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  • Letter
  • Open Access

Quantum simulation of indefinite causal order induced quantum refrigeration

Huan Cao*, Ning-Ning Wang*, Zhian Jia, Chao Zhang†, Yu Guo, Bi-Heng Liu, Yun-Feng Huang‡, Chuan-Feng Li§, and Guang-Can Guo

  • CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China and CAS Center For Excellence in Quantum Information and Quantum Physics, Hefei 230026, China

  • *These two authors contributed equally to this work.
  • †drzhang.chao@ustc.edu.cn
  • ‡hyf@ustc.edu.cn
  • §cfli@ustc.edu.cn

Phys. Rev. Research 4, L032029 – Published 16 August, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032029

Abstract

In the classical world, physical events always happen in a fixed causal order. However, it was recently revealed that quantum mechanics allows events to occur with indefinite causal order (ICO). In this study, we use an optical quantum switch to experimentally investigate the application of ICO in thermodynamic tasks. Specifically, we simulate the working system interacting with two identical thermal reservoirs in an ICO, observing the quantum heat extraction even though they are in thermal equilibrium where heat extraction is inaccessible by traditional thermal contact. Using such a process, we simulate an ICO refrigeration cycle and investigate its properties. We also show that by passing through the ICO channel multiple times, one can extract more heat per cycle and thus obtain a higher refrigeration performance. Our results suggest that the causal nonseparability can be a powerful resource for quantum thermodynamic tasks.

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References (57)

