ماچ زینڈر انٹرفیرومیٹر میں ہم آہنگی اور سیاق و سباق

ماچ زینڈر انٹرفیرومیٹر میں ہم آہنگی اور سیاق و سباق

رافیل ویگنر۔1,2, Anita Camillini1,2، اور Ernesto F. Galvão1,3

1انٹرنیشنل ایبیرین نینو ٹیکنالوجی لیبارٹری (INL)، Av. Mestre José Veiga، 4715-330 Braga، پرتگال
2Centro de Física, Universidade do Minho, Braga 4710-057, Portugal
3Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Niterói, RJ, 24210-340, Brazil

اس کاغذ کو دلچسپ لگتا ہے یا اس پر بات کرنا چاہتے ہیں؟ SciRate پر تبصرہ کریں یا چھوڑیں۔.

خلاصہ

We analyse nonclassical resources in interference phenomena using generalized noncontextuality inequalities and basis-independent coherence witnesses. We use recently proposed inequalities that witness both resources within the same framework. We also propose, in view of previous contextual advantage results, a systematic way of applying these tools to characterize advantage provided by coherence and contextuality in quantum information protocols. We instantiate this methodology for the task of quantum interrogation, famously introduced by the paradigmatic bomb-testing interferometric experiment, showing contextual quantum advantage for such a task.

In this paper, we explore nonclassical resources in interference phenomena by analyzing generalized noncontextuality inequalities and basis-independent coherence witnesses. We apply recently proposed inequalities to characterize coherence and contextuality in quantum information protocols, focusing on Mach-Zehnder interferometers (MZIs). Our study reveals that basis-independent quantum coherence within MZIs can be witnessed and quantified using coherence-free inequalities, providing experimentally accessible methods for assessing coherence. Using novel techniques, we show a quantifiable advantage provided by quantum contextuality to the task of quantum interrogation. Our contributions range from novel inequalities, analytical results, and proposed experimental protocols, shedding light on the relationship between coherence and contextuality in MZIs and offering a general approach for proving quantum advantages in interferometric experiments.

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ہے [1] Peter W. Shor. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM review, 41(2):303–332, (1999).
https://​/​doi.org/​10.1137/​S0036144598347011

ہے [2] S. Parker and Martin B. Plenio. Efficient factorization with a single pure qubit and $log N$ mixed qubits. Physical Review Letters, 85 (14):3049, Oct (2000).
https://​/​doi.org/​10.1103/​PhysRevLett.85.3049

ہے [3] Felix Ahnefeld, Thomas Theurer, Dario Egloff, Juan Mauricio Matera, and Martin B. Plenio. Coherence as a Resource for Shor’s Algorithm. Physical Review Letters, 129 (12):120501, Sep (2022).
https://​/​doi.org/​10.1103/​PhysRevLett.129.120501

ہے [4] Olaf Nairz, Markus Arndt, and Anton Zeilinger. Quantum interference experiments with large molecules. American Journal of Physics, 71 (4): 319–325, Apr (2003).
https://​doi.org/​10.1119/​1.1531580

ہے [5] Eric Chitambar and Gilad Gour. Quantum resource theories. Reviews of Modern Physics, 91 (2), Apr (2019).
https://​/​doi.org/​10.1103/​RevModPhys.91.025001

ہے [6] Niels Bohr. The Quantum Postulate and the Recent Development of Atomic Theory, Nature. 121: 580–590 Apr (1928).
https://​doi.org/​10.1038/​121580a0

ہے [7] William K. Wootters and Wojciech H. Zurek. Complementarity in the double-slit experiment: Quantum nonseparability and a quantitative statement of Bohr’s principle. Physical Review D, 19 (2): 473, Jan (1979).
https://​/​doi.org/​10.1103/​PhysRevD.19.473

ہے [8] Berthold-Georg Englert. Fringe visibility and which-way information: An inequality. Physical Review Letters, 77 (11): 2154, May (1996).
https://​/​doi.org/​10.1103/​PhysRevLett.77.2154

ہے [9] Shuming Cheng and Michael J.W. Hall. Complementarity relations for quantum coherence. Physical Review A, 92 (4): 042101, Aug (2015).
https://​/​doi.org/​10.1103/​PhysRevA.92.042101

