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Quantum Information Processing
Erschienen in: Quantum Information Processing 12/2019

01.12.2019

Work and heat value of bound entanglement

verfasst von: Aslı Tuncer, Mohsen Izadyari, Ceren B. Dağ, Fatih Ozaydin, Özgür E. Müstecaplıoğlu

Erschienen in: Quantum Information Processing | Ausgabe 12/2019

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Abstract

Entanglement has recently been recognized as an energy resource which can outperform classical resources if decoherence is relatively low. Multi-atom entangled states can mutate irreversibly to so-called bound entangled (BE) states under noise. Resource value of BE states in information applications has been under critical study, and a few cases where they can be useful have been identified. We explore the energetic value of typical BE states. Maximal work extraction is determined in terms of ergotropy. Since the BE states are nonthermal, extracting heat from them is less obvious. We compare single and repeated interaction schemes to operationally define and harvest heat from BE states. BE and free entangled (FE) states are compared in terms of their ergotropy and maximal heat values. Distinct roles of distillability in work and heat values of FE and BE states are pointed out. Decoherence effects in dynamics of ergotropy and mutation of FE states into BE states are examined to clarify significance of the work value of BE states. Thermometry of distillability of entanglement using micromaser cavity is proposed.
Vorheriger Artikel Quantum sampling and entropic uncertainty
Nächster Artikel Local quantum uncertainty and interferometric power for a two-qubit system under decoherence channels with memory

