Can scrambling protect quantum state distinguishability under noise? | Paper Citation Record

Observation 0ad33b84-4c7e-4e69-8b7c-5da3d56aed5c · outbound

This paper cites The behavior for local Pauli noise exhibits identical structural transitions, as illustrated in Fig.

Can scrambling protect quantum state distinguishability under noise? The behavior for local Pauli noise exhibits identical structural transitions, as illustrated in Fig

Reference 1

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Observation 57219951-f7b4-4ae6-aa8b-43de34e9c223 · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 2

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Observation 6905111c-b6ab-4820-9738-dfe2991a6220 · outbound

This paper cites Consequently, the learning protocol necessar- ily demands an exponentially large sample complexity, rendering it inefficient without fault tolerance.

Can scrambling protect quantum state distinguishability under noise? Consequently, the learning protocol necessar- ily demands an exponentially large sample complexity, rendering it inefficient without fault tolerance

Reference 3

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Observation 5b4bc61d-49d9-4aa4-8a89-93614973edb2 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 4

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Observation 5f8c6201-3c08-4f5c-b2bf-d4c9587f4050 · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 5

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Observation 64c908f9-ac39-4457-9015-111641e64998 · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 6

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Observation c8d3235f-f339-467c-a9da-19f5a5739d04 · outbound

This paper cites Buhrman, R.

Can scrambling protect quantum state distinguishability under noise? Buhrman, R

Reference 7

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Observation a43bcade-f47c-469a-ba65-c028b96f0886 · outbound

This paper cites Aaronson, The learnability of quantum states, Proc.

Can scrambling protect quantum state distinguishability under noise? Aaronson, The learnability of quantum states, Proc

Reference 8

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Observation d3160a6f-030c-4239-959c-2babf16ec02a · outbound

This paper cites Huang, R.

Can scrambling protect quantum state distinguishability under noise? Huang, R

Reference 9

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Observation 9cdcffde-b51b-4c8b-b87d-1f07d5e132bb · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 10

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Observation 62955910-e805-49f0-a30f-57f517ce79a5 · outbound

This paper cites Hayden, D.

Can scrambling protect quantum state distinguishability under noise? Hayden, D

Reference 11

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Observation 4d0181ae-117a-4494-8d33-a93f761ec182 · outbound

This paper cites Matthews, S.

Can scrambling protect quantum state distinguishability under noise? Matthews, S

Reference 12

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Observation ac40ce34-8ab4-4729-a3b4-ab027d3e4ceb · outbound

This paper cites D¨ ur and H.-J.

Can scrambling protect quantum state distinguishability under noise? D¨ ur and H.-J

Reference 13

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Observation a5fc9ad1-810b-4413-b370-7627bbc653fe · outbound

This paper cites Optimal algorithms for learning quantum phase states.

Can scrambling protect quantum state distinguishability under noise? Optimal algorithms for learning quantum phase states

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-01T23:16:24.451372Z

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Observation 895a47ae-7023-482c-9687-7de8fc0bfbce · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 15

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Observation fb90f679-c4e4-4cd8-9160-6dd00931f83c · outbound

This paper cites Nahum, J.

Can scrambling protect quantum state distinguishability under noise? Nahum, J

Reference 16

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Observation 12ae384b-6dc7-48eb-b4a5-06d2e9abade2 · outbound

This paper cites Hosur, X.-L.

Can scrambling protect quantum state distinguishability under noise? Hosur, X.-L

Reference 17

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Observation 88db2070-181a-4870-8e94-59fe67895f77 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 18

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Observation aabe7105-c890-4e2e-a50f-c3671188e7c6 · outbound

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

Can scrambling protect quantum state distinguishability under noise? Gottesman,Stabilizer codes and quantum error cor- rection(California Institute of Technology, 1997)

Reference 19

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Observation 026d8674-1b98-4f1a-b0b4-559017d1f397 · outbound

This paper cites Brown and O.

Can scrambling protect quantum state distinguishability under noise? Brown and O

Reference 20

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Observation 05f292b4-7d07-4e6f-85aa-3b25d72a6bb5 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 21

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Observation 672a55d5-00c9-47be-b871-7e51ac9f5788 · outbound

This paper cites Kong and Z.-W.

Can scrambling protect quantum state distinguishability under noise? Kong and Z.-W

Reference 22

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Observation cbd5b05e-cae7-46a1-a0a2-c6eaf8898de3 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 23

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Observation 4c32ec5e-cc40-4455-bd77-deddd858fd4d · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 24

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Observation fc5b0795-a3d1-42a4-98e1-4256b78fcef6 · outbound

This paper cites Nelson, G.

