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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation

As of 23 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 0 inbound Pith citation observations for arXiv:2607.18732.

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pith.paper-citation-record.v1
2607.18732 v1

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measured 90 of 90 reference resolution

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90 of 90 outbound references displayed

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Outbound references

Observation b66cfd24-8b67-43e1-925b-457662f1515a · outbound

This paper cites Let the measurement be performed in the computational basis.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Let the measurement be performed in the computational basis

Reference 1

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Observation c22cd827-84b7-4a76-9d94-b7f1627f8b31 · outbound

This paper cites Thus, in this sense, the ran- domness is purely generated by the quantumness of the state and isclassically irreducible.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Thus, in this sense, the ran- domness is purely generated by the quantumness of the state and isclassically irreducible

Reference 2

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Observation a5f9ceca-201d-4857-a759-03fac7848fbb · outbound

This paper cites This state can be decomposed as ρ= 1 2 |ψ+⟩ ⟨ψ+|+ 1 2 |ψ−⟩ ⟨ψ−|, where|ψ ±⟩= √ 3 2 |0⟩+ 1 2 e±iarctan √ 2 |1⟩.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation This state can be decomposed as ρ= 1 2 |ψ+⟩ ⟨ψ+|+ 1 2 |ψ−⟩ ⟨ψ−|, where|ψ ±⟩= √ 3 2 |0⟩+ 1 2 e±iarctan √ 2 |1⟩

Reference 3

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Observation 1fb5800c-4fcb-4e88-8ded-437a96e392d1 · outbound

This paper cites Bohr,The quantum postulate and the recent development of atomic theory,Nature121(1928) 580.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Bohr,The quantum postulate and the recent development of atomic theory,Nature121(1928) 580

Reference 4

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Observation 7de57db0-a66f-4ebe-a402-9edfe0196828 · outbound

This paper cites Wootters and W.H.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Wootters and W.H

Reference 5

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Observation 39d1f7cf-4dd4-440e-a0d4-4926648b0fd4 · outbound

This paper cites Greenberger and A.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Greenberger and A

Reference 6

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Observation d9b97385-7bad-4c21-a77f-a41152b1e76d · outbound

This paper cites Englert,Fringe visibility and which-way information: An inequality,Physical Review Letters77 (1996) 2154.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Englert,Fringe visibility and which-way information: An inequality,Physical Review Letters77 (1996) 2154

Reference 7

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Observation d2bec1db-04ba-42e5-ace7-e5901ea18fe9 · outbound

This paper cites Loss-based Experimental Test of Bohr's Complementarity Principle with Single Neutral Atom.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Loss-based Experimental Test of Bohr's Complementarity Principle with Single Neutral Atom

Reference 8

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Observation 87ead733-e703-4c05-9cc1-729f414f4ba1 · outbound

This paper cites Norrman, K.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Norrman, K

Reference 9

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Observation b7c4b1e0-9821-42f0-b258-6cace98182de · outbound

This paper cites Experimental demonstration of wave-particle duality relation based on coherence measure.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Experimental demonstration of wave-particle duality relation based on coherence measure

Reference 10

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Observation 72713adb-1dfb-4623-9f34-3ecbcea489f7 · outbound

This paper cites Experimental Test of Relation between Coherence and Path Information.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Experimental Test of Relation between Coherence and Path Information

Reference 11

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Observation bff25322-fea0-4797-9049-b81e81e122c3 · outbound

This paper cites Quantitative Complementarity of Wave-Particle Duality.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Quantitative Complementarity of Wave-Particle Duality

Reference 12

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Observation c0988a30-4bea-46b3-b3a2-c90885e45e00 · outbound

This paper cites Experimental investigation of wave-particle duality relations in asymmetric beam interference.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Experimental investigation of wave-particle duality relations in asymmetric beam interference

Reference 13

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Observation 2d77dc54-13e9-4ae2-828f-b2f8bd43c84b · outbound

This paper cites Entanglement-interference complementarity and experimental demonstration in a superconducting circuit.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Entanglement-interference complementarity and experimental demonstration in a superconducting circuit

