Mechanism of entanglement preservation
Open accessAbstract
We study the entanglement preservation of two qubits locally interacting with their reservoirs. We show that the existence of a bound state of the qubit and its reservoir and the non-Markovian effect are two essential ingredients and their interplay plays a crucial role in preserving the entanglement in the steady state. When the non-Markovian effect is neglected, the entanglement sudden death (ESD) is reproduced. On the other hand, when the non-Markovian is significantly strong but the bound state is absent, the phenomenon of the ESD and its revival is recovered. Our formulation presents a unified picture about the entanglement preservation and provides a clear clue on how to preserve the entanglement in quantum information processing.
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Our mechanism cannot be captured by the previous treatment with Lorentzian spectrum, where the lower limit of the frequency integration is artificially extended from 0 to -∞, and this approximation loses the availability of the bound state.
“Note that our mechanism cannot be captured by the previous treatment with Lorentzian spectrum [25, 26, 28, 33, 34], where the lower limit of the frequency integration in f ( t -τ ) is artificially extended from 0 to -∞ . This approximation is mathematically convenient but loses the availability of the bound state [40].”
From Mechanism for quantum speedup in open quantum systems (2016) · cites this paper as [40]
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Cites
<i>Quantum Computation and Quantum Information</i>
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895 · see citing works
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
Inhibited Spontaneous Emission in Solid-State Physics and Electronics
Yablonovitch, E. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.2059 · Cited by 14,020 · see citing works
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290 · see citing works
Theory of open quantum systems
Xu, R., & Yan, Y. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1474579 · Cited by 6,622 · see citing works
Scully, M. O., & Zubairy, M. S. (1997) · doi:10.1017/cbo9780511813993 · Cited by 6,589 · see citing works
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938 · see citing works
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
Wallraff, A., Schuster, D. I., Blais, A., Frunzio, L., Huang, R. S., Majer, J., Kumar, S., Girvin, S. M., & Schoelkopf, R. J. (2004) · Nature · doi:10.1038/nature02851 · Cited by 3,796 · see citing works
(2012) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814374927 · Cited by 2,499 · see citing works
Quantum nature of a strongly coupled single quantum dot–cavity system
Hennessy, K. J., Badolato, A., Winger, M., Gerace, D., Atatüre, M., Gulde, S., Fält, S., Hu, E. L., & İmamoğlu, A. (2007) · Nature · doi:10.1038/nature05586 · Cited by 1,835 · see citing works
Finite-Time Disentanglement Via Spontaneous Emission
Yu, T., & Eberly, J. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.140404 · Cited by 1,643 · see citing works
Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals
Lodahl, P., Floris van Driel, A., Nikolaev, I. S., Irman, A., Overgaag, K., Vanmaekelbergh, D., & Vos, W. L. (2004) · Nature · doi:10.1038/nature02772 · Cited by 1,286 · see citing works
Quantum states and phases in driven open quantum systems with cold atoms
Diehl, S., Micheli, A., Kantian, A., Kraus, B., Büchler, H. P., & Zoller, P. (2008) · Nature Physics · doi:10.1038/nphys1073 · Cited by 1,268 · see citing works
Yu, T., & Eberly, J. H. (2009) · Science · doi:10.1126/science.1167343 · Cited by 1,097 · see citing works
Environment-Induced Sudden Death of Entanglement
de Almeida, M. P., de Melo, F., Hor-Meyll, M. O., Salles, A., Walborn, S. P., Ribeiro, P. H. S., & Davidovich, L. (2007) · Science · doi:10.1126/science.1139892 · Cited by 913 · see citing works
Buluta, I., & Nori, F. (2009) · Science · doi:10.1126/science.1177838 · Cited by 876 · see citing works
Non-Markovian Effects on the Dynamics of Entanglement
Bellomo, B., Franco, R. L., & Compagno, G. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.160502 · Cited by 818 · see citing works
Quantum electrodynamics near a photonic band gap: Photon bound states and dressed atoms
John, S., & Wang, J. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2418 · Cited by 763 · see citing works
Decoherence of quantum superpositions through coupling to engineered reservoirs
Myatt, C. J., King, B. E., Turchette, Q. A., Sackett, C. A., Kielpinski, D., Itano, W. M., Monroe, C. R., & Wineland, D. J. (2000) · Nature · doi:10.1038/35002001 · Cited by 694 · see citing works
Weiß, U. (2008) · Series in modern condensed matter physics · doi:10.1142/6738 · Cited by 690 · see citing works
Spontaneous emission near the edge of a photonic band gap
John, S., & Quang, T. (1994) · Physical Review A · doi:10.1103/physreva.50.1764 · Cited by 683 · see citing works
Protecting Entanglement via the Quantum Zeno Effect