  1. J. S. Bell, On the Einstein Podolsky Rosen paradox, Phys. Phys. Fiz. 1, 195 (1964).
  2. S. Kochen and E. P. Specker, The problem of hidden variables in quantum mechanics, in The Logico-Algebraic Approach to Quantum Mechanics (Springer, Berlin, 1975), pp. 293–328.
  3. O. Oreshkov, F. Costa, and Č. Brukner, Quantum correlations with no causal order, Nat. Commun. 3, 1092 (2012).
  4. Č. Brukner, Quantum causality, Nat. Phys. 10, 259 (2014).
  5. D. Oriti, Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter (Cambridge University Press, Cambridge, 2009), pp. 1–150.
  6. S. Hossenfelder, Experimental Search for Quantum Gravity (Springer, Berlin, 2017).
  7. C. Marletto and V. Vedral, Gravitationally Induced Entanglement between Two Massive Particles is Sufficient Evidence of Quantum Effects in Gravity, Phys. Rev. Lett. 119, 240402 (2017).
  8. S. Bose, A. Mazumdar, G. W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A. A. Geraci, P. F. Barker, M. S. Kim, and G. Milburn, Spin Entanglement Witness for Quantum Gravity, Phys. Rev. Lett. 119, 240401 (2017).
  9. A. Peres and D. R. Terno, Quantum information and relativity theory, Rev. Mod. Phys. 76, 93 (2004).
  10. M. Christodoulou and C. Rovelli, On the possibility of laboratory evidence for quantum superposition of geometries, Phys. Lett. B 792, 64 (2019).
  11. B. S. DeWitt, Quantum theory of gravity. I. The canonical theory, Phys. Rev. 160, 1113 (1967).
  12. C. Rovelli, Quantum mechanics without time: A model, Phys. Rev. D 42, 2638 (1990).
  13. R. Gambini, R. A. Porto, and J. Pullin, A relational solution to the problem of time in quantum mechanics and quantum gravity: A fundamental mechanism for quantum decoherence, New J. Phys. 6, 45 (2004).
  14. L. Hardy, Quantum gravity computers: On the theory of computation with indefinite causal structure, in Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle (Springer, Berlin, 2009), pp. 379–401.
  15. M. M. Taddei, R. V. Nery, and L. Aolita, Quantum superpositions of causal orders as an operational resource, Phys. Rev. Research 1, 033174 (2019).
  16. D. Jia and F. Costa, Causal order as a resource for quantum communication, Phys. Rev. A 100, 052319 (2019).
  17. G. Chiribella, Perfect discrimination of no-signalling channels via quantum superposition of causal structures, Phys. Rev. A 86, 040301(R) (2012).
  18. P. A. Guérin, A. Feix, M. Araújo, and Č. Brukner, Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication, Phys. Rev. Lett. 117, 100502 (2016).
  19. A. Feix, M. Araújo, and Č. Brukner, Quantum superposition of the order of parties as a communication resource, Phys. Rev. A 92, 052326 (2015).
  20. M. Araújo, F. Costa, and Č. Brukner, Computational Advantage from Quantum-Controlled Ordering of Gates, Phys. Rev. Lett. 113, 250402 (2014).
  21. X. Zhao, Y. Yang, and G. Chiribella, Quantum Metrology with Indefinite Causal Order, Phys. Rev. Lett. 124, 190503 (2020).
  22. C. Mukhopadhyay, M. K. Gupta, and A. K. Pati, Superposition of causal order as a metrological resource for quantum thermometry, arXiv:1812.07508.
  23. D. Ebler, S. Salek, and G. Chiribella, Enhanced Communication with the Assistance of Indefinite Causal Order, Phys. Rev. Lett. 120, 120502 (2018).
  24. S. Salek, D. Ebler, and G. Chiribella, Quantum communication in a superposition of causal orders, arXiv:1809.06655.
  25. G. Chiribella, M. Banik, S. S. Bhattacharya, T. Guha, M. Alimuddin, A. Roy, S. Saha, S. Agrawal, and G. Kar, Indefinite causal order enables perfect quantum communication with zero capacity channels, New J. Phys. 23, 033039 (2021).
  26. L. M. Procopio, A. Moqanaki, M. Araújo, F. Costa, I. A. Calafell, E. G. Dowd, D. R. Hamel, L. A. Rozema, Č. Brukner, and P. Walther, Experimental superposition of orders of quantum gates, Nat. Commun. 6, 7913 (2015).
  27. G. Rubino, L. A. Rozema, A. Feix, M. Araújo, J. M. Zeuner, L. M. Procopio, Č. Brukner, and P. Walther, Experimental verification of an indefinite causal order, Sci. Adv. 3, e1602589 (2017).
  28. K. Goswami, C. Giarmatzi, M. Kewming, F. Costa, C. Branciard, J. Romero, and A. G. White, Indefinite Causal Order in a Quantum Switch, Phys. Rev. Lett. 121, 090503 (2018).
  29. Y. Guo, X.-M. Hu, Z.-B. Hou, H. Cao, J.-M. Cui, B.-H. Liu, Y.-F. Huang, C.-F. Li, G.-C. Guo, and G. Chiribella, Experimental Transmission of Quantum Information Using a Superposition of Causal Orders, Phys. Rev. Lett. 124, 030502 (2020).
