Genuine correlated coherence

Tristan Kraft; Marco Piani

doi:10.1088/1751-8121/aab8ad

Genuine correlated coherence

Tristan Kraft, Marco Piani

Physics

Research output: Contribution to journal › Article

3 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.

Language	English
Article number	414013
Number of pages	14
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	51
Issue number	41
DOIs	10.1088/1751-8121/aab8ad
Publication status	Published - 14 Sep 2018

Fingerprint

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, T., & Piani, M. (2018). Genuine correlated coherence. Journal of Physics A: Mathematical and Theoretical, 51(41), [414013]. https://doi.org/10.1088/1751-8121/aab8ad

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

@article{6a4282e2d0d7402da6887da43463ebb1,

title = "Genuine correlated coherence",

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.",

keywords = "correlated coherence, quantum coherence, quantum information processing",

author = "Tristan Kraft and Marco Piani",

year = "2018",

month = "9",

day = "14",

doi = "10.1088/1751-8121/aab8ad",

language = "English",

volume = "51",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "0305-4470",

number = "41",

}

Kraft, T & Piani, M 2018, 'Genuine correlated coherence' Journal of Physics A: Mathematical and Theoretical, vol. 51, no. 41, 414013. https://doi.org/10.1088/1751-8121/aab8ad

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 journal › Article

TY - JOUR

T1 - Genuine correlated coherence

AU - Kraft, Tristan

AU - Piani, Marco

PY - 2018/9/14

Y1 - 2018/9/14

N2 - 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.

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.

KW - correlated coherence

KW - quantum coherence

KW - quantum information processing

UR - http://iopscience.iop.org/journal/1751-8121

U2 - 10.1088/1751-8121/aab8ad

DO - 10.1088/1751-8121/aab8ad

M3 - Article

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

T2 - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 0305-4470