ہے [10] Marcos L.W. Basso and Jonas Maziero. Complete complementarity relations: Connections with Einstein-Podolsky-Rosen realism and decoherence, and extension to mixed quantum states. EPL (Europhysics Letters), 135 (6): 60002, Nov (2021).
https:/​/​doi.org/​10.1209/​0295-5075/​ac1bc8

ہے [11] Avshalom C. Elitzur and Lev Vaidman. Quantum mechanical interaction-free measurements. Foundations of Physics, 23(7):987–997, Jul (1993).
https://​doi.org/​10.1007/​BF00736012

ہے [12] Lucien Hardy. On the existence of empty waves in quantum theory. Physics Letters A, 167 (1): 11–16, Jul (1992).
https:/​/​doi.org/​10.1016/​0375-9601(92)90618-V

ہے [13] Tillmann Baumgratz, Marcus Cramer, and Martin B. Plenio. Quantifying coherence. Physical Review Letters, 113 (14): 140401, Feb (2014).
https://​/​doi.org/​10.1103/​PhysRevLett.113.140401

ہے [14] Alexander Streltsov, Gerardo Adesso, and Martin B. Plenio. Colloquium: Quantum coherence as a resource. Reviews of Modern Physics, 89: 041003, Oct (2017).
https://​/​doi.org/​10.1103/​RevModPhys.89.041003

ہے [15] Diego SS Chrysosthemos, Marcos LW Basso, and Jonas Maziero. Quantum coherence versus interferometric visibility in a biased Mach–Zehnder interferometer. Quantum Information Processing 22 (68), Jan (2023).
https:/​/​doi.org/​10.1007/​s11128-022-03800-6

ہے [16] Sandeep Mishra, Anu Venugopalan, and Tabish Qureshi. Decoherence and visibility enhancement in multipath interference. Physical Review A, 100 (4): 042122, Jul (2019).
https://​/​doi.org/​10.1103/​PhysRevA.100.042122

ہے [17] Tabish Qureshi. Coherence, interference and visibility. Quanta, 8 (1): 24–35, Jun (2019).
https://​doi.org/​10.12743/​quanta.v8i1.87

ہے [18] Tanmoy Biswas, María García Díaz, and Andreas Winter. Interferometric visibility and coherence. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2203): 20170170, Jul (2017).
https://​doi.org/​10.1098/​rspa.2017.0170

ہے [19] Tania Paul and Tabish Qureshi. Measuring quantum coherence in multislit interference. Physical Review A, 95(4):042110, Feb (2017).
https://​/​doi.org/​10.1103/​PhysRevA.95.042110

ہے [20] Kang-Da Wu, Alexander Streltsov, Bartosz Regula, Guo-Yong Xiang, Chuan-Feng Li, and Guang-Can Guo. Experimental progress on quantum coherence: detection, quantification, and manipulation. Advanced Quantum Technologies, 4(9):2100040, Jul (2021).
https://​doi.org/​10.1002/​qute.202100040

ہے [21] Alexander Streltsov, Uttam Singh, Himadri Shekhar Dhar, Manabendra Nath Bera, and Gerardo Adesso. Measuring quantum coherence with entanglement. Physical Review Letters, 115 (2): 020403, Mar (2015).
https://​/​doi.org/​10.1103/​PhysRevLett.115.020403

ہے [22] Alexander Streltsov, Eric Chitambar, Swapan Rana, Manabendra N. Bera, Andreas Winter, and Maciej Lewenstein. Entanglement and coherence in quantum state merging. Physical Review Letters, 116 (24): 240405, Jun (2016).
https://​/​doi.org/​10.1103/​PhysRevLett.116.240405

ہے [23] Lu-Feng Qiao, Alexander Streltsov, Jun Gao, Swapan Rana, Ruo-Jing Ren, Zhi-Qiang Jiao, Cheng-Qiu Hu, Xiao-Yun Xu, Ci-Yu Wang, Hao Tang, et al. Entanglement activation from quantum coherence and superposition. Physical Review A, 98 (5): 052351, Nov (2018).
https://​/​doi.org/​10.1103/​PhysRevA.98.052351

ہے [24] Michele Masini, Thomas Theurer, and Martin B. Plenio. Coherence of operations and interferometry. Physical Review A, 103(4):042426, Apr (2021).
https://​/​doi.org/​10.1103/​PhysRevA.103.042426

