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Paper Citation Record · LEDGER

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2412.03109.

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

pith.paper-citation-record.v1
2412.03109 v1

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T23:23:06.587442Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

38 of 38 outbound references displayed

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  • verified fuzzy8
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 4b43167f-fca1-45bc-b023-370f9a5de566 · outbound

This paper cites In comparison, in Pauli quantum computing, we use I and X to take the roles of |0⟩ and |1⟩ in SQC.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ In comparison, in Pauli quantum computing, we use I and X to take the roles of |0⟩ and |1⟩ in SQC

Reference 1

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source=pdf_text observed=2026-08-11T23:23:06.422328Z digest=sha256:736f31ed930af6407e90240484f4b77e9e1b1fd081d2f6049b56da36dc77a0e4

Observation 1de074c9-b326-4621-8f4b-dcd90d679522 · outbound

This paper cites When V is built by the above 4 gates, it has the form V = H ⊗nU H⊗n with U a unitary circuit com- posed of {H, Sg, T,CNOT}.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ When V is built by the above 4 gates, it has the form V = H ⊗nU H⊗n with U a unitary circuit com- posed of {H, Sg, T,CNOT}

Reference 2

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Observation 5bc0e385-51d6-49da-a97a-e0dbbbd1c0b1 · outbound

This paper cites However, we want to emphasize that this has nothing to do with NP ∈ BQP since how to efficiently construct such an oracle is unknown.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ However, we want to emphasize that this has nothing to do with NP ∈ BQP since how to efficiently construct such an oracle is unknown

Reference 3

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Observation 5465cbb0-0504-4203-b07a-471251c30edc · outbound

This paper cites an unresolved cited work.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

Reference 4

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Observation 31a7915f-cc00-41c6-9fac-118342966164 · outbound

This paper cites an unresolved cited work.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

Reference 5

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Observation 31e53ddb-182d-4b4b-8c25-3d09f3dd94c9 · outbound

This paper cites an unresolved cited work.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

Reference 6

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Observation 24b8f184-3a72-43d5-9b7b-658681ad09cb · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

Reference 7

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Observation 52d8a02a-9d98-4637-8b2e-e84bea326176 · outbound

This paper cites Entanglement-induced exponential advantage in amplitude estimation via state matrixization.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Entanglement-induced exponential advantage in amplitude estimation via state matrixization

Reference 8

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Observation b1c29b61-1975-4b80-9522-5491e8e7cbe7 · outbound

This paper cites Quantum algorithms: A survey of applications and end-to-end complexities.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Quantum algorithms: A survey of applications and end-to-end complexities

Reference 9

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Observation 952791e4-5881-4620-87b9-1c30a9eb05cb · outbound

This paper cites A polynomial-time dissipation-based quantum algorithm for solving the ground states of a class of classically hard Hamiltonians.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ A polynomial-time dissipation-based quantum algorithm for solving the ground states of a class of classically hard Hamiltonians

Reference 10

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Observation 2e14b9c8-fb70-463a-aac8-8b9585bc9574 · outbound

This paper cites Unconditionally decoherence-free quantum error mitigation by density matrix vectorization.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unconditionally decoherence-free quantum error mitigation by density matrix vectorization

Reference 11

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source=pdf_text observed=2026-08-11T23:23:06.460114Z digest=sha256:10a813d76d768e26d74d800786560192c9ac3d62ef1a47864c9fa1d6687b2838

Observation 65e3181a-55be-43a4-b1ed-a0f82a354187 · outbound

This paper cites Aaronson and D.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Aaronson and D

Reference 12

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Observation da908a33-52f3-418e-be53-15b21b19731d · outbound

This paper cites 12, PQC shrinks the opera- tor expectation values resulting in a larger complexity in estimation compared with SQC, in contrast, in Eq.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ 12, PQC shrinks the opera- tor expectation values resulting in a larger complexity in estimation compared with SQC, in contrast, in Eq

Reference 13

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source=pdf_text observed=2026-08-11T23:23:06.417981Z digest=sha256:c96bb80bdb1e31ad27f74e3c43e73116663c345fceb08238a6d3cdfd4c57edf7

Observation 4380e584-3974-4e43-865f-940a2565db70 · outbound

This paper cites Gottesman, Stabilizer codes and quantum error cor- rection (California Institute of Technology, 1997).