Maniscalco, S., Francica, F., Zaffino, R. L., Gullo, N. L., & Plastina, F. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.090503 · Cited by 495 · see citing works
Fundamental quantum optics in structured reservoirs
Lambropoulos, P., Nikolopoulos, G. M., Nielsen, T. R., & Bay, S. (2000) · Reports on Progress in Physics · doi:10.1088/0034-4885/63/4/201 · Cited by 339 · see citing works
Piilo, J., Maniscalco, S., Härkönen, K., & Suominen, K. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.180402 · Cited by 317 · see citing works
Entanglement dynamics of two independent qubits in environments with and without memory
Bellomo, B., Franco, R. L., & Compagno, G. (2008) · Physical Review A · doi:10.1103/physreva.77.032342 · Cited by 286 · see citing works
Decoherence and decay of motional quantum states of a trapped atom coupled to engineered reservoirs
Turchette, Q. A., Myatt, C. J., King, B. E., Sackett, C. A., Kielpinski, D., Itano, W. M., Monroe, C. R., & Wineland, D. J. (2000) · Physical Review A · doi:10.1103/physreva.62.053807 · Cited by 282 · see citing works
Entanglement trapping in structured environments
Bellomo, B., Franco, R. L., Maniscalco, S., & Compagno, G. (2008) · Physical Review A · doi:10.1103/physreva.78.060302 · Cited by 215 · see citing works
Experimental Demonstration of Photonic Entanglement Collapse and Revival
Xu, J., Li, C., Gong, M., Zou, X., Shi, C.-H., Chen, G., & Guo, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.100502 · Cited by 183 · see citing works
Mesoscopic spin-boson models of trapped ions
Porras, D., Marquardt, F., von Delft, J., & Cirac, J. I. (2008) · Physical Review A · doi:10.1103/physreva.78.010101 · Cited by 132 · see citing works
Fast Electrical Control of a Quantum Dot Strongly Coupled to a Photonic-Crystal Cavity
Faraon, A., Majumdar, A., Kim, H., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.047402 · Cited by 106 · see citing works
Universal Phase Shift and Nonexponential Decay of Driven Single-Spin Oscillations
Koppens, F. H. L., Klauser, D., Coish, W. A., et al. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.106803 · Cited by 98 · see citing works
Non-Markovian Decoherence of Localized Nanotube Excitons by Acoustic Phonons
Galland, C., Högele, A., Türeci, H. E., & İmamoğlu, A. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.067402 · Cited by 93 · see citing works
Photon Correlation versus Interference of Single-Atom Fluorescence in a Half-Cavity
Dubin, F., Rotter, D., Mukherjee, M., Russo, C., Eschner, J., & Blatt, R. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.183003 · Cited by 81 · see citing works
Driving-Dependent Damping of Rabi Oscillations in Two-Level Semiconductor Systems
Mogilevtsev, D. S., Nisovtsev, A. P., Kilin, S. Y., et al. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.017401 · Cited by 57 · see citing works
Dissipation control in cavity QED with oscillating mode structures
Linington, I. E., & Garraway, B. M. (2008) · Physical Review A · doi:10.1103/physreva.77.033831 · Cited by 30 · see citing works
Exact decoherence dynamics of a single-mode optical field
An, J.-H., Yeo, Y., & Oh, C. H. (2009) · Annals of Physics · doi:10.1016/j.aop.2009.04.005 · Cited by 8 · see citing works
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Liu, H.-B., Yang, W. L., An, J.-H., & Xu, Z.-Y. (2016) · Physical Review A · doi:10.1103/physreva.93.020105 · Cited by 94 · see citing works
Self-citationAnomalous decoherence in a dissipative two-level system
Liu, H.-B., An, J.-H., Chen, C., Tong, Q.-J., Luo, H.-G., & Oh, C. H. (2013) · Physical Review A · doi:10.1103/physreva.87.052139 · Cited by 47 · see citing works
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Yang, C.-J., An, J.-H., Luo, H.-G., Li, Y., & Oh, C. H. (2014) · Physical Review E · doi:10.1103/physreve.90.022122 · Cited by 38 · see citing works
Self-citationQuantum phase transition in the delocalized regime of the spin-boson model
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Self-citationProgrammable entanglement oscillations in a non-Markovian channel
Cialdi, S., Brivio, D., Tesio, E., & Paris, M. G. A. (2011) · Physical Review A · doi:10.1103/physreva.83.042308 · Cited by 35 · see citing works
- Authors
- Tong, Q.-J., An, J.-H., Luo, H.-G., & Oh, C. H.
- Affiliations
- National University of Singapore (SG)
- Lanzhou University (CN)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-05-24
- Volume
- 81
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2036296465
- Cited by
- 134
- References
- 36
- Citations by year
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- FWCI
- 7.45
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- National University of Singapore (submittedVersion)
- Lanzhou University Institutional Repository (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- entanglement preservation, entanglement sudden death, non-Markovian dynamics, two-qubit entanglement, open quantum systems, steady-state entanglement
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