Abstract
This study investigates the dynamical aspects of quantum correlations under two uses of noisy channels with memory. In this article, considering a family of pure entangled states, we study the quantum correlation in terms of entanglement and measurement-induced nonlocality (MIN) (based on trace distance and fidelity) when the consecutive actions of a quantum channel on the sequence of qubits have partial classical correlations. It is found that the quantum correlations monotonically decrease as the correlation strength increases, which indicates that the correlation measures strongly depend on both the noise parameter and the correlation strength of the channel. The results also illustrate that the memory effects offer more robustness against the considered noise. These findings give us insights into exploiting the resource content of the quantum state to achieve quantum advantages.
Similar content being viewed by others
Data availability
No data was used for the research described in the article.
References
Aaronson, B., Lo Franco, R., Adesso, G.: Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence. Phys. Rev. A 88, 012120 (2013)
Addis, C., Karpa, G., Macchiavello, C., et al.: Dynamical memory effects in correlated quantum channels. Phys. Rev. A 94, 032121 (2016)
Ahadpour, S., Mirmasoudi, F.: Dynamics of quantum correlations for different types of noisy channels. Opt. Quant. Electron. 52, 369 (2020)
Banaszek, Konrad, Dragan, Andrzej, Wasilewski, Wojciech, Radzewicz, Czesław: Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise. Phys. Rev. Lett. 92, 257901 (2004)
Bell, J.S.: On the Einstein-Podolsky-Rosen paradox. Physics 1, 195–200 (1964)
Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: Quantum machine learning. Nature 549, 195–202 (2017)
Dağ, C.B., Niedenzu, W., Ozaydin, F., Müstecaplıoğlu, Q.E., Kurizk, G.: Temperature control in dissipative cavities by entangled dimers. J. Phys. Chem. C 123, 4035–4043 (2019)
Giovannetti, V., Lloyd, S., Maccone, L.: Quantum metrology. Phys. Rev. Lett. 96(1), 010401 (2006)
Goswami, S., Ghosh, S., Majumdar, A.S.: Protecting quantum correlations in presence of generalized amplitude damping channel: the two-qubit case. J. Phys. A: Math. Theor. 54, 045302 (2021)
Guo, Y.-N., Fang, M.-F., Wang, G.-Y., Zeng, K.: Generation and protection of steady-state quantum correlations due to quantum channels with memory. Quant. Inf. Process. 15, 5129–5144 (2016)
Guo, Y.-N., Tian, Q.-L., Zeng, K., Li, Z.-D.: Quantum coherence of two-qubit over quantum channels with memory. Quant. Inf. Process. 16, 310 (2017)
Guo, Y.-N., Yang, C., Tian, Q.-L., Wang, G.-Y., Zeng, K.: Local quantum uncertainty and interferometric power for a two-qubit system under decoherence channels with memory. Quant. Inf. Process. 18, 375 (2019)
Guo, Y.-N., Zeng, K., Chen, P.-X.: Teleportation of quantum Fisher information under decoherence channels with memory. Laser Phys. Lett. 16, 095203 (2019)
Guo, Y.-N., Tian, Q.-L., Zeng, K., Chen, P.-X.: Fidelity of quantum teleportation in correlated quantum channels. Quant. Inf. Process. 19, 182 (2020)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)
Huang, Zhiming, Zhang, Cai: Protecting quantum correlation from correlated amplitude damping channel. Braz. J. Phys. 47, 400 (2017)
Jozsa, R.: Fidelity for mixed quantum states. J. Mod. Opt. 41, 2315 (1994)
Kai, Xu., Zhang, Guo-Feng., Liu, Wu-Ming.: Quantum dynamical speedup in correlated noisy channels. Phys. Rev. A 100, 052305 (2019)
Knill, E., Laflamme, R.: Power of one bit of quantum information. Phys. Rev. Lett. 81, 5672 (1998)
Lo Franco, R., Compagno, G.: Quantum entanglement of identical particles by standard information-theoretic notions. Sci. Rep. 6, 1–10 (2016)
Luo, S., Fu, S.: Measurement-induced nonlocality. Phys. Rev. Lett. 106, 120401 (2011)