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Literatur
1.
Horodecki, M., Horodecki, P., Horodecki, R.: Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? Phys. Rev. Lett. 80, 5239–5242 (1998)ADSMathSciNetMATHCrossRef
2.
3.
Yang, D., Horodecki, M., Horodecki, R., Synak-Radtke, B.: Irreversibility for all bound entangled states. Phys. Rev. Lett. 95, 190501 (2005)ADSMathSciNetCrossRef
4.
Brandão, F.G.S.L., Plenio, M.B.: Entanglement theory and the second law of thermodynamics. Nat. Phys. 4, 873–877 (2008)CrossRef
5.
Horodecki, M., Oppenheim, J., Horodecki, R.: Are the laws of entanglement theory thermodynamical? Phys. Rev. Lett. 89, 240403 (2002)ADSCrossRef
6.
Brandão, F.G.S.L., Plenio, M.B.: A reversible theory of entanglement and its relation to the second law. Commun. Math. Phys. 295, 829–851 (2010)ADSMathSciNetMATHCrossRef
7.
Horodecki, M.: Quantum entanglement: reversible path to thermodynamics. Nat. Phys. 4, 833–834 (2008)CrossRef
8.
Brandão, F.G.S.L., Horodecki, M., Oppenheim, J., Renes, J.M., Spekkens, R.W.: Resource theory of quantum states out of thermal equilibrium. Phys. Rev. Lett. 111, 250404 (2013)ADSCrossRef
9.
Allahverdyan, A.E., Balian, R., Nieuwenhuizen, T.M.: Maximal work extraction from finite quantum systems. EPL (Europhysics Letters) 67, 565 (2004)ADSCrossRef
10.
Francica, G., Goold, J., Plastina, F., Paternostro, M.: Daemonic ergotropy: enhanced work extraction from quantum correlations. NPJ Quant. Inf. 3, 12 (2017)ADSCrossRef
11.
Fusco, L., Paternostro, M., De Chiara, G.: Work extraction and energy storage in the Dicke model. Phys. Rev. E 94, 052122 (2016)ADSCrossRef
12.
Hsieh, C.-Y., Lee, R.-K.: Work extraction and fully entangled fraction. Phys. Rev. A 96, 012107 (2017)ADSCrossRef
13.
Brandner, K., Bauer, M., Seifert, U.: Universal coherence-induced power losses of quantum heat engines in linear response. Phys. Rev. Lett. 119, 170602 (2017)ADSCrossRef
14.
Scully, M.O., Zubairy, M.S., Agarwal, G.S., Walther, H.: Extracting work from a single heat bath via vanishing quantum coherence. Science 299, 862–864 (2003)ADSCrossRef
15.
Türkpençe, D., Müstecaplıoğlu, Ö.E.: Quantum fuel with multilevel atomic coherence for ultrahigh specific work in a photonic Carnot engine. Phys. Rev. E 93, 012145 (2016)ADSCrossRef
16.
Dağ, C., Niedenzu, W., Müstecaplıoğlu, Ö., Kurizki, G.: Multiatom quantum coherences in micromasers as fuel for thermal and nonthermal machines. Entropy 18, 244 (2016)ADSMathSciNetCrossRef
17.
Niedenzu, W., Gelbwaser-Klimovsky, D., Kofman, A.G., Kurizki, G.: On the operation of machines powered by quantum non-thermal baths. New J. Phys. 18, 083012 (2016)ADSCrossRef
18.
Niedenzu, W., Mukherjee, V., Ghosh, A., Kofman, A.G., Kurizki, G.: Quantum engine efficiency bound beyond the second law of thermodynamics. Nat. Commun. 9, 165 (2018)ADSCrossRef
19.
Millen, J., Xuereb, A.: Perspective on quantum thermodynamics. New J. Phys. 18, 011002 (2016)ADSCrossRef
20.
Allahverdyan, A.E., Nieuwenhuizen, T.M.: Extraction of work from a single thermal bath in the quantum regime. Phys. Rev. Lett. 85, 1799–1802 (2000)ADSCrossRef
21.
Weimer, H., Henrich, M.J., Rempp, F., Schröder, H., Mahler, G.: Local effective dynamics of quantum systems: a generalized approach to work and heat. EPL (Europhysics Letters) 83, 30008 (2008)ADSCrossRef
22.
Mahler, G.: Quantum Thermodynamic Processes: Energy and Information Flow at the Nanoscale. Jenny Stanford Publishing, New York (2014)MATHCrossRef
23.
24.
Vinjanampathy, S., Anders, J.: Quantum thermodynamics. Contemp. Phys. 57, 545–579 (2016)ADSCrossRef
25.
Goold, J., Huber, M., Riera, A., del Rio, L., Skrzypczyk, P.: The role of quantum information in thermodynamics—a topical review. J. Phys. A Math. Theor. 49, 143001 (2016)ADSMathSciNetMATHCrossRef