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Gottesman, Stabilizer codes and quantum error cor- rection (California Institute of Technology, 1997)

Reference 14

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Observation fabee585-4069-4235-90ba-78239b51fcb6 · outbound

This paper cites Leone, S.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Leone, S

Reference 15

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Observation 598c6cee-629e-45f7-b3fc-3fe99704dd1d · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ The Heisenberg Representation of Quantum Computers

Reference 16

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Observation a9c319d0-a411-4d06-bdc1-d0db2fa3e26a · outbound

This paper cites Aharonov, X.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Aharonov, X

Reference 17

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Observation ec10054b-8ed0-41a4-9c07-e4d422a9a4f7 · outbound

This paper cites A polynomial-time classical algorithm for noisy quantum circuits.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ A polynomial-time classical algorithm for noisy quantum circuits

Reference 18

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Observation 2b066a6c-9d11-4b12-89d9-2c4c45f94b65 · outbound

This paper cites Lindblad, On the generators of quantum dynamical semigroups, Communications in mathematical physics 48, 119 (1976).

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Lindblad, On the generators of quantum dynamical semigroups, Communications in mathematical physics 48, 119 (1976)

Reference 19

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Observation 65c7b396-9d2a-4179-88d1-ed9cefde5a97 · outbound

This paper cites Gorini, A.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Gorini, A

Reference 20

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Observation 229bcad3-674e-4f38-8b0b-d0338da17b79 · outbound

This paper cites Shang, N.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Shang, N

Reference 21

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Observation e1f65021-4f94-4fa1-852f-27e9d9024771 · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

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Observation 021238e2-ef2d-42b0-9bb8-d33a2be08a67 · outbound

This paper cites Cleve, A.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Cleve, A

Reference 23

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Observation be2cf2a1-23eb-4cdd-be91-0b054d713b74 · outbound

This paper cites Brassard, P.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Brassard, P

Reference 24

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Observation 6d7e8311-29ae-4ae2-9dac-aba83fd77d1b · outbound

This paper cites Aaronson and P.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Aaronson and P

Reference 25

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Observation e10c59cc-a9c1-4b50-9013-9d2ba3893b02 · outbound

This paper cites Grinko, J.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Grinko, J

Reference 26

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Observation 7ce98551-e8d5-4a58-bc1f-ffdf3110f34c · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

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Observation c4d94dfc-4baa-403f-9029-1a46dd0e04ee · outbound

This paper cites Anshu, N.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Anshu, N

Reference 28

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Observation 88d225f7-cfc9-4e8b-bf25-d118f90bea4e · outbound

This paper cites Vojta, Frustration and quantum criticality, Reports on Progress in Physics 81, 064501 (2018).

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Vojta, Frustration and quantum criticality, Reports on Progress in Physics 81, 064501 (2018)

Reference 29

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Observation b437f077-a88d-4447-8467-45f0b02e57b8 · outbound

This paper cites Hangleiter and J.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Hangleiter and J

Reference 30

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Observation da1b01ce-8ff8-4813-ac0a-b0c533ba1e38 · outbound

This paper cites Rall, Quantum algorithms for estimating physical quantities using block encodings, Physical Review A102, 022408 (2020).

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Rall, Quantum algorithms for estimating physical quantities using block encodings, Physical Review A102, 022408 (2020)

Reference 31

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Observation 49a773c0-8768-471c-b47c-e28c06b3d26c · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

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Observation ca5dec74-4905-41c5-b39b-2ca5d2dcb543 · outbound

This paper cites Bravyi, D.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Bravyi, D

Reference 33

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Observation 995e58eb-e16b-4412-bb2d-d0da01bb4b49 · outbound

This paper cites Coppersmith and S.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Coppersmith and S

Reference 34

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Observation 2798852e-1b76-4766-a01d-a4bcf7c5695e · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

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Observation fa5da3e1-9512-4866-a0c2-cbf71d7d7d4f · outbound

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Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

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raw_fallback, observed 2026-08-11T23:23:06.853698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T23:23:06.579433Z digest=sha256:0b0ddc1cea5737736cfb47ba0a405ffee89a3d873f83826c2dafb7bbba208759

Observation fa14d504-4f14-47b0-988c-ebd7b48fa110 · outbound

This paper cites Preskill, Lecture notes for physics 229: Quantum in- formation and computation, California institute of tech- nology 16, 1 (1998).

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Preskill, Lecture notes for physics 229: Quantum in- formation and computation, California institute of tech- nology 16, 1 (1998)

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T23:23:06.583736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:23:06.583736Z digest=sha256:40da9ec703b91f92cb5a76c20d1a048ded80ad2be0e1239e42d58275e1387ad4

Observation 92955d3b-4ef0-47bd-b599-c1b28ee625a9 · outbound

This paper cites an unresolved cited work.

Pauli quantum computing: $I$ as $|0\rangle$ and $X$ as $|1\rangle$ Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:23:06.830265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T23:23:06.587442Z digest=sha256:77393390dda5f6d661515bc5956205544a5d7e8ef90f96686055ff3fb2cb41a7

Pith citing papers

No inbound Pith citation observations are available.