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Non-Markovianity of local dephasing channels and time-invariant discord
Abstract
We study non-Markovianity and information flow for qubits experiencing local dephasing with an Ohmic class spectrum. We demonstrate the existence of a temperature-dependent critical value of the Ohmicity parameter $s$ for the onset of non-Markovianity and give a physical interpretation of this phenomenon by linking it to the form of the reservoir spectrum. We demonstrate that this link holds also for more general spectra. We unveil a class of initial states for which discord is forever frozen at a positive value. We connect time-invariant discord to non-Markovianity and propose a physical system in which it could be observed.
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“By choosing the s-parameters which correspond to Markovian regime27, the speed limit time can be rewritten as τQSL = τDC(ρ0)1/2qτ.”
From Quantum speed limit for arbitrary initial states (2014) · cites this paper as [27]
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Metadata
- Authors
- Haikka, P., Johnson, T. H., & Maniscalco, S.
- Affiliations
- University of Turku (FI)
- University of Oxford (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-24
- Volume
- 87
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2320666705
- Cited by
- 172
- References
- 33
- Citations by year
- 2026: 4 · 2025: 14 · 2024: 4 · 2023: 8 · 2022: 9 · 2021: 10 · 2020: 9 · 2019: 12 · 2018: 14 · 2017: 28 · 2016: 17 · 2015: 18 · 2014: 16 · 2013: 9
- FWCI
- 22.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Funders
- Engineering and Physical Sciences Research Council (EP/J016349/1)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovianity, local dephasing, Ohmic bath, quantum discord, qubits, information flow, temperature dependence
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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