26.
Hardal, A.U.C., Paternostro, M., Müstecaplıoğlu, Ö.E.: Phase-space interference in extensive and nonextensive quantum heat engines. Phys. Rev. E 97, 042127 (2018)ADSCrossRef
27.
Uzdin, R., Levy, A., Kosloff, R.: Equivalence of quantum heat machines, and quantum-thermodynamic signatures. Phys. Rev. X 5, 031044 (2015)
28.
Bauer, M., Brandner, K., Seifert, U.: Optimal performance of periodically driven, stochastic heat engines under limited control. Phys. Rev. E 93, 042112 (2016)ADSCrossRef
29.
Brandner, K., Seifert, U.: Periodic thermodynamics of open quantum systems. Phys. Rev. E 93, 062134 (2016)ADSCrossRef
30.
Quan, H.T., Zhang, P., Sun, C.P.: Quantum-classical transition of photon-Carnot engine induced by quantum decoherence. Phys. Rev. E 73, 036122 (2006)ADSCrossRef
31.
Türkpençe, D., Altintas, F., Paternostro, M., Müstecaplioğlu, Ö.E.: A photonic Carnot engine powered by a spin-star network. EPL (Europhysics Letters) 117, 50002 (2017)ADSCrossRef
32.
Song, W., Chen, L., Zhu, S.-L.: Sudden death of distillability in qutrit-qutrit systems. Phys. Rev. A 80, 012331 (2009)ADSCrossRef
33.
Amselem, E., Bourennane, M.: Experimental four-qubit bound entanglement. Nat. Phys. 5, 748–752 (2009)CrossRef
34.
Lavoie, J., Kaltenbaek, R., Piani, M., Resch, K.J.: Experimental bound entanglement in a four-photon state. Phys. Rev. Lett. 105, 130501 (2010)ADSCrossRef
35.
Kaneda, F., Shimizu, R., Ishizaka, S., Mitsumori, Y., Kosaka, H., Edamatsu, K.: Experimental activation of bound entanglement. Phys. Rev. Lett. 109, 040501 (2012)ADSCrossRef
36.
Ferraro, A., Cavalcanti, D., García-Saez, A., Acín, A.: Thermal bound entanglement in macroscopic systems and area law. Phys. Rev. Lett. 100, 080502 (2008)ADSCrossRef
37.
Tóth, G., Knapp, C., Gühne, O., Briegel, H.J.: Optimal spin squeezing inequalities detect bound entanglement in spin models. Phys. Rev. Lett. 99, 250405 (2007)ADSCrossRef
38.
Cavalcanti, D., Ferraro, A., García-Saez, A., Acín, A.: Distillable entanglement and area laws in spin and harmonic-oscillator systems. Phys. Rev. A 78, 012335 (2008)ADSCrossRef
39.
40.
41.
42.
Czekaj, Ł., Przysiężna, A., Horodecki, M., Horodecki, P.: Quantum metrology: heisenberg limit with bound entanglement. Phys. Rev. A 92, 062303 (2015)ADSCrossRef
43.
Tóth, G., Vértesi, T.: Quantum states with a positive partial transpose are useful for metrology. Phys. Rev. Lett. 120, 020506 (2018)ADSCrossRef
44.
Smolin, J.A.: Four-party unlockable bound entangled state. Phys. Rev. A 63, 032306 (2001)ADSCrossRef
45.
46.
Ali, M.: Distillability sudden death in qutrit-qutrit systems under amplitude damping. J. Phys. B At. Mol. Opt. Phys. 43, 045504 (2010a)ADSCrossRef
47.
48.
Tan, E.Y.-Z., Kaszlikowski, D., Kwek, L.C.: Entanglement witness via symmetric two-body correlations. Phys. Rev. A 93, 012341 (2016)ADSCrossRef
49.
50.
Bhatia, R.: Matrix Analysis, Rajendra Bhatia. Springer, Berlin (1997)CrossRef
51.
52.
Ali, M.: Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing. Phys. Rev. A 81, 042303 (2010b)ADSCrossRef
53.
Chen, K., Ling-An, W.: A matrix realignment method for recognizing entanglement. Quantum Info. Comput. 3, 193–202 (2003)MathSciNetMATH
54.
Janzing, D., Wocjan, P., Zeier, R., Geiss, R., Beth, T.: Thermodynamic cost of reliability and low temperatures: tightening Landauer’s principle and the second law. Int. J. Theor. Phys. 39, 2717–2753 (2000)MathSciNetMATHCrossRef
55.
Horodecki, M., Oppenheim, J.: Fundamental limitations for quantum and nanoscale thermodynamics. Nat. Commun. 4, 2059 (2013)ADSCrossRef
56.
Faist, P., Oppenheim, J., Renner, R.: Gibbs-preserving maps outperform thermal operations in the quantum regime. New J. Phys. 17, 043003 (2015)ADSCrossRef
57.
