Assessing Non-Markovian Quantum Dynamics
Open accessAbstract
We investigate what a snapshot of a quantum evolution--a quantum channel reflecting open system dynamics--reveals about the underlying continuous time evolution. Remarkably, from such a snapshot, and without imposing additional assumptions, it can be decided whether or not a channel is consistent with a time (in)dependent Markovian evolution, for which we provide computable necessary and sufficient criteria. Based on these, a computable measure of "Markovianity" is introduced. We discuss how the consistency with Markovian dynamics can be checked in quantum process tomography. The results also clarify the geometry of the set of quantum channels with respect to being solutions of time (in)dependent master equations.
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The direct coupling between the two qubits can be implemented using a Sørensen-Mølmer gate.
“For the implementation of the direct coupling between the two qubits we make use of a Sørensen-Mølmer gate [21, 22].”
From Non-Markovianity-Assisted Steady State Entanglement (2012) · cites this paper as [21]
The Sørensen-Mølmer gate scheme does not require the center-of-mass mode to be in its ground state, increasing the robustness of the scheme.
“The added advantage of this scheme is the fact that it does not require the center-of-mass mode to be in its ground state thus increasing the robustness of the scheme.”
From Non-Markovianity-Assisted Steady State Entanglement (2012) · cites this paper as [21]
In most proposals or experimental realizations, OSAQSs allow for a wide control of parameters, which allows for simulation of open-system (Markovian) evolutions for wide families of open systems.
“Nevertheless, in most of the proposals [126-128] or experimental realizations they allow for a wide control of parameters, which in turn allows for simulation of open-system (Markovian) evolutions for wide families of open systems.”
From Can one trust quantum simulators? (2012) · cites this paper as [127]
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- Authors
- Wolf, M. M., Eisert, J., Cubitt, T. S., & Cirac, J. I.
- Affiliations
- University of Copenhagen (DK)
- University of Potsdam (DE)
- University of Bristol (GB)
- Max Planck Institute of Quantum Optics (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-10-06
- Volume
- 101
- Issue
- 15
- Pages
- 150402-150402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1582766254
- Cited by
- 596
- References
- 25
- Citations by year
- 2026: 14 · 2025: 26 · 2024: 37 · 2023: 27 · 2022: 49 · 2021: 42 · 2020: 33 · 2019: 35 · 2018: 32 · 2017: 40 · 2016: 43 · 2015: 42 · 2014: 47 · 2013: 36 · 2012: 42
- FWCI
- 26.91
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- UCL Discovery (University College London) (submittedVersion)
- Research at the University of Copenhagen (University of Copenhagen) (submittedVersion)
- MPG.PuRe (Max Planck Society) (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 › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- non-Markovian dynamics, quantum channels, open quantum systems, quantum process tomography, consistency conditions, quantum evolution
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