quantum measurements

Reference 13

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source=pdf_text observed=2026-08-14T13:54:28.477971Z digest=sha256:a227e7068e70e8491bb10de17dc30a7a84165621ca53e64cecfb57a1aa94b556

Observation 300c128c-1e28-4bbc-95a0-f62a9859fccf · outbound

This paper cites Hayden, S.

Theory of the phase transition in random unitary circuits with measurements Hayden, S

Reference 14

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source=pdf_text observed=2026-08-14T13:54:28.482271Z digest=sha256:b20ad30b3d6931191bd041e29f81ba428627be8b7c2f34174bdb6e51e6854581

Observation 801187ca-c032-43d4-bb68-2da3ccd27383 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-14T13:54:28.486286Z digest=sha256:48655dee0b0edf46ea5fa0689690ebb51f183c4b4db6c2cf2127df6407d3f686

Observation 80a22393-c422-4cb5-8e46-fd5fabbde154 · outbound

This paper cites Entanglement Transitions from Holographic Random Tensor Networks.

Theory of the phase transition in random unitary circuits with measurements Entanglement Transitions from Holographic Random Tensor Networks

Reference 16

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source=pdf_text observed=2026-08-14T13:54:28.490417Z digest=sha256:5fa1910d1132c6c8bf9fb3b6f06e11e6e650f1ed4a93596988f63f6d1141dcc4

Observation a2d8f4df-129a-41c1-b735-2cc295d287d4 · outbound

This paper cites Zhou and A.

Theory of the phase transition in random unitary circuits with measurements Zhou and A

Reference 17

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source=pdf_text observed=2026-08-14T13:54:28.494887Z digest=sha256:e539692145757f51c5c4e07e7f176475c300170718d7b9ae6db92aabfcdc0b3f

Observation 1e60f724-ae56-439f-a28a-6d829ec3b9e9 · outbound

This paper cites Unitary designs from statistical mechanics in random quantum circuits.

Theory of the phase transition in random unitary circuits with measurements Unitary designs from statistical mechanics in random quantum circuits

Reference 18

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source=pdf_text observed=2026-08-14T13:54:28.499602Z digest=sha256:50ba6391f64459a96210ae3d7caac23349230f9db05a362e83f40dd8e7149d77

Observation be6a55ef-8bd4-446b-990f-8b1eb0f2c830 · outbound

This paper cites O’Donnell and J.

Theory of the phase transition in random unitary circuits with measurements O’Donnell and J

Reference 19

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source=pdf_text observed=2026-08-14T13:54:28.504046Z digest=sha256:1d9c679174566dc09c3283b50dc2ef7dc7b27b1a10c351d11a4e1c9c604b91a6

Observation 95161a37-11bd-43ef-8c7f-1abea39fa2ac · outbound

This paper cites Li and X.

Theory of the phase transition in random unitary circuits with measurements Li and X

Reference 20

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source=pdf_text observed=2026-08-14T13:54:28.508162Z digest=sha256:af8223de937c660ba579b7ca3bae464dc95f9bdc7d86d9ea804812f2123051ff

Observation 4623dd62-6b99-40d9-9f1a-cbf38eb5bdf9 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-14T13:54:28.512180Z digest=sha256:d145527712a6031036e4b2cbc7bb6f5ef9b122f7820bf403cd58a34644036eb4

Observation 4178048b-28c6-455f-9c92-74aa974799a6 · outbound

This paper cites Araki, Publications of the Research Institute for Mathematical Sciences 11, 809 (1976).

Theory of the phase transition in random unitary circuits with measurements Araki, Publications of the Research Institute for Mathematical Sciences 11, 809 (1976)

Reference 22

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source=pdf_text observed=2026-08-14T13:54:28.516275Z digest=sha256:5e32fc357f065608656af290079b8516b94ac5ba313d2c424bd7acd134ac1672

Observation c823b102-3512-4bf0-9673-e9d4b740d4c5 · outbound

This paper cites Lindblad, Communications in Mathematical Physics 40, 147 (1975).