Wilming, H., Gallego, R., Eisert, J.: Second law of thermodynamics under control restrictions. Phys. Rev. E 93, 042126 (2016)ADSCrossRef
58.
59.
Goold, J., Paternostro, M., Modi, K.: Nonequilibrium quantum Landauer principle. Phys. Rev. Lett. 114, 060602 (2015)ADSCrossRef
60.
Reeb, D., Wolf, M.M.: An improved Landauer principle with finite-size corrections. New J. Phys. 16, 103011 (2014)ADSCrossRef
61.
Esposito, M., Lindenberg, K., Van den Broeck, C.: Entropy production as correlation between system and reservoir. New J. Phys. 12, 013013 (2010)ADSMathSciNetMATHCrossRef
62.
Pezzutto, M., Paternostro, M., Omar, Y.: Implications of non-Markovian quantum dynamics for the Landauer bound. New J. Phys. 18, 123018 (2016)ADSCrossRef
63.
Dağ, C.B., Niedenzu, W., Müstecaplıoğlu, Ö.E., G, K.: Temperature control in dissipative cavities by entangled dimers. J. Phys. Chem. C 123, 4035–4043 (2019)CrossRef
64.
Hardal, A.Ü.C., Müstecaplıoğlu, Ö.E.: Superradiant quantum heat engine. Sci. Rep. 5, 12953 (2015)ADSCrossRef
65.
Manatuly, A., Niedenzu, W., Román-Ancheyta, R., Çakmak, B., Müstecaplıoğlu, Ö.E., Kurizki, G.: Collectively enhanced thermalization via multiqubit collisions. Phys. Rev. E 99, 042145 (2019)ADSCrossRef
66.
Nielsen, M.A., Chuang, I.L..: Quantum Computation and quantum information. In: 10th Anniversary Edition, Anniversary edition ed. Cambridge University Press, Cambridge (2011)
67.
Scully, M.O., Lamb, W.E.: Quantum theory of an optical maser. I. General theory. Phys. Rev. 159, 208–226 (1967)ADSCrossRef
68.
Louisell, W.H.: Quantum Statistical Properties of Radiation. Wiley, Hoboken (1990)MATH
69.
Zhong, W., Sun, Z., Ma, J., Wang, X., Nori, F.: Fisher information under decoherence in Bloch representation. Phys. Rev. A 87, 022337 (2013)ADSCrossRef
70.
Liao, J.-Q., Dong, H., Sun, C.P.: Single-particle machine for quantum thermalization. Phys. Rev. A 81, 052121 (2010)ADSCrossRef
71.
Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Majer, J., Devoret, M.H., Girvin, S.M., Schoelkopf, R.J.: Approaching unit visibility for control of a superconducting qubit with dispersive readout. Phys. Rev. Lett. 95, 060501 (2005)ADSCrossRef
72.
Stern, M., Catelani, G., Kubo, Y., Grezes, C., Bienfait, A., Vion, D., Esteve, D., Bertet, P.: Flux qubits with long coherence times for hybrid quantum circuits. Phys. Rev. Lett. 113, 123601 (2014)ADSCrossRef
73.
Viguié, V., Maruyama, K., Vedral, V.: Work extraction from tripartite entanglement. New J. Phys. 7, 195 (2005)ADSCrossRef
74.
Alimuddin, M., Guha, T., Parashar, P.: Bound on ergotropic gap for bipartite separable states. Phys. Rev. A 99, 052320 (2019)ADSCrossRef
75.
Dillenschneider, R., Lutz, E.: Energetics of quantum correlations. EPL Europhys. Lett. 88, 50003 (2009)ADSCrossRef
76.
Meystre, P., Sargent, M.: Elements of Quantum Optics, 4th edn. Springer, Berlin (2007)MATHCrossRef
77.
Scully, M.O., Zubairy, M.S.: Quantum Optics, 1st edn. Cambridge University Press, Cambridge (1997)CrossRef
78.
Tavis, M., Cummings, F.W.: Exact solution for an \$N\$-molecule–radiation-field Hamiltonian. Phys. Rev. 170, 379–384 (1968)ADSCrossRef
79.
Jaynes, E.T., Cummings, F.W.: Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proc. IEEE 51, 89–109 (1963)CrossRef
80.
Lostaglio, M., Alhambra, Á.M., Perry, C.: Elementary thermal operations. Quantum 2, 52 (2018)CrossRef
81.
Schaller, G.: Open Quantum Systems Far from Equilibrium. Lecture Notes in Physics. Springer, Berlin (2014)MATHCrossRef
Metadaten
Titel
Work and heat value of bound entanglement
verfasst von
Aslı Tuncer
Mohsen Izadyari
Ceren B. Dağ
Fatih Ozaydin
Özgür E. Müstecaplıoğlu
Publikationsdatum
01.12.2019
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 12/2019
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2488-y

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