ہے [25] Laura Ares and Alfredo Luis. Beam splitter as quantum coherence-maker. Physica Scripta, 98: 015101, Dec (2022).
https:/​/​doi.org/​10.1088/​1402-4896/​aca1e7

ہے [26] Artur K. Ekert, Carolina Moura Alves, Daniel K.L. Oi, Michał Horodecki, Paweł Horodecki, and Leong Chuan Kwek. Direct estimations of linear and nonlinear functionals of a quantum state. Physical Review Letters, 88 (21): 217901, May (2002).
https://​/​doi.org/​10.1103/​PhysRevLett.88.217901

ہے [27] Paweł Horodecki and Artur Ekert. Method for direct detection of quantum entanglement. Physical Review Letters, 89 (12): 127902, Aug (2002).
https://​/​doi.org/​10.1103/​PhysRevLett.89.127902

ہے [28] Michał Oszmaniec, Daniel J. Brod, and Ernesto F. Galvão. Measuring relational information between quantum states, and applications. New Journal of Physics, (in press) Jan (2024).
https:/​/​doi.org/​10.1088/​1367-2630/​ad1a27

ہے [29] Sébastien Designolle, Roope Uola, Kimmo Luoma, and Nicolas Brunner. Set coherence: basis-independent quantification of quantum coherence. Physical Review Letters, 126 (22): 220404, Jun (2021).
https://​/​doi.org/​10.1103/​PhysRevLett.126.220404

ہے [30] Reinhard F. Werner. Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. Physical Review A, 40 (8): 4277, Oct (1989).
https://​/​doi.org/​10.1103/​PhysRevA.40.4277

ہے [31] Robert W. Spekkens. Evidence for the epistemic view of quantum states: A toy theory. Physical Review A, 75 (3): 032110, Mar (2007).
https://​/​doi.org/​10.1103/​PhysRevA.75.032110

ہے [32] Lucien Hardy. Disentangling nonlocality and teleportation. arXiv preprint quant-ph/​9906123, Jun (1999).
https://​/​doi.org/​10.48550/​arXiv.quant-ph/​9906123
arXiv:quant-ph/9906123

ہے [33] Lorenzo Catani, Matthew Leifer, David Schmid, and Robert W. Spekkens. Why interference phenomena do not capture the essence of quantum theory. Quantum, 7: 1119, (2023).
https:/​/​doi.org/​10.22331/​q-2023-09-25-1119

ہے [34] Ernesto F. Galvão and Daniel J. Brod. Quantum and classical bounds for two-state overlaps. Physical Review A, 101: 062110, Jun (2020).
https://​/​doi.org/​10.1103/​PhysRevA.101.062110

ہے [35] Rafael Wagner, Rui Soares Barbosa, and Ernesto F. Galvão. Inequalities witnessing coherence, nonlocality, and contextuality. arXiv preprint arXiv:2209.02670, Sep (2022).
https://​doi.org/​10.48550/​arXiv.2209.02670
آر ایکس سی: 2209.02670

ہے [36] Matteo Lostaglio and Gabriel Senno. Contextual advantage for state-dependent cloning. Quantum, 4: 258, Apr (2020).
https:/​/​doi.org/​10.22331/​q-2020-04-27-258

ہے [37] Lev Vaidman. Interaction-free measurements. arXiv preprint quant-ph/​9610033, Oct (1996).
https://​/​doi.org/​10.48550/​arXiv.quant-ph/​9610033
arXiv:quant-ph/9610033

ہے [38] Paul Kwiat, Harald Weinfurter, Thomas Herzog, Anton Zeilinger, and Mark A. Kasevich. Interaction-free measurement. Physical Review Letters, 74: 4763, Jun (1995).
https://​/​doi.org/​10.1103/​PhysRevLett.74.4763

ہے [39] Paul G Kwiat, AG White, JR Mitchell, O Nairz, G Weihs, H Weinfurter, and A Zeilinger. High-efficiency quantum interrogation measurements via the quantum Zeno effect. Physical Review Letters, 83 (23): 4725, Dec (1999).
https://​/​doi.org/​10.1103/​PhysRevLett.83.4725

ہے [40] T. Rudolph. Better schemes for quantum interrogation in lossy experiments. Physical Review Letters, 85 (14): 2925, Oct (2000).
https://​/​doi.org/​10.1103/​PhysRevLett.85.2925