Reference 14

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

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Observation 189869ce-b15a-4073-8230-3b682803daa5 · outbound

This paper cites Simple security proof of quantum key distribution via uncertainty principle.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Simple security proof of quantum key distribution via uncertainty principle

Reference 16

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Observation 78d2a429-3e39-42db-81fe-374604a918c3 · outbound

This paper cites Information-theoretic security proof of differential-phase-shift quantum key distribution protocol based on complementarity.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Information-theoretic security proof of differential-phase-shift quantum key distribution protocol based on complementarity

Reference 17

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Observation c78fa6b8-f137-4fa2-9128-460bbe876580 · outbound

This paper cites Simple security proof of coherent-one-way quantum key distribution.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Simple security proof of coherent-one-way quantum key distribution

Reference 18

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Observation a236b771-d6d8-4036-875e-3b700ae81204 · outbound

This paper cites Experimental demonstration of the equivalence of entropic uncertainty with wave-particle duality.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Experimental demonstration of the equivalence of entropic uncertainty with wave-particle duality

Reference 19

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This paper cites Certifying semi-device-independent security via wave-particle duality experiments.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Certifying semi-device-independent security via wave-particle duality experiments

Reference 20

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Observation d626086d-39b4-49a8-b161-add6b535aa27 · outbound

This paper cites Infrared Spectroscopy with Visible Light.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Infrared Spectroscopy with Visible Light

Reference 21

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This paper cites Tunable Optical Coherence Tomography in the Infrared Range Using Visible Photons.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Tunable Optical Coherence Tomography in the Infrared Range Using Visible Photons

Reference 22

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Observation 1dee47ee-c96b-479b-8cba-661ecee0a619 · outbound

This paper cites Kutas, B.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Kutas, B

Reference 23

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This paper cites Kviatkovsky, H.M.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Kviatkovsky, H.M

Reference 24

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This paper cites Loss compensated and enhanced mid-infrared interaction-free sensing with undetected photons.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Loss compensated and enhanced mid-infrared interaction-free sensing with undetected photons

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Quantum Mechanics as Quantum Measure Theory

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Ruling Out Multi-Order Interference in Quantum Mechanics

Reference 27

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Qureshi and M.A

Reference 28

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Roy and T

Reference 29

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Qureshi,Interference visibility and wave-particle duality in multi-path interference,Physical Review A 100(2019) 042105

Reference 30

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Giordani, F

Reference 31

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Streltsov, G

Reference 32

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

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This paper cites Entropic framework for wave-particle duality in multipath interferometers.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Entropic framework for wave-particle duality in multipath interferometers

Reference 34

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Bagan, J.A

Reference 35

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality

Reference 37

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Observation 88849841-cf81-474a-b195-667744de6bef · outbound

This paper cites Yang, Z.-X.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Yang, Z.-X

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This paper cites Jakob and J.A.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Jakob and J.A

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Observation e80d9547-9642-4568-948f-2beeaa891459 · outbound

This paper cites Qian, A.N.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Qian, A.N

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Observation 16700ed6-8e1f-4f4b-af74-86fc4714b7d3 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 41

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Observation d646f9b2-bf47-44b3-9d8f-ccfa15a4b4c4 · outbound

This paper cites Basso and J.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Basso and J

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Observation c4126cf1-1963-4034-b610-99032b0ae5cb · outbound

This paper cites Maziero, M.L.W.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Maziero, M.L.W

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Observation 9feb08d9-c0c6-40c6-96d5-41acb868f5db · outbound

This paper cites Bagan, J.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Bagan, J

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Observation 241bebb7-dbb6-404a-aff8-2dab6bfb3433 · outbound

This paper cites Source-independent quantum random number generation.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Source-independent quantum random number generation

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source=pdf_text observed=2026-08-01T14:40:37.916929Z digest=sha256:2d8fae565982636370b9109aa04b93db032a4c2df7bf84abc8922e4a1291f91a

Observation 2e797f62-365b-44ab-bd5b-8902ef2aaf01 · outbound

This paper cites Coherence as a resource for source-independent quantum random-number generation.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Coherence as a resource for source-independent quantum random-number generation

