The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Operational Markov Condition for Quantum Processes
Open accessAbstract
We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects. We then derive a family of measures of non-Markovianity with clear operational interpretations, such as the size of the memory required to simulate a process or the experimental falsifiability of a Markovian hypothesis.
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Citations
Cites
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
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
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
Assessing Non-Markovian Quantum Dynamics
Wolf, M. M., Eisert, J., Cubitt, T. S., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.150402 · Cited by 596
Remarks on Non-Markov Processes
van Kampen, N. G. (1998) · Brazilian Journal of Physics · doi:10.1590/s0103-97331998000200003 · Cited by 114
Devi, A. R. U., Rajagopal, A. K., Shenoy, S., & Rendell, R. W. (2012) · Journal of Quantum Information Science · doi:10.4236/jqis.2012.23009 · Cited by 17
Cited by
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
Non-Markovian quantum processes: Complete framework and efficient characterization
Pollock, F. A., Rodríguez-Rosario, C., Frauenheim, T., Paternostro, M., & Modi, K. (2018) · Physical Review A · doi:10.1103/physreva.97.012127 · Cited by 334
Self-citationTomographically reconstructed master equations for any open quantum dynamics
Pollock, F. A., & Modi, K. (2018) · Quantum · doi:10.22331/q-2018-07-11-76 · Cited by 56
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Metadata
- Authors
- Pollock, F. A., Rodríguez-Rosario, C., Frauenheim, T., Paternostro, M., & Modi, K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-01-25
- Volume
- 120
- Issue
- 4
- Pages
- 040405-040405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2787752732
- Cited by
- 261
- References
- 6
- FWCI
- 14.02
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Pollock, F. A., Rodríguez-Rosario, C., Frauenheim, T., Paternostro, M., & Modi, K. (2018). Operational Markov Condition for Quantum Processes. Physical Review Letters. https://doi.org/10.1103/physrevlett.120.040405
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