Strong unitary designs in optimal depth and space | Paper Citation Record

Observation 05380061-10c9-4832-9ee3-3d062764b59c · outbound

This paper cites Surveys in Combinatorics, 1989 , editor =.

Strong unitary designs in optimal depth and space Surveys in Combinatorics, 1989 , editor =

Reference 1

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Observation 545d73f9-ad6b-46bb-9e1e-640883879e3b · outbound

This paper cites Concentration Inequalities: A Nonasymptotic Theory of Independence , publisher =.

Strong unitary designs in optimal depth and space Concentration Inequalities: A Nonasymptotic Theory of Independence , publisher =

Reference 2

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This paper cites 2025 , eprint=.

Strong unitary designs in optimal depth and space 2025 , eprint=

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Observation 27f51650-2cbc-47f6-8e0b-6d42be3432a5 · outbound

This paper cites , title =.

Strong unitary designs in optimal depth and space , title =

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Observation c82c84f4-aff5-4b27-bbee-25664df199b6 · outbound

This paper cites and Thomas, Joy A.

Strong unitary designs in optimal depth and space and Thomas, Joy A

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Observation a8aa1040-c089-4728-8557-559acbb9b4f1 · outbound

This paper cites 2021 , eprint=.

Strong unitary designs in optimal depth and space 2021 , eprint=

Reference 7

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Observation 7f13efc5-0952-4537-9881-acbab6c9f9e1 · outbound

This paper cites Annals of Mathematics , author=.

Strong unitary designs in optimal depth and space Annals of Mathematics , author=

Reference 8

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Observation a5266015-3b34-4e82-bc5a-b44fd90e0b12 · outbound

This paper cites Journal of High Energy Physics , year =.

Strong unitary designs in optimal depth and space Journal of High Energy Physics , year =

Reference 9

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Observation ce9a0230-4be1-441e-81cb-d86156be3323 · outbound

This paper cites Journal of High Energy Physics , year =.

Strong unitary designs in optimal depth and space Journal of High Energy Physics , year =

Reference 10

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This paper cites 2017 , eprint =.

Strong unitary designs in optimal depth and space 2017 , eprint =

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Observation c2cee98a-3d0b-4376-bae7-a273fc8aaeb4 · outbound

This paper cites and Osborne, Tobias and Hayden, Patrick , title =.

Strong unitary designs in optimal depth and space and Osborne, Tobias and Hayden, Patrick , title =

Reference 12

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Observation 1f865641-da6d-4496-9a2e-8543b831b3b2 · outbound

This paper cites and Stanford, Douglas , title =.

Strong unitary designs in optimal depth and space and Stanford, Douglas , title =

Reference 13

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Observation 9385afbb-82c3-4da6-90a1-2a6b47eefcca · outbound

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Strong unitary designs in optimal depth and space Unresolved cited work

Reference 14

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Observation a9574c68-5365-4442-96bd-5f659905b771 · outbound

This paper cites 2015 , url =.

Strong unitary designs in optimal depth and space 2015 , url =

Reference 15

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Observation c2d019ad-cb25-4c23-9052-a3a08db8d6b5 · outbound

This paper cites 2012 , eprint =.

Strong unitary designs in optimal depth and space 2012 , eprint =

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.309249Z

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Observation b6b4ce60-7d82-4273-bd2c-cfda3ba810d7 · outbound

This paper cites Communications in Mathematical Physics , year =.

Strong unitary designs in optimal depth and space Communications in Mathematical Physics , year =

Reference 20

Resolution: verified exact; doi, observed 2026-08-14T06:04:00.153033Z

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Observation 484c2b8e-67b1-4c36-8821-db4451d01a45 · outbound

This paper cites and Low, Richard A.

Strong unitary designs in optimal depth and space and Low, Richard A

Reference 21

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Observation 7b45edfd-f853-438c-8622-269d46a02f5a · outbound

This paper cites Local Random Quantum Circuits are Approximate Polynomial-Designs , journal =.