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Observation 08721d00-6b0c-417d-b63c-578502e1c03f · outbound

This paper cites Budiyono and H.K.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Budiyono and H.K

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Observation 4ecc2f50-5ec9-4df1-ae41-1280690c2491 · outbound

This paper cites Budiyono, J.F.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Budiyono, J.F

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Observation fdf76e66-56da-43e1-b411-58ccd9ef4400 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 49

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source=pdf_text observed=2026-08-01T14:40:38.437321Z digest=sha256:55b7387f31d5ba3777ffb19b8a8b554592bc8b697190d88cf8f225df917e31ab

Observation 5e31c642-720f-45cf-bffd-a4c5fc293bcf · outbound

This paper cites Basso and J.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Basso and J

Reference 50

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source=pdf_text observed=2026-08-01T14:40:38.589198Z digest=sha256:7ec47a4eff48e0aee54d0e15d6cfee020d812a95e77651f931f80b65d24bd2a6

Observation d4d771a5-6f14-4209-ae7a-e33ab71d673a · outbound

This paper cites Bhattacharyya,On a measure of divergence between two statistical populations defined by probability distributions,Bulletin of the Calcutta Mathematical Society35(1943) 99.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Bhattacharyya,On a measure of divergence between two statistical populations defined by probability distributions,Bulletin of the Calcutta Mathematical Society35(1943) 99

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Observation 8e133caf-f990-41e3-a4c4-ea3dd6730d82 · outbound

This paper cites Fuchs and J.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Fuchs and J

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Observation 5e21021e-f2e5-4a15-8212-468b9d5e4624 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 53

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Observation cfa08bd1-8c7e-473b-9eb3-cebd26476d79 · outbound

This paper cites Markham, J.A.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Markham, J.A

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Observation 78cc0528-5726-4052-9e5c-70034b0f49b9 · outbound

This paper cites Pucha la, L.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Pucha la, L

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Observation d07d3e26-0d7e-4d3d-80aa-087d63360426 · outbound

This paper cites D¨ urr,Quantitative wave–particle duality in multibeam interferometers,Physical Review A64(2001) 042113.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation D¨ urr,Quantitative wave–particle duality in multibeam interferometers,Physical Review A64(2001) 042113

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Observation 0cfaab0f-7a2e-40bb-8781-6b143bbdfe76 · outbound

This paper cites Englert, D.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Englert, D

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Observation b01cc61d-b915-44ac-a6dd-f19341b85703 · outbound

This paper cites Baumgratz, M.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Baumgratz, M

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Observation 342f19d7-56c0-43b7-9594-974926b391cf · outbound

This paper cites Operational Resource Theory of Coherence.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Operational Resource Theory of Coherence

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Observation 844da073-3e37-439c-b4bb-fcbaf22dcf83 · outbound

This paper cites Fidelity based purity and coherence for quantum states.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Fidelity based purity and coherence for quantum states

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Observation fbe790bb-98be-4ceb-81a0-11187f170832 · outbound

This paper cites L¨ u,Geometric coherence and path distinguishability, New Journal of Physics27(2025) 094511.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation L¨ u,Geometric coherence and path distinguishability, New Journal of Physics27(2025) 094511

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Observation c7369931-b5ba-45f0-81ce-954b4a57c193 · outbound

This paper cites A new coherence measure based on fidelity.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation A new coherence measure based on fidelity

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Observation cc619b68-3ee3-47b7-b779-f01b960da40a · outbound

This paper cites Uhlmann,Roofs and convexity,Entropy12(2010) 1799.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Uhlmann,Roofs and convexity,Entropy12(2010) 1799

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Observation 3f055301-4e73-4e25-b098-d2b786d53761 · outbound

This paper cites Gour,Resources of the quantum world, 2024.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Gour,Resources of the quantum world, 2024

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Observation 87008174-3afd-4452-866b-fba2bd8e3eb8 · outbound

This paper cites Carmeli, T.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Carmeli, T

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Observation be82ccd3-be50-4c5a-9492-6f13e97f5823 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 66