Theory of the phase transition in random unitary circuits with measurements Lindblad, Communications in Mathematical Physics 40, 147 (1975)

Reference 23

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source=pdf_text observed=2026-08-14T13:54:28.520429Z digest=sha256:27552e8ff5b162f01c1d1bcdc5d34fb37a0a846aea07203455335552bf8faa2e

Observation 61a71de2-3ddd-4a85-99fd-be7e503c8f7f · outbound

This paper cites Uhlmann, Communications in Mathematical Physics 54, 21 (1977).

Theory of the phase transition in random unitary circuits with measurements Uhlmann, Communications in Mathematical Physics 54, 21 (1977)

Reference 24

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source=pdf_text observed=2026-08-14T13:54:28.524622Z digest=sha256:7bde6fef286c3816161422096fa219838224bd880bdcd4a9fb76e68e54167a01

Observation 842691ce-03d8-4a43-95b4-ca09ff31ee0c · outbound

This paper cites Collins, International Mathematics Research Notices 2003, 953 (2003).

Theory of the phase transition in random unitary circuits with measurements Collins, International Mathematics Research Notices 2003, 953 (2003)

Reference 25

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source=pdf_text observed=2026-08-14T13:54:28.528588Z digest=sha256:af0ba58b97e5647c2122a022af54ad70c4b3ad8d63ff2c14c4faa1a625515111

Observation 7b2676dc-f066-495d-b97e-16f4a1fb9734 · outbound

This paper cites Eggarter, Physical Review B 12, 1933 (1975).

Theory of the phase transition in random unitary circuits with measurements Eggarter, Physical Review B 12, 1933 (1975)

Reference 26

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source=pdf_text observed=2026-08-14T13:54:28.532816Z digest=sha256:3733c766f932e0532ba1cace74f8ab2722b816143b01edcac30296d4c8ec973c

Observation 29b59dba-7078-4bb7-87c7-0fdaba3eff0b · outbound

This paper cites Tanaka and N.

Theory of the phase transition in random unitary circuits with measurements Tanaka and N

Reference 27

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source=pdf_text observed=2026-08-14T13:54:28.536874Z digest=sha256:1099b335c886092a46c35c246d18fb8407900845a9796bb9831c1f3730d8a015

Observation 1e475ccc-24e2-4fb5-a741-5d44ec41892c · outbound

This paper cites Collins and P.

Theory of the phase transition in random unitary circuits with measurements Collins and P

Reference 28

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source=pdf_text observed=2026-08-14T13:54:28.540927Z digest=sha256:98b58f94a9ae32656be6d6cf9276627f3fecba2fb44ac54c133f4489d9222206

Observation 78d8efc8-ee6d-49d5-9a2f-b8a944b01930 · outbound

This paper cites Zinn-Justin, Letters in Mathematical Physics 91, 119 (2010).

Theory of the phase transition in random unitary circuits with measurements Zinn-Justin, Letters in Mathematical Physics 91, 119 (2010)

Reference 29

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source=pdf_text observed=2026-08-14T13:54:28.545036Z digest=sha256:e9e406e3f3cc19f9518558acfe5a49c44ce18a7283d268e0bffd4a732b36c084

Observation 021a908c-8114-4e4d-8721-e81e584662ed · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-14T13:54:28.549909Z digest=sha256:b9c2f234ea428de9029f8b32e71af42757110d49fc71eed5f4ac8884a44e65bb

Observation 965e1946-8528-4bad-9616-a748c972323c · outbound

This paper cites Weingarten calculus for matrix ensembles associated with compact symmetric spaces.

Theory of the phase transition in random unitary circuits with measurements Weingarten calculus for matrix ensembles associated with compact symmetric spaces

Reference 31

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source=pdf_text observed=2026-08-14T13:54:28.554357Z digest=sha256:e1b6e423a25774dfa012c70a3c25a070107ba5366be81bc2bc332057f25dd716

Observation 09b6e9a9-86c7-41cd-a0a8-f8fd4b156608 · outbound

This paper cites Elementary derivation of Weingarten functions of classical Lie groups.