Can scrambling protect quantum state distinguishability under noise? Nelson, G

Reference 25

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Observation ec4d05ef-415f-4d43-909b-d40e6e63ed9d · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 26

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Observation 4ad420d6-fb51-4d15-928b-f8153939c2ac · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 27

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Observation 081cb113-e832-44a7-a58b-15270c170dc6 · outbound

This paper cites Morvan, B.

Can scrambling protect quantum state distinguishability under noise? Morvan, B

Reference 28

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Observation de1ca889-8360-4e5d-a9ec-980fb886b039 · outbound

This paper cites Aharonov, X.

Can scrambling protect quantum state distinguishability under noise? Aharonov, X

Reference 29

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Observation c3573215-301b-40d2-b7a7-50e5a8e08c61 · outbound

This paper cites Fefferman, S.

Can scrambling protect quantum state distinguishability under noise? Fefferman, S

Reference 30

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Observation 3125e9e2-c4d0-4532-9383-8367e418c998 · outbound

This paper cites Hayden and J.

Can scrambling protect quantum state distinguishability under noise? Hayden and J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation 2d3108bb-f9ad-4330-8f17-3388493ac495 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 32

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Observation 87f8b37d-a84c-446c-9c6d-224be0e4e4e2 · outbound

This paper cites Szehr, F.

Can scrambling protect quantum state distinguishability under noise? Szehr, F

Reference 33

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Observation 8f6287a4-a99a-4816-b581-5f6afe45baf2 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 34

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Observation a1a9d3ee-cf15-481b-a0b3-691dec865c4f · outbound

This paper cites Emerson, Y.

Can scrambling protect quantum state distinguishability under noise? Emerson, Y

Reference 35

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Observation ef57336e-9c6d-455b-8ca2-3016c4a60a28 · outbound

This paper cites Dankert, R.

Can scrambling protect quantum state distinguishability under noise? Dankert, R

Reference 36

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Observation 94f26d48-211b-458a-baf1-252a7d858d42 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 37

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Observation 3ccd7bad-942e-40af-9227-db6f47df936c · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 38

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Observation 8044a455-1227-4dd9-9872-614c62f6f93c · outbound

This paper cites Cleve, D.

Can scrambling protect quantum state distinguishability under noise? Cleve, D

Reference 39

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Observation 5b29ef82-67a9-4124-b121-ee96517f14c0 · outbound

This paper cites Qubit stabilizer states are complex projective 3-designs.

Can scrambling protect quantum state distinguishability under noise? Qubit stabilizer states are complex projective 3-designs

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-01T23:16:24.445402Z

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

Observation f7535ec0-d696-4059-9a50-6bba5520c7b5 · outbound

This paper cites Zhu, Multiqubit clifford groups are unitary 3-designs, Phys.

Can scrambling protect quantum state distinguishability under noise? Zhu, Multiqubit clifford groups are unitary 3-designs, Phys

Reference 41

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Observation a0985807-5a5d-4f87-a7f6-993a63de9943 · outbound

This paper cites Webb, The clifford group forms a unitary 3-design, Quantum Info.

Can scrambling protect quantum state distinguishability under noise? Webb, The clifford group forms a unitary 3-design, Quantum Info

Reference 42

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Observation 6229dff1-5da6-400f-85d6-add90142c8e3 · outbound

This paper cites Bravyi and D.

Can scrambling protect quantum state distinguishability under noise? Bravyi and D

Reference 43

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Observation e065a375-f8e1-4acf-bd54-75bde09bbb67 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 44

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Observation ef0f02a3-fe28-441a-b2c3-08bc534808d4 · outbound

This paper cites Efficient quantum pseudorandomness under conservation laws.

Can scrambling protect quantum state distinguishability under noise? Efficient quantum pseudorandomness under conservation laws

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-07-01T23:16:24.448808Z

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Observation f9357dc9-8e84-4b4f-b13b-06c9640cfe15 · outbound

This paper cites Schuster, J.

Can scrambling protect quantum state distinguishability under noise? Schuster, J

Reference 46

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Observation 9be428d3-973e-48a3-9d36-15c563ebcc9e · outbound

This paper cites LaRacuente and F.

Can scrambling protect quantum state distinguishability under noise? LaRacuente and F

Reference 47

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Observation 2fdffde4-26c5-4c7f-9e30-d3dd487bca8c · outbound

This paper cites Knill, D.

Can scrambling protect quantum state distinguishability under noise? Knill, D

Reference 48

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Observation 0f72d5ff-4df0-43c8-aa68-9acf148d1077 · outbound

This paper cites Elben, S.

Can scrambling protect quantum state distinguishability under noise? Elben, S

Reference 49

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Observation 36a26803-09c1-406b-8beb-1fa339dfd0c6 · outbound

This paper cites Zhou and S.