ہے [41] Costantino Budroni, Adán Cabello, Otfried Gühne, Matthias Kleinmann, and Jan-Åke Larsson. Kochen-Specker contextuality. Review of Modern Physics, 94: 045007, Dec (2021).
https://​/​doi.org/​10.1103/​RevModPhys.94.045007

ہے [42] Simon Kochen and Ernst Specker. The problem of hidden variables in quantum mechanics. J. Math. and Mech., 17: 59–87, (1967).
https:/​/​doi.org/​10.1007/​978-3-0348-9259-9_21

ہے [43] John S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1: 195–200, Nov (1964).
https:/​/​journals.aps.org/​ppf/​pdf/​10.1103/​PhysicsPhysiqueFizika.1.195

ہے [44] John S. Bell. On the problem of hidden variables in quantum mechanics. Reviews of Modern Physics, 38: 447–452, Jul (1966).
https://​/​doi.org/​10.1103/​RevModPhys.38.447

ہے [45] Ehtibar N Dzhafarov and Janne V Kujala. Contextuality-by-default 2.0: Systems with binary random variables. In International Symposium on Quantum Interaction, pages 16–32. Springer, Jan (2017).
https:/​/​doi.org/​10.1007/​978-3-319-52289-0_2

ہے [46] Janne V. Kujala and Ehtibar N. Dzhafarov. Contextuality and dichotomizations of random variables. Foundations of Physics, 52 (1): 1–25, Dec (2022).
https:/​/​doi.org/​10.1007/​s10701-021-00527-9

ہے [47] Janne V. Kujala and Ehtibar N. Dzhafarov. Measures of contextuality and non-contextuality. Philosophical Transactions of the Royal Society A, 377 (2157): 20190149, Sep (2019).
https://​doi.org/​10.1098/​rsta.2019.0149

ہے [48] Víctor H. Cervantes and Ehtibar N. Dzhafarov. Snow queen is evil and beautiful: Experimental evidence for probabilistic contextuality in human choices. hrefhttps:/​/​doi.org/​10.1037/​dec0000095 Decision, 5 (3): 193, (2018).
https:/​/​doi.org/​10.1037/​dec0000095

ہے [49] Robert W. Spekkens. Contextuality for preparations, transformations, and unsharp measurements. Physical Review A, 71: 052108, May (2005).
https://​/​doi.org/​10.1103/​PhysRevA.71.052108

ہے [50] David Schmid, Robert W. Spekkens, and Elie Wolfe. All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed set of operational equivalences. Physical Review A, 97 (6): 062103, Jun (2018).
https://​/​doi.org/​10.1103/​PhysRevA.97.062103

ہے [51] Anubhav Chaturvedi, Máté Farkas, and Victoria J. Wright. Characterising and bounding the set of quantum behaviours in contextuality scenarios. Quantum, 5: 484, Jun (2021).
https:/​/​doi.org/​10.22331/​q-2021-06-29-484

ہے [52] Armin Tavakoli, Emmanuel Zambrini Cruzeiro, Roope Uola, and Alastair A Abbott. Bounding and simulating contextual correlations in quantum theory. PRX Quantum, 2 (2): 020334, Jun (2021).
https://​/​doi.org/​10.1103/​PRXQuantum.2.020334

ہے [53] David Schmid and Robert W. Spekkens. Contextual advantage for state discrimination. Physical Review X, 8: 011015, Feb (2018).
https://​/​doi.org/​10.1103/​PhysRevX.8.011015

ہے [54] Ravi Kunjwal, Matteo Lostaglio, and Matthew F Pusey. Anomalous weak values and contextuality: robustness, tightness, and imaginary parts. Physical Review A, 100 (4): 042116, Oct (2019).
https://​/​doi.org/​10.1103/​PhysRevA.100.042116

ہے [55] David Schmid, John H. Selby, Elie Wolfe, Ravi Kunjwal, and Robert W. Spekkens. Characterization of noncontextuality in the framework of generalized probabilistic theories. PRX Quantum, 2 (1): 010331, Feb (2021).
https://​/​doi.org/​10.1103/​PRXQuantum.2.010331

ہے [56] Farid Shahandeh. Contextuality of general probabilistic theories. PRX Quantum, 2 (1): 010330, Feb (2021).
https://​/​doi.org/​10.1103/​PRXQuantum.2.010330

ہے [57] John H. Selby, David Schmid, Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens. Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality. Physical Review A, 107: 062203 Jun (2023).
https://​/​doi.org/​10.1103/​PhysRevA.107.062203