Theory of the phase transition in random unitary circuits with measurements Elementary derivation of Weingarten functions of classical Lie groups

Reference 32

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source=pdf_text observed=2026-08-14T13:54:28.558939Z digest=sha256:55692f874f4a375288862fb16511a427d07380b6d4e0e0587889a2a7e378b30c

Observation d408947d-45de-4ddc-b591-512971d759c8 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-14T13:54:28.563126Z digest=sha256:6f0784e20be31c2dcaeaba2eb3e30b500487afdc3a1404d72ed8f8383a9bbd4d

Observation bd086482-a875-4fb1-ad3c-cfbef20ce669 · outbound

This paper cites Kihara, Y.

Theory of the phase transition in random unitary circuits with measurements Kihara, Y

Reference 34

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source=pdf_text observed=2026-08-14T13:54:28.567591Z digest=sha256:8fdc8b5a6c6a4916fd2dc2069284bc98363ef0d5fdbc4b38434372595c0755df

Observation 66670de7-3e43-499f-97df-48f6e5998359 · outbound

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Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 35

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Observation 58fd5ab1-9f50-451e-a130-551dc11c810c · outbound

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Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 36

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source=pdf_text observed=2026-08-14T13:54:28.575984Z digest=sha256:e51d810e537a187dd8cfa059c4e574b3ec136e5538c700323dcd0453d3a13d15

Observation 9341e112-430f-4823-adfe-99521cf6bc37 · outbound

This paper cites Kasteleyn and C.

Theory of the phase transition in random unitary circuits with measurements Kasteleyn and C

Reference 37

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source=pdf_text observed=2026-08-14T13:54:28.580302Z digest=sha256:de54310d163d664b4688f12a36efede91d0bcd8afb60fdaf34cffb9a23dffda9

Observation eec6eb97-d6eb-42db-beb0-2dfc20b5b7f7 · outbound

This paper cites Wu, Journal of Statistical Physics 18, 115 (1978).

Theory of the phase transition in random unitary circuits with measurements Wu, Journal of Statistical Physics 18, 115 (1978)

Reference 38

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.584502Z digest=sha256:41106a7c36f0c1cbb4c360e3d7e75aa06d20cfe069c757d51f5e6e5d21339a42

Observation 60ffaf6f-d145-4484-b717-5eef9ada5318 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 39

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.588542Z digest=sha256:7b3e5c535c3f09d935c9142db6f9cb913b2ff1364684319b5d7c067326a7a81b

Observation 585b697a-19ce-4b69-a857-824a2f203c2a · outbound

This paper cites Kesten, Percolation theory for mathematicians, Vol.

Theory of the phase transition in random unitary circuits with measurements Kesten, Percolation theory for mathematicians, Vol

Reference 40

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raw_fallback, observed 2026-08-14T13:54:29.489947Z

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source=pdf_text observed=2026-08-14T13:54:28.592654Z digest=sha256:bea3dad57232e74c9da6cfa1925efc05f5fa8bd9a6c0d84d58d6849bf47acf86

Observation 44c2acb8-877b-4e99-9a9a-6982ef2184d1 · outbound

This paper cites Kesten, Communications in Mathematical Physics 109, 109 (1987).

Theory of the phase transition in random unitary circuits with measurements Kesten, Communications in Mathematical Physics 109, 109 (1987)

Reference 41

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raw_fallback, observed 2026-08-14T13:54:29.475488Z

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source=pdf_text observed=2026-08-14T13:54:28.596766Z digest=sha256:01b3ac4edd7f650aea708f0a6103eb3c2a7fccb8c2e1daf12733e264611ae85f

Observation 6cb8c09f-cdad-4173-9665-e3671ff41af7 · outbound

This paper cites Grimmett, in Percolation (Springer, 1999) pp.