Can scrambling protect quantum state distinguishability under noise? Zhou and S

Reference 50

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Observation 0a91e0fe-3b37-43d6-951e-b2e496af006a · outbound

This paper cites Arute, K.

Can scrambling protect quantum state distinguishability under noise? Arute, K

Reference 51

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Observation 4e8c3881-cd87-4d3f-8d1e-be59d43e91c4 · outbound

This paper cites Bouland, B.

Can scrambling protect quantum state distinguishability under noise? Bouland, B

Reference 52

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Observation 93908178-05f0-429b-a2fb-d1c0c2352f07 · outbound

This paper cites Wu, W.-S.

Can scrambling protect quantum state distinguishability under noise? Wu, W.-S

Reference 53

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Observation 54a9f18c-22aa-451a-b320-43ed905ab535 · outbound

This paper cites Dupuis, M.

Can scrambling protect quantum state distinguishability under noise? Dupuis, M

Reference 54

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Observation cbb6c113-049f-41aa-b2ac-1cf0d146c88e · outbound

This paper cites Quantum conditional entropies from convex trace functionals.

Can scrambling protect quantum state distinguishability under noise? Quantum conditional entropies from convex trace functionals

Reference 55

Resolution: verified exact; local_arxiv, observed 2026-07-01T23:16:24.442748Z

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Observation 25c7ffa1-9ac4-47dd-8546-bec6298dddbc · outbound

This paper cites Hayden, M.

Can scrambling protect quantum state distinguishability under noise? Hayden, M

Reference 56

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Observation 50319a19-190d-452a-a356-8224d433ecf5 · outbound

This paper cites Hausladen, R.

Can scrambling protect quantum state distinguishability under noise? Hausladen, R

Reference 57

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Observation e4a2a93a-9c2d-4942-a7ff-0c86fd8797c6 · outbound

This paper cites Datta, M.

Can scrambling protect quantum state distinguishability under noise? Datta, M

Reference 58

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Observation 4a12ff1c-b0d9-4a74-bcaa-2949a5325453 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

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Observation 5072c365-e486-47e9-923d-1f7448cea9ce · outbound

This paper cites Schumacher and M.

Can scrambling protect quantum state distinguishability under noise? Schumacher and M

Reference 60

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Observation 6b845059-e91d-4bd1-8abf-c7cbc9413920 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 61

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Observation 0387b1ee-02fc-4f75-9733-e4786e81b71b · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 62

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Observation 4cefcf04-fad4-48aa-8537-f9aa1ce2ed47 · outbound

This paper cites B´ eny and O.

Can scrambling protect quantum state distinguishability under noise? B´ eny and O

Reference 63

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Observation eeb27d68-36f8-4abf-85d4-7295d97088e6 · outbound

This paper cites Tomamichel, R.

Can scrambling protect quantum state distinguishability under noise? Tomamichel, R

Reference 64

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Observation 7699a738-40d6-48a0-b295-93cfc659b91f · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 65

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Observation 19e50b1d-6ab4-4fd4-bccb-c0108001d7dd · outbound

This paper cites Ledoux,The Concentration of Measure Phenomenon, Mathematical Surveys and Monographs, Vol.

Can scrambling protect quantum state distinguishability under noise? Ledoux,The Concentration of Measure Phenomenon, Mathematical Surveys and Monographs, Vol

Reference 66

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Observation ddab6381-935a-450c-afea-6dfaf4772318 · outbound

This paper cites Chen, Z.-C.

Can scrambling protect quantum state distinguishability under noise? Chen, Z.-C

Reference 67

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Observation 4d30dcdd-4477-4fbd-87b5-cd13a22dd985 · outbound

This paper cites Tomamichel, M.

Can scrambling protect quantum state distinguishability under noise? Tomamichel, M

Reference 68

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Observation 70ce655e-d27a-4255-bea1-45eacb3b6414 · outbound

This paper cites Fulton and J.

Can scrambling protect quantum state distinguishability under noise? Fulton and J

Reference 69

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Observation 52e21e6c-beb2-4fed-a5f1-b2b5fec7b436 · outbound

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Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 70

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 7c3b140c-9ca6-4d56-81d5-00522e8c1740 · outbound

This paper cites Dall’Arno, G.

Can scrambling protect quantum state distinguishability under noise? Dall’Arno, G

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation 9b787891-acc3-4462-aeed-cf95aaa94605 · outbound

This paper cites We denote the Hilbert space asH, the set of the states on HasD(H), the set of the general matrices onHasM(H).

Can scrambling protect quantum state distinguishability under noise? We denote the Hilbert space asH, the set of the states on HasD(H), the set of the general matrices onHasM(H)

Reference 72

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 34dd197e-813a-4b06-bfd4-2825117e4b55 · outbound

This paper cites The twirling operation is defined over an ensemble of quantum unitary operations,S.