ہے [58] John H. Selby, Elie Wolfe, David Schmid, and Ana Belén Sainz. An open-source linear program for testing nonclassicality. arXiv preprint arXiv:2204.11905, Oct (2022).
https://​doi.org/​10.48550/​arXiv.2204.11905
آر ایکس سی: 2204.11905

ہے [59] Matthew S. Leifer. Is the quantum state real? An extended review of $psi$ ontology theorems. Quanta, 3 (1): 67–155, (2014).
https://​doi.org/​10.12743/​quanta.v3i1.22

ہے [60] Yeong-Cherng Liang, Robert W. Spekkens, and Howard M. Wiseman. Specker’s parable of the overprotective seer: A road to contextuality, nonlocality and complementarity. Physics Reports, 506 (1-2): 1–39, Sep (2011).
https://​/​doi.org/​10.1016/​j.physrep.2011.05.001

ہے [61] Matteo Lostaglio. Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response. Physical Review Letters, 125 (23): 230603, Dec (2020).
https://​/​doi.org/​10.1103/​PhysRevLett.125.230603

ہے [62] Ravi Kunjwal. Beyond the Cabello-Severini-Winter framework: Making sense of contextuality without sharpness of measurements. Quantum, 3: 184, Sep (2019).
https:/​/​doi.org/​10.22331/​q-2019-09-09-184

ہے [63] David Schmid, John H. Selby, Matthew F. Pusey, and Robert W. Spekkens. A structure theorem for generalized-noncontextual ontological models. arXiv preprint arXiv:2005.07161, May (2020).
https://​doi.org/​10.48550/​arXiv.2005.07161
آر ایکس سی: 2005.07161

ہے [64] Roberto D. Baldijão, Rafael Wagner, Cristhiano Duarte, Bárbara Amaral, and Marcelo Terra Cunha. Emergence of Noncontextuality under Quantum Darwinism. PRX Quantum, 2(3):030351, Sep (2021).
https://​/​doi.org/​10.1103/​PRXQuantum.2.030351

ہے [65] A. Einstein, B. Podolsky, and N. Rosen. Can quantum-mechanical description of reality be considered complete? Physical Review, 47 (10): 777–780, May (1935).
https://​/​doi.org/​10.1103/​PhysRev.47.777

ہے [66] M. Pusey, J. Barrett, and T. Rudolph. On the reality of the quantum state Nature Physics, 8(6):475–478, May (2012).
https://​doi.org/​10.1038/​nphys2309

ہے [67] Robert W. Spekkens. The ontological identity of empirical indiscernibles: Leibniz’s methodological principle and its significance in the work of Einstein. arXiv preprint arXiv:1909.04628, Aug (2019).
https://​doi.org/​10.48550/​arXiv.1909.04628
آر ایکس سی: 1909.04628

ہے [68] Michael D. Mazurek, Matthew F. Pusey, Ravi Kunjwal, Kevin J. Resch, and Robert W. Spekkens. An experimental test of noncontextuality without unphysical idealizations. Nature communications, 7 (1): 1–7, Jun (2016).
https://​doi.org/​10.1038/​ncomms11780

ہے [69] Michael D. Mazurek, Matthew F. Pusey, Kevin J. Resch, and Robert W. Spekkens. Experimentally bounding deviations from quantum theory in the landscape of generalized probabilistic theories. PRX Quantum, 2: 020302, Apr (2021).
https://​/​doi.org/​10.1103/​PRXQuantum.2.020302

ہے [70] Ravi Kunjwal. Contextuality beyond the Kochen-Specker theorem. arXiv preprint arXiv:1612.07250, Dec (2016).
https://​doi.org/​10.48550/​arXiv.1612.07250
آر ایکس سی: 1612.07250

ہے [71] M. S. Leifer and O. J. E. Maroney. Maximally epistemic interpretations of the quantum state and contextuality. Physical Review Letters, 110: 120401, Mar (2013).
https://​/​doi.org/​10.1103/​PhysRevLett.110.120401

ہے [72] Manik Banik, Some Sankar Bhattacharya, Sujit K. Choudhary, Amit Mukherjee, and Arup Roy. Ontological models, preparation contextuality and nonlocality. Foundations of Physics, 44 (11): 1230–1244, Oct (2014).
https:/​/​doi.org/​10.1007/​s10701-014-9839-4