Theory of the phase transition in random unitary circuits with measurements Grimmett, in Percolation (Springer, 1999) pp

Reference 42

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raw_fallback, observed 2026-08-14T13:54:29.461488Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T13:54:28.600940Z digest=sha256:70486f7691e70cf41948a2a97c0a4f31b0a7c0e7e21016cf2def939442dbd145

Observation 618fef99-d4ee-43ff-957f-6d4bea58889e · outbound

This paper cites The Clifford group forms a unitary 3-design.

Theory of the phase transition in random unitary circuits with measurements The Clifford group forms a unitary 3-design

Reference 43

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.605277Z digest=sha256:0bb85ce1d40ff777e1adcf675e60d0eba5f983f7fa5641f4eafa7699d53e1906

Observation 596dad80-bf8c-48e9-af9c-e95e377e5030 · outbound

This paper cites Verstraete and J.

Theory of the phase transition in random unitary circuits with measurements Verstraete and J

Reference 44

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no resolver link, observed 2026-08-14T13:54:28.609528Z

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source=pdf_text observed=2026-08-14T13:54:28.609528Z digest=sha256:8cd6b6c506dff5be6430ee32077ab497f1d9c08ef0aa28d627814b1fa11392a3

Observation cd68e772-af41-43ce-afb6-720fc9be60f6 · outbound

This paper cites Schuch, M.

Theory of the phase transition in random unitary circuits with measurements Schuch, M

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.437533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.613645Z digest=sha256:e5679c3a453a7f3b18102c809a78a74702dc00426cbf2bc87fa9397c4bf5122e

Observation 87aa0576-bd0e-43c3-b079-c7ec33df7b1d · outbound

This paper cites Schumacher and M.

Theory of the phase transition in random unitary circuits with measurements Schumacher and M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.424091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.617676Z digest=sha256:ce4bb6a5b333ff733bbe2a06d34fbbcef61f39b4dae535dce8a720c9a99b053f

Observation 59929d3d-46db-451c-ab3a-e76bc327d93a · outbound

This paper cites Hiai and D.

Theory of the phase transition in random unitary circuits with measurements Hiai and D

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.408994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.621579Z digest=sha256:4fd89303217ea2adad53a9ec853818266237fa09058d380b64eab88ff22b8802

Observation 99913dd4-59ed-4d5a-a189-f14d78a17c64 · outbound

This paper cites Ogawa and H.

Theory of the phase transition in random unitary circuits with measurements Ogawa and H

Reference 48

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verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.394983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.625550Z digest=sha256:0530b6b8b4bfce8ce0593382313ab7bd6494fbd65f7adb8f6d14ac433c370e9f

Observation 655d64b0-f77c-4f50-9958-459a0c84068f · outbound

This paper cites Hayashi, Journal of Physics A: Mathematical and General 34, 3413 (2001).

Theory of the phase transition in random unitary circuits with measurements Hayashi, Journal of Physics A: Mathematical and General 34, 3413 (2001)

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.381285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.630462Z digest=sha256:6ee4c2da7036737f78060a899949f2bb9739bcad763f1791509a69df777535f1

Observation b5d6968a-01aa-4d2e-b36a-98fbc4e5a2d1 · outbound

This paper cites Nagaoka, in Asymptotic Theory Of Quantum Statisti- cal Inference: Selected Papers (2005) pp.

Theory of the phase transition in random unitary circuits with measurements Nagaoka, in Asymptotic Theory Of Quantum Statisti- cal Inference: Selected Papers (2005) pp

Reference 50

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raw_fallback, observed 2026-08-14T13:54:29.366817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.634582Z digest=sha256:e3498780f5b3facf6f4cc48c14edcfbd2c72e2d4c40f485e6e16c1f9212040a2

Observation bc71cd0f-d39c-4e35-935f-46f0c033cff4 · outbound

This paper cites Hayden and J.

