Abstract
In this paper, we analyse the quantum coherence dynamics of a single qubit locally interacting with a zero-temperature reservoir. We compare the behaviors of quantum coherence in Markovian and non-Markovian regime. We find that the system coherence is transferred to the reservoir and decreases with time. In non-Markovian regime, quantum coherence exists instantaneous disappearance at some discrete time points. Furthermore, we propose an optimal scheme to protect quantum coherence by executing prior weak measurement and post-measurement reversal. It is worth noticing that the scheme can get better quantum coherence with the larger weak measurement strength, while at the cost of reducing success probability.
Similar content being viewed by others
References
Glauber, R.J.: Coherent and incoherent states of the radiation field. Phys. Rev. 131, 2766 (1963)
Sudarshan, E.C.G.: Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams. Phys. Rev. Lett. 10, 277 (1963)
Scully, M.O.: Enhancement of the index of refraction via quantum coherence. Phys. Rev. Lett. 67, 1855 (1991)
Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge, England (1995)
Asbóth, J.K., Calsamiglia, J., Ritsch, H.: Computable measure of nonclassicality for light. Phys. Rev. Lett. 94, 173602 (2005)
Vogel, W., Sperling, J.: Unified quantification of nonclassicality and entanglement. Phys. Rev. A 89, 052302 (2014)
Mraz, M., Sperling, J., Vogel, W., Hage, B.: Witnessing the degree of nonclassicality of light. Phys. Rev. A 90, 03382 (2014)
Roßnagel, J., Abah, O., Schmidt-Kaler, F., Singer, K., LutzNanoscale, E.: Heat engine beyond the carnot limit. Phys. Rev. Lett. 112, 030602 (2014)
Åberg, J.: Catalytic coherence. Phys. Rev. Lett. 113, 150402 (2014)
Correa, L.A., Palao, J.P., Alonso, D., Adesso, G.: Quantum-enhanced absorption refrigerators. Sci. Rep. 4, 3949 (2014)
Narasimhachar, V., Gour, G.: Low-temperature thermodynamics with quantum coherence. Nat. Commun. 6, 7689 (2015)
Lostaglio, M., Jennings, D., Rudolph, T.: Description of quantum coherence in thermodynamic processes requires constraints beyond free energy. Nat. Commun. 6, 6383 (2015)
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge, England (2000)
Baumgratz, T., Cramer, M., Plenio, M.B.: Quanfifying coherence. Phys. Rev. Lett. 113, 140401 (2014)
Deveaud-Plédran, B., Quattropani, A., Schwendimann, P.: Quantum coherence in solid state systems. In: Proceedings of the International School of Physics Enrico Fermi. ISBN: 978-1-60750-039-1, vol. 171. IOS Press, Amsterdam (2009)
Li, C.M., Lambert, N., Chen, Y.N., Chen, G.Y., Nori, F.: Witnessing quantum coherence: From solid-state to biological systems. Sci. Rep. 2, 885 (2012)
Engel, G.S., Calhoun, T.R., Read, E.L., Ahn, T.K., Manc̆al, T., Cheng, Y.C., Blakenship, R.E., Fleming, G.R.: Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature (London) 446, 782 (2007)
Plenio, M.B., Huelga, S.F.: Dephasing-assisted transport: quantum networks and biomolecules. New J. Phys. 10, 113019 (2008)
Rebentrost, P., Mohseni, M., Kassal, I., Lloyd, S., Aspuru-Guzik, A.: Environment-assisted quantum transport. New J. Phys. 11, 033003 (2009)
Caruso, F., Chin, A., Datta, A., Huelga, S., Plenio, M.: Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport. J. Chem. Phys. 131, 105106 (2009)
Collini, E., Wong, C.Y., Wilk, K.E., Curmi, P.M.G., Brumer, P., Scholes, G.D.: Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature. Nature (London) 463, 644 (2010)
Scholes, G.D., Fleming, G.R., Olaya-Castro, A., van Grondelle, R.: Lessons from nature about solar light harvesting. Nat. Chem. 3, 763 (2011)
Lambert, N., Chen, Y.-N., Cheng, Y.-C., Li, C.-M., Chen, G.-Y., Nori, F.: Quantum biology. Nat. Phys. 9, 10 (2013)
Chin, A.W., Prior, J., Rosenbach, R., Caycedo-Soler, F., Huelga, S.F., Plenio, M.B.: The role of non-equilibrium vibrational structures in electronic coherence and recoherence in pigmentCprotein complexes. Nat. Phys. 9, 113 (2013)
Cai, J., Plenio, M.B.: Chemical compass model for avian magnetoreception as a quantum coherent device. Phys. Rev. Lett. 111, 230503 (2013)
O’Reilly, E.J., Olaya-Castro, A.: Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature. Nat. Commun. 5, 3012 (2014)
Levi, F., Mintert, F.: A quantitative theory of coherent delocalization. New J. Phys. 16, 033007 (2014)
