The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Quantum Fisher information flow and non-Markovian processes of open systems
Open accessAbstract
We establish an information-theoretic approach for quantitatively characterizing the non-Markovianity of open quantum processes. Here, the quantum Fisher information (QFI) flow provides a measure to statistically distinguish Markovian and non-Markovian processes. A basic relation between the QFI flow and non-Markovianity is unveiled for quantum dynamics of open systems. For a class of time-local master equations, the exactly analytic solution shows that for each fixed time the QFI flow is decomposed into additive subflows according to different dissipative channels.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Breuer, H.-P., Laine, E.-M., & Piilo, J. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.210401 · Cited by 1,480
Quantum Dynamical Semigroups and Applications
(2007) · Lecture Notes in Physics · doi:10.1007/3-540-70861-8 · Cited by 1,182
Entanglement and Non-Markovianity of Quantum Evolutions
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050403 · Cited by 1,037
Research works printed but not linked: 20
- 10.1103/PhysRevLett.101.150402 · DOI · Paper page
- 10.1103/PhysRevA.81.044105 · DOI · Paper page
- 10.1103/PhysRevD.23.357 · DOI · Paper page
- 10.1103/PhysRevA.70.012106 · DOI · Paper page
- 10.1007/BF01040100 · DOI · Paper page
- 10.1007/BF01319852 · DOI · Paper page
- 10.1143/JPSJ.49.891 · DOI · Paper page
- 10.1103/PhysRevA.6.1741 · DOI
- 10.1016/S0375-9601(03)01052-1 · DOI
- 10.1016/0003-4916(63)90068-X · DOI · Paper page
- 10.1016/0378-4371(83)90013-4 · DOI · Paper page
- J.-H. An, 2009, Quantum Inf. Comput., 9, 0317
- 10.1103/PhysRevA.74.053815 · DOI
- C. W. Helstrom, 1976, Quantum Detection and Estimation Theory, 10.1007/BF01007479 · DOI · Paper page
- 10.1103/PhysRevLett.100.180402 · DOI · Paper page
- 10.1209/0295-5075/85/50004 · DOI
- 10.1023/A:1018671424739 · DOI
- 10.1088/1464-4266/6/3/016 · DOI
- 10.1103/PhysRevA.63.042304 · DOI · Paper page
- 10.1103/PhysRevLett.99.160502 · DOI · Paper page
Cited by
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035
Quantum Fisher information matrix and multiparameter estimation
Liu, J., Yuan, H., Lu, X.-M., & Wang, X. (2020) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ab5d4d · Cited by 802
Self-citationObservable Measure of Quantum Coherence in Finite Dimensional Systems
Girolami, D. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.170401 · Cited by 537
Quantifying non-Markovianity via correlations
Luo, S., Fu, S., & Song, H. (2012) · Physical Review A · doi:10.1103/physreva.86.044101 · Cited by 353
Concepts of quantum non-Markovianity: A hierarchy
Li, L., Hall, M. J. W., & Wiseman, H. M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.07.001 · Cited by 353
Metadata
- Authors
- Lu, X.-M., Wang, X., & Sun, C. P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-10-08
- Volume
- 82
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2072055974
- Cited by
- 540
- References
- 16
- FWCI
- 11.72
- Type
- journal article
- Language
- en
- Open access
- green
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