ہے [73] Piers Lillystone, Joel J. Wallman, and Joseph Emerson. Contextuality and the single-qubit stabilizer subtheory. Physical Review Letters, 122 (14): 140405, Apr (2019).
https://​/​doi.org/​10.1103/​PhysRevLett.122.140405

ہے [74] Cristhiano Duarte and Bárbara Amaral. Resource theory of contextuality for arbitrary prepare-and-measure experiments. Journal of Mathematical Physics, 59(6):062202, Jun (2018).
https://​doi.org/​10.1063/​1.5018582

ہے [75] Rafael Wagner, Roberto D. Baldijão, Alisson Tezzin, and Bárbara Amaral. Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios. Journal of Physics A: Mathematical and Theoretical, 56: 505303, Nov (2023).
https:/​/​doi.org/​10.1088/​1751-8121/​ad0bcc

ہے [76] Miguel Navascués, Stefano Pironio, and Antonio Acín. Bounding the set of quantum correlations. Physical Review Letters, 98(1):010401, Jul (2007).
https://​/​doi.org/​10.1103/​PhysRevLett.98.010401

ہے [77] George Boole. An Investigation on The Laws of Thought. Cambridge University Press, Nov (2009).
https://​doi.org/​10.1017/​CBO9780511693090

ہے [78] Mateus Araújo, Marco Túlio Quintino, Costantino Budroni, Marcelo Terra Cunha, and Adán Cabello. All noncontextuality inequalities for the $n$-cycle scenario. Physical Review A, 88: 022118, Aug (2013).
https://​/​doi.org/​10.1103/​PhysRevA.88.022118

ہے [79] Bárbara Amaral and Marcelo Terra Cunha. On graph approaches to contextuality and their role in quantum theory. Springer, Aug (2018).
https:/​/​doi.org/​10.1007/​978-3-319-93827-1

ہے [80] Adán Cabello, Simone Severini, and Andreas Winter. Graph-theoretic approach to quantum correlations. Physical Review Letters, 112 (4): 040401, Jan (2014).
https://​/​doi.org/​10.1103/​PhysRevLett.112.040401

ہے [81] Taira Giordani, Chiara Esposito, Francesco Hoch, Gonzalo Carvacho, Daniel J. Brod, Ernesto F. Galvão, Nicolò Spagnolo, and Fabio Sciarrino. Witnesses of coherence and dimension from multiphoton indistinguishability tests. Physical Review Research, 3: 023031, Apr (2021).
https://​/​doi.org/​10.1103/​PhysRevResearch.3.023031

ہے [82] Taira Giordani, Daniel J Brod, Chiara Esposito, Niko Viggianiello, Marco Romano, Fulvio Flamini, Gonzalo Carvacho, Nicolò Spagnolo, Ernesto F Galvão, and Fabio Sciarrino. Experimental quantification of four-photon indistinguishability. New Journal of Physics, 22 (4): 043001, Apr (2020).
https:/​/​doi.org/​10.1088/​1367-2630/​ab7a30

ہے [83] Samuraí Gomes de Aguiar Brito, Bárbara Amaral, and Rafael Chaves. Quantifying Bell nonlocality with the trace distance. Physical Review A, 97 (2): 022111, Feb (2018).
https://​/​doi.org/​10.1103/​PhysRevA.97.022111

ہے [84] Rodney Loudon. The quantum theory of light. OUP Oxford, (2000).

ہے [85] KP Zetie, SF Adams, and RM Tocknell. How does a Mach-Zehnder interferometer work? Physics Education, 35 (1): 46, Jan (2000).
https:/​/​doi.org/​10.1088/​0031-9120/​35/​1/​308

ہے [86] Markus Rambach, Mahdi Qaryan, Michael Kewming, Christopher Ferrie, Andrew G. White, and Jacquiline Romero. Robust and efficient high-dimensional quantum state tomography. Physical Review Letters, 126 (10): 100402, Mar (2021).
https://​/​doi.org/​10.1103/​PhysRevLett.126.100402

ہے [87] Sitan Chen, Brice Huang, Jerry Li, Allen Liu, and Mark Sellke. Tight bounds for state tomography with incoherent measurements. arXiv preprint arXiv:2206.05265, May (2022).
https://​doi.org/​10.48550/​arXiv.2206.05265
آر ایکس سی: 2206.05265

