Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics

We demonstrate, both analytically and experimentally, the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For this, we consider a broad class of qubit evolutions, having a decoherence matrix separated from zero for large times. While any such Markovian ev...

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Main Authors: Marek Miller, Kang-Da Wu, Manfredi Scalici, Jan Kołodyński, Guo-Yong Xiang, Chuan-Feng Li, Guang-Can Guo, Alexander Streltsov
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac6820
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author Marek Miller
Kang-Da Wu
Manfredi Scalici
Jan Kołodyński
Guo-Yong Xiang
Chuan-Feng Li
Guang-Can Guo
Alexander Streltsov
author_facet Marek Miller
Kang-Da Wu
Manfredi Scalici
Jan Kołodyński
Guo-Yong Xiang
Chuan-Feng Li
Guang-Can Guo
Alexander Streltsov
author_sort Marek Miller
collection DOAJ
description We demonstrate, both analytically and experimentally, the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For this, we consider a broad class of qubit evolutions, having a decoherence matrix separated from zero for large times. While any such Markovian evolution leads to an exponential loss of correlations, non-Markovianity can help to preserve correlations even in the limit t → ∞. In fact, under general assumptions, eternally non-Markovian evolution naturally emerges as the one that allows for optimal preservation of quantum correlations. For covariant qubit evolutions, we also show that non-Markovianity can be used to preserve quantum coherence at all times, which is an important resource for quantum metrology. We explicitly demonstrate this effect experimentally with linear optics, by implementing the optimal non-Markovian quantum evolution.
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spelling doaj.art-2521ad3f0fd3495890e0c66d873e9f9f2023-08-09T14:22:32ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124505302210.1088/1367-2630/ac6820Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamicsMarek Miller0Kang-Da Wu1Manfredi Scalici2Jan Kołodyński3https://orcid.org/0000-0001-8211-0016Guo-Yong Xiang4Chuan-Feng Li5https://orcid.org/0000-0001-6815-8929Guang-Can Guo6Alexander Streltsov7https://orcid.org/0000-0002-7742-5731Centre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw , Banacha 2c, 02-097 Warsaw, PolandCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, 230026, People’s Republic of ChinaCentre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw , Banacha 2c, 02-097 Warsaw, PolandCentre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw , Banacha 2c, 02-097 Warsaw, PolandCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, 230026, People’s Republic of ChinaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, 230026, People’s Republic of ChinaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, 230026, People’s Republic of ChinaCentre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw , Banacha 2c, 02-097 Warsaw, PolandWe demonstrate, both analytically and experimentally, the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For this, we consider a broad class of qubit evolutions, having a decoherence matrix separated from zero for large times. While any such Markovian evolution leads to an exponential loss of correlations, non-Markovianity can help to preserve correlations even in the limit t → ∞. In fact, under general assumptions, eternally non-Markovian evolution naturally emerges as the one that allows for optimal preservation of quantum correlations. For covariant qubit evolutions, we also show that non-Markovianity can be used to preserve quantum coherence at all times, which is an important resource for quantum metrology. We explicitly demonstrate this effect experimentally with linear optics, by implementing the optimal non-Markovian quantum evolution.https://doi.org/10.1088/1367-2630/ac6820non-Markovianityopen systemsquantum infoqubits
spellingShingle Marek Miller
Kang-Da Wu
Manfredi Scalici
Jan Kołodyński
Guo-Yong Xiang
Chuan-Feng Li
Guang-Can Guo
Alexander Streltsov
Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
New Journal of Physics
non-Markovianity
open systems
quantum info
qubits
title Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
title_full Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
title_fullStr Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
title_full_unstemmed Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
title_short Optimally preserving quantum correlations and coherence with eternally non-Markovian dynamics
title_sort optimally preserving quantum correlations and coherence with eternally non markovian dynamics
topic non-Markovianity
open systems
quantum info
qubits
url https://doi.org/10.1088/1367-2630/ac6820
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