Macchiavello, Chiara, Massimo Palma, G.: Entanglement-enhanced information transmission over a quantum channel with correlated noise. Phys. Rev. A 65, 050301(R) (2002)
Maziero, J., Celeri, L.C., Serra, R., Vedral, V.: Classical and quantum correlations under decoherence. Phys. Rev. A 80, 044102 (2009)
Ming-Liang, Hu., Fan, Heng: Measurement-induced nonlocality based on the trace norm. New J. Phys. 17, 033004 (2015)
Mohamed, A.-B.A., Rahman, A.U., Eleuch, H.: Measurement uncertainty, purity, and entanglement dynamics of maximally entangled two qubits interacting spatially with isolated cavities: intrinsic decoherence effect. Entropy 24, 545 (2022)
Muthuganesan, R., Sankaranarayanan, R.: Fidelity based measurement induced nonlocality and its dynamics in quantum noisy channels. Phys. Lett. A 381, 3855–3859 (2017)
Muthuganesan, R., Sankaranarayanan, R.: Dynamics of measurement-induced nonlocality under decoherence. Quant. Inf. Process. 17, 305 (2018)
Nielsen, M., Chuang, I.: Quantum computation and quantum information. Cambridge University Press, Cambridge (2010)
Paladino, E., Faoro, L., Falci, G., Fazio, R.: Decoherence and 1/f Noise in Josephson Qubits. Phys. Rev. Lett. 88, 228304 (2002)
Rahman, A.U., Khedif, Y., Javed, M., Ali, H., Daoud, M.: Characterizing two-qubit non-classical correlations and non-locality in mixed local dephasing noisy channels. Ann. Phys. 534, 2200197 (2022)
Rahman, A.U., Zidan, N., Zangi, S.M., Javed, M., Ali, H.: Quantum memory-assisted entropic uncertainty and entanglement dynamics: two qubits coupled with local fields and Ornstein Uhlenbeck noise. Quant. Inf. Process. 21, 354 (2022)
Rahman, A.U., Haddadi, S., Pourkarimi, M.R., Ghominejad, M.: Fidelity of quantum states in a correlated dephasing channel. Laser Phys. Lett. 19, 035204 (2022)
Streltsov, A., Kampermann, H., Bruß, D.: Behavior of quantum correlations under Local Noise. Phys. Rev. Lett. 107, 170502 (2011)
Suter, Dieter, Álvarez, Gonzalo A.: Protecting quantum information against environmental noise. Rev. Mod. Phys. 88, 041001 (2016)
Uola, R., Costa, Ana CS., Chau Nguyen, H., Gühne, O.: Quantum steering. Rev. Mod. Phys. 92, 015001 (2020)
Wang, Zhan-Yun., Qin, Zhi-Yong.: Quantum teleportation, entanglement, and Bell nonlocality in correlated noisy channels. Laser Phys. 30, 055201 (2020)
Wang, X., Yu, C.-S., Yi, X.X.: An alternative quantum fidelity for mixed states of qudits. Phys. Lett. A 373, 58–60 (2008)
Wang, Guo-you, Guo, You-neng, Deng, Zhihong: Dynamics of skew information-based quantum coherence under correlated noisy channels. J. Mod. Opt. 69, 531 (2022)
Werner, R.F.: Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. Phys. Rev. A 40, 4277 (1989)
Wootters, W.K.: Entanglement of Formation of an Arbitrary State of Two Qubits. Phys. Rev. Lett. 80, 2245 (1998)
Yeo, Y., Skeen, A.: Time-correlated quantum amplitude-damping channel. Phys. Rev. A 67, 064301 (2003)
Zhou, D., Joynt, R.: Phenomenological noise model for superconducting qubits: two-state fluctuators and 1/f noise. Sup. Sci. Tech. 25, 045003 (2012)
Zurek, W.H.: Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715 (2003)
Acknowledgement
R.M. is grateful for the CTU Global Postdoc Fellowship Program and the financial support from M MT RVO 14000.
Funding
The authors have not disclosed any funding.
Author information
Authors and Affiliations
Contributions
MR, NA, RM and NS: Formulation, Manuscript Preparation. NA, RM: Writing and Editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Ethical approval
Not Applicable
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Rameshkumar, M., Ananth, N., Muthuganesan, R. et al. Dynamics of quantum correlations under correlated noisy channels. Opt Quant Electron 55, 732 (2023). https://doi.org/10.1007/s11082-023-05019-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-023-05019-w