Theory of the phase transition in random unitary circuits with measurements Hayden and J

Reference 51

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verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.350548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.638780Z digest=sha256:795c15b14f920f8b7f3f32aa48bd97db6c0d33214a4cf0ad4bf3ff3b76def0e4

Observation 9be12439-3a69-42a9-9aac-02d9225129f7 · outbound

This paper cites Bernien, S.

Theory of the phase transition in random unitary circuits with measurements Bernien, S

Reference 52

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no resolver link, observed 2026-08-14T13:54:28.642802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.642802Z digest=sha256:faaa51ca72406fd97c4a96a5afb5e5ee7747bddad891f9dc0658881c3c2488b8

Observation 00382d1b-db0c-4813-9277-7bd4aab053b0 · outbound

This paper cites Zhang, G.

Theory of the phase transition in random unitary circuits with measurements Zhang, G

Reference 53

Resolution
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no resolver link, observed 2026-08-14T13:54:28.646694Z

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source=pdf_text observed=2026-08-14T13:54:28.646694Z digest=sha256:a16994b563d5c44309eec62128086119f4d5927a30dd28832ad3d118ca83428d

Observation 98865f50-4268-4151-a22f-fcf7451ad976 · outbound

This paper cites Neill, P.

Theory of the phase transition in random unitary circuits with measurements Neill, P

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.317497Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.650721Z digest=sha256:e59076e33346f1dcbdc1022d051575573f160665dde5ad6ee42e886ecd0eab97

Observation d8c5f609-f7a1-42e0-972e-9efcc117fc7f · outbound

This paper cites Harris, Y.

Theory of the phase transition in random unitary circuits with measurements Harris, Y

Reference 55

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verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.303172Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.654746Z digest=sha256:499e687092740e3835386b83da2596ab76096d42a2a07428ef360a126081f8d1

Observation be2d1a8a-3df7-476e-a383-64abf550ebab · outbound

This paper cites Brydges, A.

Theory of the phase transition in random unitary circuits with measurements Brydges, A

Reference 56

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no resolver link, observed 2026-08-14T13:54:28.658923Z

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source=pdf_text observed=2026-08-14T13:54:28.658923Z digest=sha256:036652293819d86442bbdcb612f021acd9e409e527941184c34f3ad07a3d7037

Observation 3d179a2a-54de-4315-b21c-6842c5efeebc · outbound

This paper cites Lukin, M.

Theory of the phase transition in random unitary circuits with measurements Lukin, M

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.280858Z

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source=pdf_text observed=2026-08-14T13:54:28.663030Z digest=sha256:3fb69729e046e2d8c03eea4350224f5fb83c57653546cfff402dea53effeb005

Observation 1b7713bc-bcad-41d2-a990-ba0e41747c34 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 58

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raw_fallback, observed 2026-08-14T13:54:29.266370Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.667211Z digest=sha256:61b24341700dd23210d86d5763558c4036f177c9e2f7e3e1c76c447684f1d6a7

Observation d5fb4b12-a78c-4767-8729-7430837c2481 · outbound

This paper cites Boixo, S.

Theory of the phase transition in random unitary circuits with measurements Boixo, S

Reference 59

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no resolver link, observed 2026-08-14T13:54:28.671462Z

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source=pdf_text observed=2026-08-14T13:54:28.671462Z digest=sha256:0ae1a2c960bba9a87d098aeeb16e3a532913ba2c4116a7a669122df3ed9ac62f

Observation 988211d3-1386-4fd2-b527-38984e71cb4f · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 60

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no resolver link, observed 2026-08-14T13:54:28.675559Z

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source=pdf_text observed=2026-08-14T13:54:28.675559Z digest=sha256:e96d0f15a9e7ac82ad4af346f6886f809b059ee80b925c889c5c4af2d7b463a7

Observation bc4cfa31-93ce-49e3-9be1-78aa1e795f50 · outbound

This paper cites Srednicki, Phys.

