Genuine correlated coherence

Tristan Kraft, Marco Piani

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We introduce a notion of genuine correlated coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present in a distributed system, by making use of incoherent unitary transformations. We define an entropic quantifier of genuine correlated multipartite coherence for generic mixed states, and we focus on the bipartite pure-state case. In the latter case we derive necessary and sufficient conditions for the possibility of fully localizing the coherence, hence identifying the conditions for genuine correlated bipartite coherence. We analyze in detail the quantitative problem for the case of two-qubit pure states, identifying the states with the largest amount of genuine correlated coherence. Interestingly, such states do not have maximal global coherence nor maximal coherence rank.
LanguageEnglish
Article number414013
Number of pages14
JournalJournal of Physics A: Mathematical and Theoretical
Volume51
Issue number41
DOIs
Publication statusPublished - 14 Sep 2018

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Pure State
Unitary transformation
Mixed State
concentrating
Quantifiers
Qubit
Distributed Systems
Necessary Conditions
Sufficient Conditions

Keywords

  • correlated coherence
  • quantum coherence
  • quantum information processing

Cite this

Kraft, Tristan ; Piani, Marco. / Genuine correlated coherence. In: Journal of Physics A: Mathematical and Theoretical. 2018 ; Vol. 51, No. 41.
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Genuine correlated coherence. / Kraft, Tristan; Piani, Marco.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 51, No. 41, 414013, 14.09.2018.

Research output: Contribution to journalArticle

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AU - Piani, Marco

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AB - We introduce a notion of genuine correlated coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present in a distributed system, by making use of incoherent unitary transformations. We define an entropic quantifier of genuine correlated multipartite coherence for generic mixed states, and we focus on the bipartite pure-state case. In the latter case we derive necessary and sufficient conditions for the possibility of fully localizing the coherence, hence identifying the conditions for genuine correlated bipartite coherence. We analyze in detail the quantitative problem for the case of two-qubit pure states, identifying the states with the largest amount of genuine correlated coherence. Interestingly, such states do not have maximal global coherence nor maximal coherence rank.

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KW - quantum coherence

KW - quantum information processing

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