Strong unitary designs in optimal depth and space Local Random Quantum Circuits are Approximate Polynomial-Designs , journal =

Reference 22

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Observation c029d788-0715-4f07-befd-15faab7a5663 · outbound

This paper cites Science , year =.

Strong unitary designs in optimal depth and space Science , year =

Reference 23

Resolution: verified exact; doi, observed 2026-08-14T06:04:00.116214Z

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Observation 2a6bd384-88f4-487e-8f9f-9367d1df94ef · outbound

This paper cites and Grevink, L.

Strong unitary designs in optimal depth and space and Grevink, L

Reference 25

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Observation cba624e0-eae5-464f-aabd-0690fee116e3 · outbound

This paper cites , title =.

Strong unitary designs in optimal depth and space , title =

Reference 27

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Observation 21b0c571-aceb-4e1c-b6b4-11e3c44cc49c · outbound

This paper cites Physical Review A , year =.

Strong unitary designs in optimal depth and space Physical Review A , year =

Reference 28

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Observation 11e2d2b8-d601-455d-a511-f62539358d08 · outbound

This paper cites Tohoku Mathematical Journal , year =.

Strong unitary designs in optimal depth and space Tohoku Mathematical Journal , year =

Reference 30

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Observation e34786ed-e901-4f6c-a342-b9672b076b34 · outbound

This paper cites Journal of the American Statistical Association , year =.

Strong unitary designs in optimal depth and space Journal of the American Statistical Association , year =

Reference 31

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Observation d4192ee1-e1fb-4a68-8136-fdd5ac831a9e · outbound

This paper cites A bound on chaos.

Strong unitary designs in optimal depth and space A bound on chaos

Reference 34

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Observation fc858c54-1350-4ef2-89bb-c682931a6867 · outbound

This paper cites 2025 , eprint=.

Strong unitary designs in optimal depth and space 2025 , eprint=

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.246724Z

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Observation 1d2d3ca0-8854-4a41-a654-a52da788d6a9 · outbound

This paper cites Scrambling Dynamics and Out-of-Time-Ordered Correlators in Quantum Many-Body Systems , volume=.

Strong unitary designs in optimal depth and space Scrambling Dynamics and Out-of-Time-Ordered Correlators in Quantum Many-Body Systems , volume=

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.231661Z

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Observation 5132b956-f9e5-450e-a63f-6d7284e8e33d · outbound

This paper cites Weinstein and Marcos Saraceno and Seth Lloyd and David G.

Strong unitary designs in optimal depth and space Weinstein and Marcos Saraceno and Seth Lloyd and David G

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.214997Z

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Observation 75f38821-eaf8-43ff-a1dc-c8e73c7ab205 · outbound

This paper cites and Audenaert, K.

Strong unitary designs in optimal depth and space and Audenaert, K

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.198900Z

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Observation 8c3887b7-3f45-43f3-ad6c-87fe0b65b4a2 · outbound

This paper cites 2005 , eprint=.

Strong unitary designs in optimal depth and space 2005 , eprint=

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.184683Z

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Observation 4776a8e9-29bc-4a3e-9188-43e9732b9d0b · outbound

This paper cites Exact and approximate unitary 2-designs and their application to fidelity estimation , volume=.

Strong unitary designs in optimal depth and space Exact and approximate unitary 2-designs and their application to fidelity estimation , volume=

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.169542Z

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Observation a3b69501-0921-4d74-ae15-3f353686f685 · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 43

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Observation baddbce3-45b3-4399-a8c4-a38e5cb4f095 · outbound

This paper cites 2018 , url =.

Strong unitary designs in optimal depth and space 2018 , url =

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.141065Z

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Observation 2b055738-14a7-48c9-bcf8-b495b82181e5 · outbound

This paper cites 2025 , archivePrefix=.

Strong unitary designs in optimal depth and space 2025 , archivePrefix=

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.125932Z

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Observation ec2eb015-b9cc-4f79-9aa4-11fcb40739ae · outbound

This paper cites Improved spectral gaps for random quantum circuits: large local dimensions and all-to-all interactions.