Theory of the phase transition in random unitary circuits with measurements Srednicki, Phys

Reference 61

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no resolver link, observed 2026-08-14T13:54:28.679429Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.679429Z digest=sha256:b40bfb7315e694fbb1a425d468e39ad6ebb394d6687050fcbfabd13772356a08

Observation 8e462727-39e4-470c-968c-d82e05e56c0d · outbound

This paper cites Rigol, V.

Theory of the phase transition in random unitary circuits with measurements Rigol, V

Reference 62

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no resolver link, observed 2026-08-14T13:54:28.683669Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T13:54:28.683669Z digest=sha256:a286c574340d73d05c6eeab5d6196b48d3ce1a40f1ae7efcb05e5cc78cc8019a

Observation 62f475e3-c898-4678-873b-3893db73999d · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 63

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source=pdf_text observed=2026-08-14T13:54:28.687617Z digest=sha256:d86283310828c44a99f55c5947bb0dfb859a07fa428fd690d275ae73e6f5e17e

Observation e8cc8475-26ad-47e3-b99f-9b9bf95ccb12 · outbound

This paper cites Nandkishore and D.

Theory of the phase transition in random unitary circuits with measurements Nandkishore and D

Reference 64

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source=pdf_text observed=2026-08-14T13:54:28.691727Z digest=sha256:24e73880c9c137bfd984f516f934dffdfcb30abe02a7f89de3638b159b2064c6

Observation 9f4efe8f-a93a-4958-ba83-38dd282f7252 · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 65

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no resolver link, observed 2026-08-14T13:54:28.695700Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.695700Z digest=sha256:08c32d8c6e29ce4fff7ec3042e6b08464208e85d72a5bb6aa07d37cab3299341

Observation 3380ea28-4d8c-4843-bafc-9bbe58c3197f · outbound

This paper cites Entanglement in a fermion chain under continuous monitoring.

Theory of the phase transition in random unitary circuits with measurements Entanglement in a fermion chain under continuous monitoring

Reference 66

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:54:28.821904Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T13:54:28.700016Z digest=sha256:d183af86d6a41b2535fa643c22b2bb3c2b6450bf12b7459440d78406907a108f

Observation 2b911695-cfb4-480b-96c0-fdb9e1a19a6d · outbound

This paper cites Sutherland, Beautiful models: 70 years of exactly solved quantum many-body problems (World Scientific Publishing Company, 2004).

Theory of the phase transition in random unitary circuits with measurements Sutherland, Beautiful models: 70 years of exactly solved quantum many-body problems (World Scientific Publishing Company, 2004)

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.186857Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.704369Z digest=sha256:e149f27b6e5394c798d3e92ac6ad51192f7aa313e7afb330e3246d29a554852c

Observation 05ee5ee2-7b65-44b4-8430-98c14380af7c · outbound

This paper cites Alicki and M.

Theory of the phase transition in random unitary circuits with measurements Alicki and M

Reference 68

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unresolved
no resolver link, observed 2026-08-14T13:54:28.708456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.708456Z digest=sha256:e91046921de90d7fddf2e9abf3560408ea929f81daf41aee43a8d08e75b66567

Observation a2980e04-5dc7-4614-9939-46de0418d023 · outbound

This paper cites Cotler, C.-M.

Theory of the phase transition in random unitary circuits with measurements Cotler, C.-M

Reference 69

Resolution
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raw_fallback, observed 2026-08-14T13:54:29.163638Z

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source=pdf_text observed=2026-08-14T13:54:28.712369Z digest=sha256:663495ab002f3b29cf42193442ba3ff3d22c8073b96b6fe09cc10c8e96a0e241

Observation bb9aa84c-a3e2-4403-bc91-fe214a50d1a9 · outbound

This paper cites Bouland, B.

