Acta Optica Sinica, Volume. 42, Issue 3, 0327014(2022)

Performance of Collective Measurement to Estimate Quantum Coherence

Yuan Yuan1,2,3, Yueping Niu1, Shangqing Gong1, and Guoyong Xiang2,3、*
Author Affiliations
  • 1School of Physics, East China University of Science and Technology, Shanghai 200237, China
  • 2Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 3Synergetic Innovation Center of Quantum Information & Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China;
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    References(45)

    [1] Rahav S, Harbola U, Mukamel S. Heat fluctuations and coherences in a quantum heat engine[J]. Physical Review A, 86, 043843(2012).

    [2] Scully M O, Chapin K R, Dorfman K E et al. Quantum heat engine power can be increased by noise-induced coherence[J]. Proceedings of the National Academy of Sciences of the United States of America, 108, 15097-15100(2011).

    [3] Ding F, Ding Y Q, Han S et al. Coherence evolution in quantum thermodynamics[J]. Chinese Journal of Lasers, 48, 1212003(2021).

    [5] Matera J M, Egloff D, Killoran N et al. 1(1): 01LT01. Technology(2016).

    [6] Napoli C, Bromley T R, Cianciaruso M et al. Robustness of coherence: an operational and observable measure of quantum coherence[J]. Physical Review Letters, 116, 150502(2016).

    [7] Piani M, Cianciaruso M, Bromley T R et al. Robustness of asymmetry and coherence of quantum states[J]. Physical Review A, 93, 042107(2016).

    [8] Gisin N, Ribordy G, Tittel W et al. Quantum cryptography[J]. Reviews of Modern Physics, 74, 145(2002).

    [9] Giovannetti V, Lloyd S, Maccone L. Quantum-enhanced measurements: beating the standard quantum limit[J]. Science, 306, 1330-1336(2004).

    [10] Giovannetti V, Lloyd S, Maccone L. Advances in quantum metrology[J]. Nature Photonics, 5, 222-229(2011).

    [11] Giorda P, Allegra M. Coherence in quantum estimation[J]. Journal of Physics A: Mathematical and Theoretical, 51, 025302(2018).

    [12] Marvian I, Spekkens R W. How to quantify coherence: distinguishing speakable and unspeakable notions[J]. Physical Review A, 94, 052324(2016).

    [13] Gour G, Spekkens R W. The resource theory of quantum reference frames: manipulations and monotones[J]. New Journal of Physics, 10, 033023(2008).

    [14] Girolami D, Yadin B. Witnessing multipartite entanglement by detecting asymmetry[J]. Entropy, 19, 124(2017).

    [15] Tan K C, Kwon H, Park C Y et al. Unified view of quantum correlations and quantum coherence[J]. Physical Review A, 94, 022329(2016).

    [16] Ma J J, Yadin B, Girolami D et al. Converting coherence to quantum correlations[J]. Physical Review Letters, 116, 160407(2016).

    [17] Chitambar E, Streltsov A, Rana S et al. Assisted distillation of quantum coherence[J]. Physical Review Letters, 116, 070402(2016).

    [18] Streltsov A, Rana S, Bera M N et al. Towards resource theory of coherence in distributed scenarios[J]. Physical Review X, 7, 011024(2017).

    [19] Streltsov A, Chitambar E, Rana S et al. Entanglement and coherence in quantum state merging[J]. Physical Review Letters, 116, 240405(2016).

    [20] Gao D Y, Li N. Dynamics and conservation of quantum coherence in a two-body system[J]. Chinese Journal of Quantum Electronics, 38, 444-453(2021).

    [21] Wu K D, Hou Z B, Zhong H S et al. Experimentally obtaining maximal coherence via assisted distillation process[J]. Optica, 4, 454-459(2017).

    [22] Wu K D, Hou Z B, Zhao Y Y et al. Experimental cyclic interconversion between coherence and quantum correlations[J]. Physical Review Letters, 121, 050401(2018).

    [23] Wu K D, Theurer T, Xiang G Y et al. Quantum coherence and state conversion: theory and experiment[J]. Npj Quantum Information, 6, 22(2020).