Girolami, D.: Observable measure of Quantum coherence in finite dimensional systems. Phys. Rev. Lett. 113, 170401 (2014)
Smyth, C., Scholes, G.D.: Method of developing analytical multipartite delocalization measures for mixed W-like states. Phys. Rev. A 90, 032312 (2014)
Pires, D.P., Celeri, L.C., Soares-Pinto, D.O.: Geometric lower bound for a quantum coherence measure. Phys. Rev. A 91, 042330 (2015)
Streltsov, A., Singh, U., Dhar, H.S., Bera, M.N., Adesso, G.: Measuring quantum coherence with entanglement. Phys. Rev. Lett. 115, 020403 (2015)
Rana, S., Parashar, P., Lewenstein, M.: Trace-distance measure of coherence. Phys. Rev. A 93, 012110 (2016)
Bromley, T.R., Cianciaruso, M., Adesso, G.: Frozen quantum coherence. Phys. Rev. Lett. 114, 210401 (2015)
Mani, A., Karimipour, V.: Cohering and decohering power of quantum channels. Phys. Rev. A 92, 032331 (2015)
Chanda, T., Bhattacharya, S.: Delineating incoherent non-Markovian dynamics using quantum coherence. Ann. Phys. 366, 1 (2016)
Kwiat, P.G., Barraza-Lopez, S., Stefanov, A., Gisin, N.: Experimental entanglement distillation and ’hidden’ non-locality. Nature 409, 1014 (2001)
Pan, J.W., Gasparoni, S., Ursin, R., Weihs, G., Zeilinger, A.: Experimental entanglement purification of arbitrary unknown states. Nature (London) 423, 417 (2003)
Dong, R., et al.: Experimental entanglement distillation of mesoscopic quantum states. Nat. Phys. 4, 919 (2008)
Maniscalco, S., Francica, F., Zaffino, R.L., Gullo, N.L., Plastina, F.: Protecting entanglement via the quantum Zeno effect. Phys. Rev. Lett. 100, 090503 (2008)
Kondo, Y., Matsuzaki, Y., Matsushima, K., Filgueiras, J.G.: Using the quantum Zeno effect for suppression of decoherence. New. J. Phys. 18, 013033 (2016)
Kwiat, P.G., Berglund, A.J., Alterpeter, J.B., White, A.G.: Experimental verification of decoherencefree subspaces. Science 290, 498 (2000)
Qin, W., Wang, C., Zhang, X.: Protected quantum-state transfer in decoherence-free subspaces. Phys. Rev. A 91, 042303 (2015)
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Protecting entanglement from decoherence using weak measurement and quantum measurement reversal. Nat. Phys. 8, 117 (2012)
He, J., Ye, L.: Protecting entanglement under depolarizing noise environment by using weak measurements. Physica A 419, 7 (2015)
He, J., Xu, S., Ye, L.: Inducing multipartite entanglement revival in dissipative environment by means of prior quantum uncollapsing measurements. Physica A 438, 66 (2015)
Xu, S., He, J., Song, X.K., Shi, J.D., Ye, L.: Optimized decoherence suppression of two qubits in independent non-Markovian environments using weak measurement and quantum measurement reversal. Quantum Inf. Process. 14, 755 (2015)
Zhang, Y.J., Han, W., Fan, H., Xia, Y.J.: Enhancing entanglement trapping by weak measurement and quantum measurement reversal. Ann. Phys. 354, 203 (2015)
He, J., Ding, Z.Y., Ye, L.: Enhancing quantum Fisher information by utilizing uncollapsing measurements. Physica A 457, 598 (2016)
Bellomo, B., Lo Franco, R., Compagno, G.: Non-Markovian Effects on the dynamics of entanglement. Phys. Rev. Lett. 99, 160502 (2007)
Bellomo, B., Lo Franco, R., Compagno, G.: Entanglement dynamics of two independent qubits in environments with and without memory. Phys. Rev. A 77, 032342 (2008)
Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Non-markovian effect on the quantum discord. Phys. Rev. A 81, 014101 (2010)
Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford, New York (2002)
Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97, 166805 (2006)
Katz, N., et al.: Reversal of the weak measurement of a quantum state in a superconducting phase qubit. Phys. Rev. Lett. 101, 200401 (2008)
Kim, Y.S., Cho, Y.W., Ra, Y.S., Kim, Y.H.: Reversing the weak quantum measurement for a photonic qubit. Opt. Express 17, 11978 (2009)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant Nos. 61502179), the Natural Science Foundation of Guangdong Province of China (Grant No. 2014A030310265), and the Science Foundation for Young Teachers of Wuyi University (Grant No. 2015zk01).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, Z., Situ, H. Optimal Protection of Quantum Coherence in Noisy Environment. Int J Theor Phys 56, 503–513 (2017). https://doi.org/10.1007/s10773-016-3192-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-016-3192-7