  30. K. Goswami, Y. Cao, G. A. Paz-Silva, J. Romero, and A. G. White, Increasing communication capacity via superposition of order, Phys. Rev. Research 2, 033292 (2020).
  31. K. Wei, N. Tischler, S.-R. Zhao, Y.-H. Li, J. M. Arrazola, Y. Liu, W. Zhang, H. Li, L. You, Z. Wang, Y.-A. Chen, B. C. Sanders, Q. Zhang, G. J. Pryde, F. Xu, and J.-W. Pan, Experimental Quantum Switching for Exponentially Superior Quantum Communication Complexity, Phys. Rev. Lett. 122, 120504 (2019).
  32. D. Felce and V. Vedral, Quantum Refrigeration with Indefinite Causal Order, Phys. Rev. Lett. 125, 070603 (2020).
  33. M. Campisi, J. Pekola, and R. Fazio, Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments, New J. Phys. 17, 035012 (2015).
  34. M. Campisi and R. Fazio, Dissipation, correlation and lags in heat engines, J. Phys. A: Math. Theor. 49, 345002 (2016).
  35. K. Maruyama, F. Nori, and V. Vedral, Colloquium: The physics of Maxwell's demon and information, Rev. Mod. Phys. 81, 1 (2009).
  36. C. Elouard, D. Herrera-Martí, B. Huard, and A. Auffeves, Extracting Work from Quantum Measurement in Maxwell's Demon Engines, Phys. Rev. Lett. 118, 260603 (2017).
  37. L. Buffoni, A. Solfanelli, P. Verrucchi, A. Cuccoli, and M. Campisi, Quantum Measurement Cooling, Phys. Rev. Lett. 122, 070603 (2019).
  38. T. Guha, M. Alimuddin, and P. Parashar, Thermodynamic advancement in the causally inseparable occurrence of thermal maps, Phys. Rev. A 102, 032215 (2020).
  39. S. Markes and L. Hardy, Entropy for theories with indefinite causal structure, J. Phys.: Conf. Ser. 306, 012043 (2011).
  40. K. Simonov, G. Francica, G. Guarnieri, and M. Paternostro, Work extraction from coherently activated maps via quantum switch, Phys. Rev. A 105, 032217 (2022).
  41. G. Rubino, G. Manzano, and Č. Brukner, Quantum superposition of thermodynamic evolutions with opposing time's arrows, Commun. Phys. 4, 251 (2021).
  42. X. Nie, X. Zhu, C. Xi, X. Long, Z. Lin, Y. Tian, C. Qiu, X. Yang, Y. Dong, J. Li et al., Experimental realization of a quantum refrigerator driven by indefinite causal orders, arXiv:2011.12580.
  43. G. Chiribella, G. M. D'Ariano, P. Perinotti, and B. Valiron, Quantum computations without definite causal structure, Phys. Rev. A 88, 022318 (2013).
  44. J.-S. Xu, M.-H. Yung, X.-Y. Xu, S. Boixo, Z.-W. Zhou, C.-F. Li, A. Aspuru-Guzik, and G.-C. Guo, Demon-like algorithmic quantum cooling and its realization with quantum optics, Nat. Photon. 8, 113 (2014).
  45. L. Mancino, M. Sbroscia, I. Gianani, E. Roccia, and M. Barbieri, Quantum Simulation of Single-Qubit Thermometry Using Linear Optics, Phys. Rev. Lett. 118, 130502 (2017).
  46. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L032029 for more experimental details, the comparison with different scenarios, as well as interpretation of our experiment by maxwell-demon-like cooling mechanism.
  47. K. A. Fisher, R. Prevedel, R. Kaltenbaek, and K. J. Resch, Optimal linear optical implementation of a single-qubit damping channel, New J. Phys. 14, 033016 (2012).
  48. H. Lu, C. Liu, D.-S. Wang, L.-K. Chen, Z.-D. Li, X.-C. Yao, L. Li, N.-L. Liu, C.-Z. Peng, B. C. Sanders, Y.-A. Chen, and J.-W. Pan, Experimental quantum channel simulation, Phys. Rev. A 95, 042310 (2017).
  49. A. B. Pippard, Elements of Classical Thermodynamics: For Advanced Students of Physics (Cambridge University Press, Cambridge, 1964).
  50. K. Abdelkhalek, Y. Nakata, and D. Reeb, Fundamental energy cost for quantum measurement, arXiv:1609.06981.
  51. R. Landauer, Irreversibility and heat generation in the computing process, IBM J. Res. Dev. 5, 183 (1961).
  52. M. Perarnau-Llobet, K. V. Hovhannisyan, M. Huber, P. Skrzypczyk, N. Brunner, and A. Acín, Extractable Work from Correlations, Phys. Rev. X 5, 041011 (2015).
  53. G. Francica, J. Goold, F. Plastina, and M. Paternostro, Daemonic ergotropy: Enhanced work extraction from quantum correlations, npj Quantum Inf. 3, 12 (2017).
  54. E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91, 025001 (2019).
  55. J. Bavaresco, M. Araújo, Č. Brukner, and M. T. Quintino, Semi-device-independent certification of indefinite causal order, Quantum 3, 176 (2019).
  56. B. Swingle, G. Bentsen, M. Schleier-Smith, and P. Hayden, Measuring the scrambling of quantum information, Phys. Rev. A 94, 040302(R) (2016).
  57. G. Zhu, M. Hafezi, and T. Grover, Measurement of many-body chaos using a quantum clock, Phys. Rev. A 94, 062329 (2016).

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