Can scrambling protect quantum state distinguishability under noise? The twirling operation is defined over an ensemble of quantum unitary operations,S

Reference 73

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation 245ad77d-b9f9-45b4-9082-833c8f3eac54 · outbound

This paper cites We first present a more general theorem than that in the main text as follows.

Can scrambling protect quantum state distinguishability under noise? We first present a more general theorem than that in the main text as follows

Reference 74

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation 673530da-e1e5-48cd-8604-c2639d108ec6 · outbound

This paper cites That is,S i ={p i, ψi}={p(U), U∣0n⟩⟨0n∣U†}whereU={p(U), U}is a unitary 2-design.

Can scrambling protect quantum state distinguishability under noise? That is,S i ={p i, ψi}={p(U), U∣0n⟩⟨0n∣U†}whereU={p(U), U}is a unitary 2-design

Reference 75

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation ef0fb756-6031-4337-b5f7-4c8085574924 · outbound

This paper cites One can view the sending stateρ x =N(ψ x)as the original noiseless stateψ x passing through the noise channelN.

Can scrambling protect quantum state distinguishability under noise? One can view the sending stateρ x =N(ψ x)as the original noiseless stateψ x passing through the noise channelN

Reference 76

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 96ee3bb8-57aa-49e9-917d-c37226679032 · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 77

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 4ad1dd7f-1e0f-4afc-af3b-4b3a41c51f62 · outbound

This paper cites Recall that the probability of Bob getting outcomeygiven Alice sentxisP(y∣x)=tr(F yN(ρ x)).

Can scrambling protect quantum state distinguishability under noise? Recall that the probability of Bob getting outcomeygiven Alice sentxisP(y∣x)=tr(F yN(ρ x))

Reference 78

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation bb5940d4-827a-4fcf-abf2-0e55ecb3fb42 · outbound

This paper cites She prepares ann-qubit stateρ X to encodeX, and she sendsNcopies ofρ X to Bob.

Can scrambling protect quantum state distinguishability under noise? She prepares ann-qubit stateρ X to encodeX, and she sendsNcopies ofρ X to Bob

Reference 79

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 98bb7e8d-e8f0-44d3-986c-9466193922d6 · outbound

This paper cites The elements satisfyF y ≥0,F † y =F y, and ∑y Fy =I.

Can scrambling protect quantum state distinguishability under noise? The elements satisfyF y ≥0,F † y =F y, and ∑y Fy =I

Reference 80

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation 80fac5bb-b4d0-4266-9e3b-039cae3867ff · outbound

This paper cites The functionf i should satisfy that one can get the result off i(ρX)with the measurement result ofU ρ X U † and the knowledge ofUfor any unitary operation U.

Can scrambling protect quantum state distinguishability under noise? The functionf i should satisfy that one can get the result off i(ρX)with the measurement result ofU ρ X U † and the knowledge ofUfor any unitary operation U

Reference 81

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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Observation 94be8ed3-9182-4c66-9fc7-e5d74e62f21d · outbound

This paper cites universal.

Can scrambling protect quantum state distinguishability under noise? universal

Reference 82

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00315a88-d39f-410e-a74c-176ca75c7886 · outbound

This paper cites She prepares ann-qubit stateρ X to encodeX, and she sendsNcopies ofρ X to Bob.

Can scrambling protect quantum state distinguishability under noise? She prepares ann-qubit stateρ X to encodeX, and she sendsNcopies ofρ X to Bob

Reference 83

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation c0ab0082-c041-4629-86ac-dfda198449df · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 84

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 004063fc-afa4-4f88-8473-c4566d23a1f4 · outbound

This paper cites The elements satisfyF y ≥0,F † y =F y, and ∑y Fy =I.

Can scrambling protect quantum state distinguishability under noise? The elements satisfyF y ≥0,F † y =F y, and ∑y Fy =I

Reference 85

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

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Observation afb3b6e1-c21c-4597-8677-37878440e702 · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 86

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f73a802-5fc5-4827-9ad7-e133b2c3f4be · outbound

This paper cites an unresolved cited work.

Can scrambling protect quantum state distinguishability under noise? Unresolved cited work

Reference 87

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a90c863-836f-4c78-8701-43fecfc5e927 · outbound

This paper cites In this modified communication protocol, we have that •The state received by Bob becomesρ X,U =U ρ X U †.

Can scrambling protect quantum state distinguishability under noise? In this modified communication protocol, we have that •The state received by Bob becomesρ X,U =U ρ X U †

Reference 88

Resolution: unresolved; no resolver link, observed 2026-06-28T14:30:24.244677Z

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