Strong unitary designs in optimal depth and space Improved spectral gaps for random quantum circuits: large local dimensions and all-to-all interactions

Reference 46

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:04:00.644435Z

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Observation ce9c1c44-6d3a-4e9f-bb5b-6ae2ed60db70 · outbound

This paper cites Grounding Artificial Intelligence in the Origins of Human Behavior.

Strong unitary designs in optimal depth and space Grounding Artificial Intelligence in the Origins of Human Behavior

Reference 47

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:04:00.623081Z

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Observation 0533bde8-db7e-44ee-b208-3d167f231bd7 · outbound

This paper cites and Mehraban, Saeed , title =.

Strong unitary designs in optimal depth and space and Mehraban, Saeed , title =

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.110538Z

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Observation 23210db3-a407-479b-abf6-3584066a343a · outbound

This paper cites Fast scrambling on sparse graphs.

Strong unitary designs in optimal depth and space Fast scrambling on sparse graphs

Reference 50

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:04:00.584586Z

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Observation e6fdd7cf-cbfc-43dc-a2b8-ec4eedba813d · outbound

This paper cites 2024 , eprint =.

Strong unitary designs in optimal depth and space 2024 , eprint =

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.094622Z

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Observation 99f80fee-7e1b-4237-bdcc-fa68ea424fe9 · outbound

This paper cites Toward a general theory of quantum games.

Strong unitary designs in optimal depth and space Toward a general theory of quantum games

Reference 52

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Observation 0d25d84b-5d17-49d2-9b95-10552699ce36 · outbound

This paper cites , title =.

Strong unitary designs in optimal depth and space , title =

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.078985Z

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Observation b38de0ff-54ba-4fbd-8d14-239967ddfaff · outbound

This paper cites 2025 , eprint =.

Strong unitary designs in optimal depth and space 2025 , eprint =

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.062264Z

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Observation e5614b03-bf29-4aa9-993f-de0b8f1e4a1a · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 55

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Observation da79fa57-c843-4dab-a6f6-2c699d9e98b3 · outbound

This paper cites Chaos and quantum thermalization , volume=.

Strong unitary designs in optimal depth and space Chaos and quantum thermalization , volume=

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.030816Z

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Observation 6268274b-6613-4aaf-9b1e-8f9e7045f0dc · outbound

This paper cites Thermalization and its mechanism for generic isolated quantum systems , volume=.

Strong unitary designs in optimal depth and space Thermalization and its mechanism for generic isolated quantum systems , volume=

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:01.013334Z

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Observation a4ca4037-a2c5-44a2-8535-3d7d71e6a989 · outbound

This paper cites 2024 , eprint=.

Strong unitary designs in optimal depth and space 2024 , eprint=

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:00.995875Z

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Observation 7567ba03-8542-4c9e-b975-d41ffa00c78d · outbound

This paper cites 2025 , eprint=.

Strong unitary designs in optimal depth and space 2025 , eprint=

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T06:04:00.981188Z

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Observation f1e84a8a-4c53-4ca2-befb-7f90c043cfdf · outbound

This paper cites Schuster , author F.

Strong unitary designs in optimal depth and space Schuster , author F

Reference 61

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Observation 758ddad5-e34e-4e5a-bef5-3cb104f78673 · outbound

This paper cites Fast Scramblers.

Strong unitary designs in optimal depth and space Fast Scramblers

Reference 62

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Observation ba0cd621-7b56-4e29-a263-0303775cd818 · outbound

This paper cites Towards the fast scrambling conjecture.