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Observation b702f504-e901-4e6e-8a8f-877bf9193157 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

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Observation 5950aa17-bbec-45e9-9b76-701713aca922 · outbound

This paper cites Rarity, P.C.M.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Rarity, P.C.M

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Observation b084c4a1-7e3a-4bf4-ac27-32a8938a2bd9 · outbound

This paper cites Stefanov, N.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Stefanov, N

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Observation 734f696a-3f91-4013-ab2d-3f8aa5ad6bfd · outbound

This paper cites Jennewein, U.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Jennewein, U

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Observation f24880fc-ec0d-4040-9957-2c3b8bf25c6a · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 71

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Observation 161d90af-2de9-46ff-b7f1-fa76113f9607 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 72

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source=pdf_text observed=2026-08-01T14:40:39.781871Z digest=sha256:5578d70aed02c6665fc48c1ec769df0350a4d50b2a90020c110f588affb3ee2c

Observation f952c0b8-5434-4653-bc32-fd87e9b9614b · outbound

This paper cites Source-device-independent Ultra-fast Quantum Random Number Generation.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Source-device-independent Ultra-fast Quantum Random Number Generation

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source=pdf_text observed=2026-08-01T14:40:39.785294Z digest=sha256:7c22d3e1b5600e3f35b3e949b5478d7294edeea67b1ea876501e747830da6f48

Observation 0dc10a08-3d7d-4600-9180-6d7d8d7c6ab8 · outbound

This paper cites Secure heterodyne-based quantum random number generator at 17 Gbps.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Secure heterodyne-based quantum random number generator at 17 Gbps

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source=pdf_text observed=2026-08-01T14:40:39.788819Z digest=sha256:afefa8f0571a1315245bb7e95b6497c7408c73a375986cd97c390e0bb4b52e5a

Observation be4f256b-5a63-4f50-b19a-0dff3f1b4293 · outbound

This paper cites Real-Time Source Independent Quantum Random Number Generator with Squeezed States.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Real-Time Source Independent Quantum Random Number Generator with Squeezed States

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Observation b314edc8-9019-4c44-9b57-671b6b368c36 · outbound

This paper cites Massey,Guessing and entropy, inProc.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Massey,Guessing and entropy, inProc

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Observation 4c989150-9e1b-4459-8b96-2eae46bfede4 · outbound

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Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 77

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Observation fb9ee11e-5995-4e71-bca8-52b433d2ac83 · outbound

This paper cites Rioul,Variations on a theme by massey,IEEE Transactions on Information Theory68(2022) 2813.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Rioul,Variations on a theme by massey,IEEE Transactions on Information Theory68(2022) 2813

Reference 78

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source=pdf_text observed=2026-08-01T14:40:39.803238Z digest=sha256:d48f858aaa67bb892c479c3f309c4fe5a0c0d17f451b96ad0df3ee5b5a90e28b

Observation 0c9709e4-9863-44a7-b42a-68d97123dcf0 · outbound

This paper cites Herrero-Collantes and J.C.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Herrero-Collantes and J.C

Reference 80

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source=pdf_text observed=2026-08-01T14:40:39.811088Z digest=sha256:8a6c468bc80c902341243fa9b72a2e0ce7a99e7c8772963961192becbe4c9427

Observation f51d589d-36fc-4916-a799-bfd3b4c4cb91 · outbound

This paper cites Turan, E.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Turan, E

Reference 81

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source=pdf_text observed=2026-08-01T14:40:39.814394Z digest=sha256:f0d51d28d6a1bbe80339741711762f730dd6fda569c68479e79246c5ed41edc2

Observation cdc9fedf-4655-4aca-8626-71c66f1b4510 · outbound

This paper cites The operational meaning of min- and max-entropy.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation The operational meaning of min- and max-entropy

Reference 82

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source=pdf_text observed=2026-08-01T14:40:39.817561Z digest=sha256:2e51d1d6a64f48659cc7f296032e1daca1cf3871d538789d0aae06aed3dafbbf