ہے [88] Da-Jian Zhang, C.L. Liu, Xiao-Dong Yu, and D.M. Tong. Estimating coherence measures from limited experimental data available. Physical Review Letters, 120 (17): 170501, Apr (2018).
https://​/​doi.org/​10.1103/​PhysRevLett.120.170501

ہے [89] Carmine Napoli, Thomas R Bromley, Marco Cianciaruso, Marco Piani, Nathaniel Johnston, and Gerardo Adesso. Robustness of coherence: an operational and observable measure of quantum coherence. Physical Review Letters, 116 (15): 150502, Apr (2016).
https://​/​doi.org/​10.1103/​PhysRevLett.116.150502

ہے [90] Yi-Tao Wang, Jian-Shun Tang, Zhi-Yuan Wei, Shang Yu, Zhi-Jin Ke, Xiao-Ye Xu, Chuan-Feng Li, and Guang-Can Guo. Directly measuring the degree of quantum coherence using interference fringes. Physical Review Letters, 118 (2): 020403, Jan (2017).
https://​/​doi.org/​10.1103/​PhysRevLett.118.020403

ہے [91] Wenqiang Zheng, Zhihao Ma, Hengyan Wang, Shao-Ming Fei, and Xinhua Peng. Experimental demonstration of observability and operability of robustness of coherence. Physical Review Letters, 120 (23): 230504, Jun (2018).
https://​/​doi.org/​10.1103/​PhysRevLett.120.230504

ہے [92] Caterina Taballione, Reinier van der Meer, Henk J Snijders, Peter Hooijschuur, Jörn P Epping, Michiel de Goede, Ben Kassenberg, Pim Venderbosch, Chris Toebes, Hans van den Vlekkert, Pepijn W H Pinkse and Jelmer J Renema A universal fully reconfigurable 12-mode quantum photonic processor. Materials for Quantum Technology, I 035002, Aug (2021).
https://​doi.org/​10.1088/​2633-4356/​ac168c

ہے [93] Peter Janotta and Raymond Lal. Generalized probabilistic theories without the no-restriction hypothesis. Physical Review A, 87 (5): 052131, May (2013).
https://​/​doi.org/​10.1103/​PhysRevA.87.052131

ہے [94] Markus P. Müller and Cozmin Ududec. Structure of reversible computation determines the self-duality of quantum theory. Physical Review Letters, 108 (13): 130401, Mar (2012).
https://​/​doi.org/​10.1103/​PhysRevLett.108.130401

ہے [95] Kieran Flatt, Hanwool Lee, Carles Roch I Carceller, Jonatan Bohr Brask, and Joonwoo Bae. Contextual advantages and certification for maximum-confidence discrimination. PRX Quantum, 3: 030337, Sep (2022).
https://​/​doi.org/​10.1103/​PRXQuantum.3.030337

ہے [96] Gilberto Borges, Marcos Carvalho, Pierre-Louis de Assis, José Ferraz, Mateus Araújo, Adán Cabello, Marcelo Terra Cunha, and Sebastião Pádua. Quantum contextuality in a Young-type interference experiment. Physical Review A, 89 (5): 052106, May (2014).
https://​/​doi.org/​10.1103/​PhysRevA.89.052106

ہے [97] B. H. Liu, Y. F. Huang, Y. X. Gong, F. W. Sun, Y. S. Zhang, C. F. Li, and G. C. Guo. Experimental demonstration of quantum contextuality with nonentangled photons. Physical Review A, 80 (4): 044101, Oct (2009).
https://​/​doi.org/​10.1103/​PhysRevA.80.044101

ہے [98] Carles Roch i Carceller, Kieran Flatt, Hanwool Lee, Joonwoo Bae, and Jonatan Bohr Brask. Quantum vs noncontextual semi-device-independent randomness certification. Physical Review Letters, 129 (5): 050501, Jul (2022).
https://​/​doi.org/​10.1103/​PhysRevLett.129.050501

ہے [99] Sumit Mukherjee, Shivam Naonit, and A. K. Pan. Discriminating three mirror-symmetric states with a restricted contextual advantage. Physical Review A, 106: 012216, Jul (2022).
https://​/​doi.org/​10.1103/​PhysRevA.106.012216

کی طرف سے حوالہ دیا گیا

[1] Vinicius P. Rossi، David Schmid، John H. Selby، اور Ana Belén Sainz، "معدوم ہونے والی ہم آہنگی اور زیادہ سے زیادہ مضبوطی کے ساتھ سیاق و سباق"، جسمانی جائزہ A 108 3, 032213 (2023).

