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Markovian evolution of quantum coherence under symmetric dynamics

Lostaglio, Matteo; Korzekwa, Kamil and Milne, Antony. 2017. Markovian evolution of quantum coherence under symmetric dynamics. Physical Review A, ISSN 2469-9926 [Article]

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Abstract or Description

Both conservation laws and practical restrictions impose symmetry constraints on the dynamics of open quantum systems. In the case of time-translation symmetry, which arises naturally in many physically relevant scenarios, the quantum coherence between energy eigenstates becomes a valuable resource for quantum information processing. In this work we identify the minimum amount of decoherence compatible with this symmetry for a given population dynamics. This yields a generalisation to higher-dimensional systems of the relation T2 2T1 for qubit decoherence and relaxation times. It also enables us to witness and assess the role of non-Markovianity as a resource for coherence preservation and transfer. Moreover, we discuss the relationship between ergodicity
and the ability of Markovian dynamics to indenitely sustain a superposition of diferent energy
states. Finally, we establish a formal connection between the resource-theoretic and the master equation approaches to thermodynamics, with the former being a non-Markovian generalisation of
the latter. Our work thus brings the abstract study of quantum coherence as a resource towards the realm of actual physical applications.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1103/PhysRevA.96.032109

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
4 July 2017Accepted
11 September 2017Published

Item ID:

24822

Date Deposited:

20 Nov 2018 18:43

Last Modified:

21 Nov 2018 17:38

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

http://research.gold.ac.uk/id/eprint/24822

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