Observation 8de2df0c-3901-4bf5-a2c0-57bb5fd97346 · outbound

This paper cites Fundamental Finite Key Limits for One-Way Information Reconciliation in Quantum Key Distribution.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Fundamental Finite Key Limits for One-Way Information Reconciliation in Quantum Key Distribution

Reference 83

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source=pdf_text observed=2026-08-01T14:40:39.820947Z digest=sha256:3aa27365efff9e317840b83c555fa8ad4f64cdbd0a3e1a2d006ca64948aa55de

Observation 8d78cf59-bc03-44f4-9728-fde4b97c7ee5 · outbound

This paper cites Nielsen and I.L.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Nielsen and I.L

Reference 84

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source=pdf_text observed=2026-08-01T14:40:39.824874Z digest=sha256:56cd23ec224f9bd4a9badd2f5217108dbc726ca8533993f05586839c137b9d6c

Observation e0b9898a-b11c-4abc-a22e-c068eeab65c2 · outbound

This paper cites We provide the proof that the convex–roof construction guarantees the convexity of the coherence by its nature.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation We provide the proof that the convex–roof construction guarantees the convexity of the coherence by its nature

Reference 85

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source=pdf_text observed=2026-08-01T14:40:39.828497Z digest=sha256:c129c43aa1c6e422228b7fb3d191a4a5442c72ba8e96d7f79d9d8e2094f298f5

Observation aede3733-08c0-47c5-ada8-80c85a726cde · outbound

This paper cites Finding the maximum value is straightforward since the set consists of pure states, thus we just need to apply the formula for pure states in eq.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Finding the maximum value is straightforward since the set consists of pure states, thus we just need to apply the formula for pure states in eq

Reference 86

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source=pdf_text observed=2026-08-01T14:40:39.832517Z digest=sha256:81d47103847686fef455127388e12a39952bcd82e8fe3a78b8d0d8b8a457881c

Observation 63942057-397b-487b-a998-dcf53013fe9b · outbound

This paper cites Proof.We consider the coherence of a state after undergoing a decoherence operation.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Proof.We consider the coherence of a state after undergoing a decoherence operation

Reference 87

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source=pdf_text observed=2026-08-01T14:40:39.836533Z digest=sha256:6b3f971de7ac01196131d633a1610f1f1d792fde9b0344e930f036acd9f54c4e

Observation 61c6348f-a2d3-4598-86d6-90565906b210 · outbound

This paper cites an unresolved cited work.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 88

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source=pdf_text observed=2026-08-01T14:40:39.840570Z digest=sha256:df4d0c6e1cda216f111e5a37e6f371c671e7b8c2db4cd2faaa10f7667a9d84df

Observation bf4cc337-4137-44f9-a737-96522767dc53 · outbound

This paper cites an unresolved cited work.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Unresolved cited work

Reference 89

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source=pdf_text observed=2026-08-01T14:40:39.844922Z digest=sha256:3c4f56ec22f6f6225ce0168f6641cac517e249b08fb1048f7ccad3730a990b93

Observation a31fec0f-d861-4299-903a-b320e651d3a8 · outbound

This paper cites Proof.SinceUcommutes withA, we can write the unitary operation as U|a⟩=e iθa |a⟩,(50) whereθ a ∈R.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation Proof.SinceUcommutes withA, we can write the unitary operation as U|a⟩=e iθa |a⟩,(50) whereθ a ∈R

Reference 90

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Observation 1b825ab6-4752-48f9-887e-56799c25811b · outbound

This paper cites s+ p (d−s 2)(d−1) d #2 , (77) where we have used the fact that 1/d≤s/d≤1/ √ d≤ √pmax ≤1 for the eighth line. Now define a function for the LHS of the equationQ d(s), Qd(s) :=.

Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation s+ p (d−s 2)(d−1) d #2 , (77) where we have used the fact that 1/d≤s/d≤1/ √ d≤ √pmax ≤1 for the eighth line. Now define a function for the LHS of the equationQ d(s), Qd(s) :=

Reference 91

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source=pdf_text observed=2026-08-01T14:40:39.852606Z digest=sha256:ebd64e8f6561a87cf26fa7941c3695f5d0a3990084f5a029dac5637b5f63b8e3

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