Theory of the phase transition in random unitary circuits with measurements Bouland, B

Reference 70

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unresolved
no resolver link, observed 2026-08-14T13:54:28.716910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.716910Z digest=sha256:1a5c86c4e0ee46381fe897c2c118bdb2ac65a9e2632d48dd2ab0eb14f0db50bf

Observation be880edb-0ea9-4850-92dc-d9f81bc4ecbc · outbound

This paper cites The Geometry and Flow of Quantum Information: From Quantum Gravity to Quantum Technology.

Theory of the phase transition in random unitary circuits with measurements The Geometry and Flow of Quantum Information: From Quantum Gravity to Quantum Technology

Reference 71

Resolution
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no resolver link, observed 2026-08-14T13:54:28.419816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.419816Z digest=sha256:5ad899885df07581c0ad8bc325ac253ec85610adf4a9402e76cd041b627a5ef4

Observation 754e48e9-a60e-4e49-877d-50a09bb2860c · outbound

This paper cites Jian, Y.-Z.

Theory of the phase transition in random unitary circuits with measurements Jian, Y.-Z

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.139561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.721023Z digest=sha256:4954dfb3fbac07c18b0b1ba47bedfc3f9cd0b0b0beb9b22f03afa9f621498635

Observation e1e587de-5d3a-49e7-95b1-e2c7f8abcb0c · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-14T13:54:28.725097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.725097Z digest=sha256:2c45b299d80a4415fdb66ddf5739676658ef8724c8e9bb9b0118e75ec00ba944

Observation 52eb9521-8123-485a-ae31-0ef0e24992c6 · outbound

This paper cites Kawashima and N.

Theory of the phase transition in random unitary circuits with measurements Kawashima and N

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-14T13:54:28.729849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:54:28.729849Z digest=sha256:f5574c2e1b62465b6352b380d8fbaf9b08d5cfc9efdfb44ed9d390b5f601a374

Observation 2925e188-553f-45f5-b509-0113347f99fb · outbound

This paper cites Houdayer and A.

Theory of the phase transition in random unitary circuits with measurements Houdayer and A

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.106802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.734378Z digest=sha256:7ea11f9d3cc80e46e3c545afe719c469b7c19bc791acab59e5a720c715309021

Observation 9a1a99a6-ebc3-4a2e-9993-743b7079cf5d · outbound

This paper cites Strutz, Data fitting and uncertainty: A practical in- troduction to weighted least squares and beyond (Vieweg and Teubner, 2010).

Theory of the phase transition in random unitary circuits with measurements Strutz, Data fitting and uncertainty: A practical in- troduction to weighted least squares and beyond (Vieweg and Teubner, 2010)

Reference 76

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verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.093694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.738586Z digest=sha256:a3c252d1fc64b6a5f7c988feff1e96c91e83ef82790c970012cb9540f9c61200

Observation c5a5c124-1002-489e-874a-6a748e01b691 · outbound

This paper cites cjvzREaZAYNtEFM64RRfk23bZf8=.

Theory of the phase transition in random unitary circuits with measurements cjvzREaZAYNtEFM64RRfk23bZf8=

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.080582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.743116Z digest=sha256:1a4e097b38c433d12272eb6f19e4d6c17e31982c722c8af8d40d7ceae33bc12d

Observation 415c26e4-21fc-4b21-91d8-26e8312210bd · outbound

This paper cites Here, we derive and explicitly present the three-body weight ¯w(2)(σ1,σ 2,σ 3) in Eq.

Theory of the phase transition in random unitary circuits with measurements Here, we derive and explicitly present the three-body weight ¯w(2)(σ1,σ 2,σ 3) in Eq

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.066985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.748916Z digest=sha256:83153cc53c1bc6b5c3237dfaeae21b3a0ad629b732cb64299bda0467b0579591

Observation 873fb2e2-7507-4b6b-b45e-b37fd4fed02e · outbound

This paper cites Here, we de- rive the two-body Ising coupling Jh and Jd in Eq.