    [24] Streltsov A, Adesso G, Plenio M B. Colloquium: quantum coherence as a resource[J]. Reviews of Modern Physics, 89, 041003(2017).

    [25] Plenio M B, Huelga S F. Dephasing-assisted transport: quantum networks and biomolecules[J]. New Journal of Physics, 10, 113019(2008).

    [26] Lambert N, Chen Y N, Cheng Y C et al. Quantum biology[J]. Nature Physics, 9, 10-18(2013).

    [27] Romero E, Augulis R, Novoderezhkin V I et al. Quantum coherence in photosynthesis for efficient solar-energy conversion[J]. Nature Physics, 10, 676-682(2014).

    [28] Karlström O, Linke H, Karlström G et al. Increasing thermoelectric performance using coherent transport[J]. Physical Review B, 84, 113415(2011).

    [29] Herranen M, Kainulainen K, Rahkila P M. Kinetic transport theory with quantum coherence[J]. Nuclear Physics A, 820, 203C-206C(2009).

    [30] Rebentrost P, Mohseni M, Aspuru-Guzik A. Role of quantum coherence and environmental fluctuations in chromophoric energy transport[J]. The Journal of Physical Chemistry. B, 113, 9942-9947(2009).

    [31] Bera M N, Qureshi T, Siddiqui M A et al. Duality of quantum coherence and path distinguishability[J]. Physical Review A, 92, 012118(2015).

    [32] Bagan E, Bergou J A, Cottrell S S et al. Relations between coherence and path information[J]. Physical Review Letters, 116, 160406(2016).

    [33] Yuan Y, Hou Z B, Zhao Y Y et al. Experimental demonstration of wave-particle duality relation based on coherence measure[J]. Optics Express, 26, 4470-4478(2018).

    [34] Zhang M, Kang H J, Wang M H et al. Quantifying quantum coherence of optical cat states[J]. Photonics Research, 9, 887-892(2021).

    [35] James D F V, Kwiat P G, Munro W J et al. Measurement of qubits[J]. Physical Review A, 64, 052312(2001).

    [36] Girolami D. Observable measure of quantum coherence in finite dimensional systems[J]. Physical Review Letters, 113, 170401(2014).

    [37] Wang Y T, Tang J S, Wei Z Y et al. Directly measuring the degree of quantum coherence using interference fringes[J]. Physical Review Letters, 118, 020403(2017).

    [38] Zhang D J, Liu C L, Yu X D et al. Estimating coherence measures from limited experimental data available[J]. Physical Review Letters, 120, 170501(2018).

    [39] Carmeli C, Heinosaari T, Maniscalco S et al. Determining quantum coherence with minimal resources[J]. New Journal of Physics, 20, 063038(2018).

    [40] Wu K D, Streltsov A, Regula B et al. Experimental progress on quantum coherence: detection, quantification, and manipulation[J]. Advanced Quantum Technologies, 4, 2100040(2021).

    [41] Yuan Y, Hou Z B, Tang J F et al. Direct estimation of quantum coherence by collective measurements[J]. Npj Quantum Information, 6, 46(2020).

    [42] Tarrach R, Vidal G. Universality of optimal measurements[J]. Physical Review A, 60, R3339(1999).

    [43] Bagan E, Ballester M A, Gill R D et al. Separable measurement estimation of density matrices and its fidelity gap with collective protocols[J]. Physical Review Letters, 97, 130501(2006).

    [44] Baumgratz T, Cramer M, Plenio M B. Quantifying coherence[J]. Physical Review Letters, 113, 140401(2014).

    [45] Ren H Z, Lin A N, He S Y et al. Quantitative coherence witness for finite dimensional states[J]. Annals of Physics, 387, 281-289(2017).

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    Yuan Yuan, Yueping Niu, Shangqing Gong, Guoyong Xiang. Performance of Collective Measurement to Estimate Quantum Coherence[J]. Acta Optica Sinica, 2022, 42(3): 0327014

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    Paper Information

    Category: Quantum Optics

    Received: Sep. 1, 2021

    Accepted: Dec. 20, 2021

    Published Online: Jan. 24, 2022

    The Author Email: Xiang Guoyong (gyxiang@ustc.edu.cn)

    DOI:10.3788/AOS202242.0327014

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