Strong unitary designs in optimal depth and space Towards the fast scrambling conjecture

Reference 63

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Observation 5e426765-d439-431b-a095-fb95c32c924c · outbound

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Strong unitary designs in optimal depth and space Unresolved cited work

Reference 64

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Observation 91f8aef2-bb76-4a12-9e40-ffb124cf920d · outbound

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Strong unitary designs in optimal depth and space Unresolved cited work

Reference 65

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Observation 310f4156-6d2a-470e-a59f-617789fd8a21 · outbound

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Strong unitary designs in optimal depth and space Rigol , author V

Reference 66

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Observation b7119769-11ac-4004-9e58-282446f86c4e · outbound

This paper cites Black holes as mirrors: quantum information in random subsystems.

Strong unitary designs in optimal depth and space Black holes as mirrors: quantum information in random subsystems

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.812451Z

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Observation 3a10940b-f131-4a4e-9168-86a7b51167d4 · outbound

This paper cites Scrambling speed of random quantum circuits.

Strong unitary designs in optimal depth and space Scrambling speed of random quantum circuits

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.816933Z

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Observation dd0299f3-9193-4533-89bd-d2ad873a7d1f · outbound

This paper cites Decoupling with random quantum circuits.

Strong unitary designs in optimal depth and space Decoupling with random quantum circuits

Reference 69

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Observation 2bdf9127-a470-4568-9f54-b6f26f5e2b26 · outbound

This paper cites Black holes and the butterfly effect.

Strong unitary designs in optimal depth and space Black holes and the butterfly effect

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.825784Z

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Observation 5b4b204a-7153-458b-ab69-2b9e63a31258 · outbound

This paper cites Two-dimensional conformal field theory and the butterfly effect.

Strong unitary designs in optimal depth and space Two-dimensional conformal field theory and the butterfly effect

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.830763Z

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Observation 53519df8-7f11-43f7-b760-539070dd72b7 · outbound

This paper cites Operator Spreading in Random Unitary Circuits.

Strong unitary designs in optimal depth and space Operator Spreading in Random Unitary Circuits

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.835151Z

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Observation 28e03ebe-c19b-473c-bae4-a43b74e77267 · outbound

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Strong unitary designs in optimal depth and space Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:04:00.966206Z

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Observation e1c399a5-c744-449d-abe2-1a193750abf3 · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:04:00.950677Z

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Observation 3e42f072-5572-4d8b-86ae-684fc6817b43 · outbound

This paper cites Measuring the scrambling of quantum information.

Strong unitary designs in optimal depth and space Measuring the scrambling of quantum information

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.849855Z

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Observation 801ae49d-b8b2-4348-8648-07fc8f7d1b15 · outbound

This paper cites Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet.

Strong unitary designs in optimal depth and space Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.854654Z

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Observation eb9e9899-6d1b-4bc0-8230-84bc11e6bcd8 · outbound

This paper cites Chaos in quantum channels.

Strong unitary designs in optimal depth and space Chaos in quantum channels

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.859176Z

Source-reported events for the cited work

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Observation 45c5480f-227d-4f90-a4f3-77bae1d33391 · outbound

This paper cites Chaos and complexity by design.

Strong unitary designs in optimal depth and space Chaos and complexity by design

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.863629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdbaa621-8cf8-4d38-a471-12eec62002a0 · outbound

This paper cites King , author R.

Strong unitary designs in optimal depth and space King , author R

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.868315Z

Source-reported events for the cited work

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Observation 69a1e462-520e-46b5-90b1-ed6e26437a7e · outbound

This paper cites Constructive interference at the edge of quantum ergodic dynamics.

Strong unitary designs in optimal depth and space Constructive interference at the edge of quantum ergodic dynamics

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.872960Z

Source-reported events for the cited work

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Observation c333588f-296e-4ed1-a360-00b71df71968 · outbound

This paper cites Emerson , author Y.

Strong unitary designs in optimal depth and space Emerson , author Y

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.878503Z

Source-reported events for the cited work

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Observation d8112d74-5117-4d81-bb5a-e93d978e84c3 · outbound

This paper cites Gross , author K.