Theory of the phase transition in random unitary circuits with measurements Here, we de- rive the two-body Ising coupling Jh and Jd in Eq

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.052615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.753570Z digest=sha256:1dfd7771ce55a37fd412ff7781844df7599de26708853321294ff6607665dd3f

Observation e728ea7f-3904-4538-8326-5e50760c67d9 · outbound

This paper cites Here, we derive a sufficient condition [Eq.

Theory of the phase transition in random unitary circuits with measurements Here, we derive a sufficient condition [Eq

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.037756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.758020Z digest=sha256:660dc7b46df627871fab0b0ae2ce19e45e70285a3bb6308ef4001edd8c9fa584

Observation b3f0f321-887f-4128-b6f4-756f7d487c00 · outbound

This paper cites Com- pared to the derivation ofw(n) d in Appendix A 1, the only modification is the absence of the dephasing channel Nφ applying to ancilla qudits.

Theory of the phase transition in random unitary circuits with measurements Com- pared to the derivation ofw(n) d in Appendix A 1, the only modification is the absence of the dephasing channel Nφ applying to ancilla qudits

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.023573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.763127Z digest=sha256:df823837cd7f5b4c54e805dc15fc2bdd8d344c3d64336a8871d386b0032bb80f

Observation 05ea68a6-db78-4672-893f-8e81ded9039f · outbound

This paper cites Hence, we obtain a Ising spin model on a triangular lattice with three-body interaction.

Theory of the phase transition in random unitary circuits with measurements Hence, we obtain a Ising spin model on a triangular lattice with three-body interaction

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:54:29.009355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.768051Z digest=sha256:5a21b399c2a2cc556c51fd49b5702414bbdc9419893961223a1f188c6cc127c3

Observation a278cba2-e1ff-4799-aec0-6717dff5202f · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:54:28.995078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.773903Z digest=sha256:1f78a99036c89d9d762c5ea952740f1a64a8ec2cce79a7f8265f27c349bc6c5e

Observation c5f05913-5ba5-4f51-8e2c-267287367b0b · outbound

This paper cites an unresolved cited work.

Theory of the phase transition in random unitary circuits with measurements Unresolved cited work

Reference 84

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:54:28.981537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T13:54:28.778386Z digest=sha256:40530b618ccc828e2ed73dcd1189ac7b96c8b83f44dcaf53aea72946a3d6b8c5

Pith citing papers

Observation e5cd31bb-412d-48a4-b215-7625be23939c · inbound

Measurement-induced criticality in random quantum circuits cites this paper.

Measurement-induced criticality in random quantum circuits Theory of the phase transition in random unitary circuits with measurements

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-14T11:59:47.627481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:59:47.627481Z digest=sha256:68d7f50915d0acb401eff2af98191b68d58b8e16272a642d231699e1215fc497

Observation 25385fdd-974e-4d8e-bfce-7270c9d04f11 · inbound

Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations cites this paper.

Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations Theory of the phase transition in random unitary circuits with measurements

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-14T10:24:54.309346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:24:54.309346Z digest=sha256:b9c5caaf08b5fe3615ba52af3e4e6c87d87c8029fb2fa318a3046fb036be49bf

Observation a680e461-0ef6-4509-a35e-5897c79862f9 · inbound

Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions cites this paper.

Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions Theory of the phase transition in random unitary circuits with measurements

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T07:54:47.974979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:54:47.974979Z digest=sha256:250af1e7d697fbd38aab88b94bc54d22675e118d9bccd39625eb849ae2dce5c8

Observation 90e07e97-606c-40e3-a5d6-0a88c01a8cd5 · inbound

Measurement-induced entanglement Hamiltonian cites this paper.

Measurement-induced entanglement Hamiltonian Theory of the phase transition in random unitary circuits with measurements

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T18:24:57.375083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T18:24:53.955100Z digest=sha256:7a04243d7cdbff5f67dc98e36a0542c4d0fc0247d0ca6742c67a70d60776feb7