Lorenzo Catani، Matthew Leifer، David Schmid، اور Robert W. Spekkens، "کیوں مداخلت کے مظاہر کوانٹم تھیوری کے جوہر پر قبضہ نہیں کرتے"، کوانٹم 7, 1119 (2023).

[3] Rafael Wagner, Zohar Schwartzman-Nowik, Ismael L. Paiva, Amit Te’eni, Antonio Ruiz-Molero, Rui Soares Barbosa, Eliahu Cohen, and Ernesto F. Galvão, “Quantum circuits for measuring weak values, Kirkwood-Dirac quasiprobability distributions, and state spectra”, کوانٹم سائنس اور ٹیکنالوجی 9 1, 015030 (2024).

Lorenzo Catani، Matthew Leifer، Giovanni Scala، David Schmid، اور Robert W. Spekkens، "مداخلت کے رجحانات کے پہلو جو حقیقی طور پر غیر کلاسیکی ہیں"، جسمانی جائزہ A 108 2, 022207 (2023).

[5] رافیل ویگنر، رابرٹو ڈی بالڈیجاو، ایلیسن ٹیزین، اور باربرا امرال، "تیار اور پیمائش کے منظرناموں کے لیے کوانٹم عمومی سیاق و سباق کو گواہ اور انجینئر کرنے کے لیے وسائل کے نظریاتی تناظر کا استعمال کرتے ہوئے"، جرنل آف فزکس ایک ریاضی کا جنرل 56 50, 505303 (2023).

[6] Rafael Wagner، Rui Soares Barbosa، اور Ernesto F. Galvão، "ہم آہنگی، غیر مقامیت، اور سیاق و سباق کی گواہی دینے والی عدم مساوات"، آر ایکس سی: 2209.02670, (2022).

[7] Massy Khoshbin, Lorenzo Catani, and Matthew Leifer, “Alternative robust ways of witnessing nonclassicality in the simplest scenario”, آر ایکس سی: 2311.13474, (2023).

[8] Taira Giordani, Rafael Wagner, Chiara Esposito, Anita Camillini, Francesco Hoch, Gonzalo Carvacho, Ciro Pentangelo, Francesco Ceccarelli, Simone Piacentini, Andrea Crespi, Nicolò Spagnolo, Roberto Osellame, Ernesto F. Galvão, and Fabio Sciarrino, “Experimental certification of contextuality, coherence, and dimension in a programmable universal photonic processor”, Science Advances 9 44, eadj4249 (2023).

[9] رافیل ویگنر اور ارنسٹو ایف گالوا، "اس بات کا سادہ ثبوت کہ غیر معمولی کمزور اقدار کو ہم آہنگی کی ضرورت ہوتی ہے"، جسمانی جائزہ A 108 4, L040202 (2023).

[10] ہولگر ایف ہوفمین، "تین راستے والے انٹرفیرومیٹر میں پانچ پیمائشی سیاق و سباق کے ذریعے ایک واحد فوٹون کا ترتیب وار پھیلاؤ"، آر ایکس سی: 2308.02086, (2023).

[11] مارکوس ایل ڈبلیو باسو، اسماعیل ایل پیوا، اور پیڈرو آر ڈیگیوز، "تعلقاتی منظرناموں میں کوانٹم تکمیلی تجارت کی نقاب کشائی"، آر ایکس سی: 2306.08136, (2023).

مذکورہ بالا اقتباسات سے ہیں۔ SAO/NASA ADS (آخری بار کامیابی کے ساتھ 2024-02-05 14:30:13)۔ فہرست نامکمل ہو سکتی ہے کیونکہ تمام ناشرین مناسب اور مکمل حوالہ ڈیٹا فراہم نہیں کرتے ہیں۔

نہیں لا سکا کراس ریف کا حوالہ دیا گیا ڈیٹا آخری کوشش کے دوران 2024-02-05 14:30:10: Crossref سے 10.22331/q-2024-02-05-1240 کے لیے حوالہ کردہ ڈیٹا حاصل نہیں کیا جا سکا۔ یہ عام بات ہے اگر DOI حال ہی میں رجسٹر کیا گیا ہو۔

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