Strong unitary designs in optimal depth and space Gross , author K

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.883117Z

Source-reported events for the cited work

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Observation f09adb9d-0149-469d-b63f-8d4e20bbdf2f · outbound

This paper cites Efficient Simulation of Random Quantum States and Operators.

Strong unitary designs in optimal depth and space Efficient Simulation of Random Quantum States and Operators

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.887973Z

Source-reported events for the cited work

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Observation c1aab2b1-3a5d-4ee8-87ec-237cfdd16890 · outbound

This paper cites Random Quantum Circuits are Approximate 2-designs.

Strong unitary designs in optimal depth and space Random Quantum Circuits are Approximate 2-designs

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.892802Z

Source-reported events for the cited work

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Observation 377c8c6f-3074-4639-8d6f-d648502f8444 · outbound

This paper cites Local random quantum circuits are approximate polynomial-designs.

Strong unitary designs in optimal depth and space Local random quantum circuits are approximate polynomial-designs

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.896972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a67a41d6-aabf-45fb-8dc5-f498a8e18df6 · outbound

This paper cites Dankert , author R.

Strong unitary designs in optimal depth and space Dankert , author R

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.901373Z

Source-reported events for the cited work

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Observation 509b425a-b785-43f3-8e51-6db1f8fe1883 · outbound

This paper cites Magesan , author J.

Strong unitary designs in optimal depth and space Magesan , author J

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.906816Z

Source-reported events for the cited work

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Observation a85379ff-845a-4f48-89a9-cb09a8e1cb53 · outbound

This paper cites Efficient decoding for the Hayden-Preskill protocol.

Strong unitary designs in optimal depth and space Efficient decoding for the Hayden-Preskill protocol

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.911690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d9c96bc-c051-4e6e-afda-56a853dc9c82 · outbound

This paper cites Theoretical framework for quantum networks.

Strong unitary designs in optimal depth and space Theoretical framework for quantum networks

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.917731Z

Source-reported events for the cited work

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Observation d5941371-cddf-46e7-aa02-1b5f7c7fc1be · outbound

This paper cites Sheridan , author D.

Strong unitary designs in optimal depth and space Sheridan , author D

Reference 90

Resolution: verified exact; doi, observed 2026-08-14T06:04:00.062215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d1404b13-f4f9-42bb-aea8-33ff1cb45ddd · outbound

This paper cites Are controlled unitaries helpful?.

Strong unitary designs in optimal depth and space Are controlled unitaries helpful?

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.926700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f75faa4e-811b-4b7a-a819-287764af5589 · outbound

This paper cites Arts & crafts: Strong random unitaries and geometric locality.

Strong unitary designs in optimal depth and space Arts & crafts: Strong random unitaries and geometric locality

Reference 92

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T06:04:00.362492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 212a2dcf-da24-4ec6-a5bc-a96f841a04a1 · outbound

This paper cites Random unitaries in extremely low depth.

Strong unitary designs in optimal depth and space Random unitaries in extremely low depth

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.936456Z

Source-reported events for the cited work

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Observation 6d5b6deb-3d81-4b08-9d05-f9b4bc978d1c · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.941375Z

Source-reported events for the cited work

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Observation 5395bcb5-818f-41da-a92c-1e2f5a49abed · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 95

Resolution: unresolved; raw_fallback, observed 2026-08-14T06:04:00.933557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fac093e9-d52a-4258-a8f5-262000b9f5a4 · outbound

This paper cites Unitary designs in nearly optimal depth.

Strong unitary designs in optimal depth and space Unitary designs in nearly optimal depth

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.950516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c04cf79b-c97b-48b1-b014-42e31fa2fb21 · outbound

This paper cites an unresolved cited work.

Strong unitary designs in optimal depth and space Unresolved cited work

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.956184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c95dcce5-dbac-4652-8db5-f09a4a20f159 · outbound

This paper cites Incompressibility and spectral gaps of random circuits.

Strong unitary designs in optimal depth and space Incompressibility and spectral gaps of random circuits

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-14T06:03:59.960283Z

Source-reported events for the cited work

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