Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation | Paper Citation Record

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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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

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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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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

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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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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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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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Observation 41079f89-f8a5-4b31-8867-d0c14cbb747d · outbound

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

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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

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Observation 5ab63949-9f53-43ff-a0ab-c728996bc444 · outbound

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

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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

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Observation 719f072d-3437-430b-92e9-b8d6abca017d · outbound

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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Observation 89fc6a56-2962-4bee-9611-98ad1f819713 · outbound

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

Reference 25

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Observation 73fb3b49-7598-4226-833c-04e230951d88 · outbound

This paper cites Quantum Mechanics as Quantum Measure Theory.

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

Reference 26

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Observation d812177a-9909-43d9-925c-4efdfcc6272b · outbound

This paper cites Ruling Out Multi-Order Interference in Quantum Mechanics.

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

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Observation 91159eeb-38de-40a0-9399-2f5886ddea6d · outbound

This paper cites Qureshi and M.A.

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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Observation 603be0f1-f849-4481-8dec-b7fde5bd76e3 · outbound

This paper cites Roy and T.

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

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Observation c9f723ec-e364-45aa-9894-bc65ed69c673 · outbound

This paper cites Qureshi,Interference visibility and wave-particle duality in multi-path interference,Physical Review A 100(2019) 042105.

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

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Observation 08abf786-206a-45fd-a755-9ec9426f53a0 · outbound

This paper cites Giordani, F.

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

Reference 31

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Observation 0c60c6aa-8d84-4dc5-9ae9-e07c22c04592 · outbound

This paper cites Streltsov, G.

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

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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 19d1d370-8244-4918-bf0c-1381323ad083 · outbound

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

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This paper cites Bagan, J.A.

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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Observation 7f71e965-b823-4ec0-bb76-9291181b71d2 · outbound

This paper cites Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality.

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

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

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

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

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

Reference 42

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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

Reference 44

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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

Reference 45

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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

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

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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

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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

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

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

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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

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

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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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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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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

Reference 65

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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

Reference 67

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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

Reference 69

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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

Reference 70

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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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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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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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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

Reference 76

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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

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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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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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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

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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

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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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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

Resolution: unresolved; no resolver link, observed 2026-08-01T14:40:39.828497Z

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

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

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-01T14:40:39.840570Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-01T14:40:39.844922Z

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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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