Universal freezing of quantum correlations within the geometric approach

Marco Cianciaruso, Thomas R. Bromley, Wojciech Roga, Rosario Lo Franco, Gerardo Adesso

Research output: Contribution to journalArticle

58 Citations (Scopus)

Abstract

Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.
LanguageEnglish
Article number10177
Number of pages17
JournalScientific Reports
Volume5
DOIs
Publication statusPublished - 8 Jun 2015

Fingerprint

Geometric Approach
Freezing
freezing
convexity
exploitation
Contractivity
Quantum Channel
invariance
Transposition
Quantifiers
First-principles
Distance Function
Qubit
Exploitation
Convexity
Invariance
composite materials
Composite
Demonstrate

Keywords

  • quantum correlations
  • qbits
  • quantum mechanics
  • entanglement

Cite this

Cianciaruso, M., Bromley, T. R., Roga, W., Lo Franco, R., & Adesso, G. (2015). Universal freezing of quantum correlations within the geometric approach. Scientific Reports, 5, [10177]. https://doi.org/10.1038/srep10177
Cianciaruso, Marco ; Bromley, Thomas R. ; Roga, Wojciech ; Lo Franco, Rosario ; Adesso, Gerardo. / Universal freezing of quantum correlations within the geometric approach. In: Scientific Reports. 2015 ; Vol. 5.
@article{ff2a5d2e08a8456b813438b79ab17acb,
title = "Universal freezing of quantum correlations within the geometric approach",
abstract = "Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.",
keywords = "quantum correlations, qbits, quantum mechanics, entanglement",
author = "Marco Cianciaruso and Bromley, {Thomas R.} and Wojciech Roga and {Lo Franco}, Rosario and Gerardo Adesso",
year = "2015",
month = "6",
day = "8",
doi = "10.1038/srep10177",
language = "English",
volume = "5",
journal = "Scientific Reports",
issn = "2045-2322",

}

Cianciaruso, M, Bromley, TR, Roga, W, Lo Franco, R & Adesso, G 2015, 'Universal freezing of quantum correlations within the geometric approach' Scientific Reports, vol. 5, 10177. https://doi.org/10.1038/srep10177

Universal freezing of quantum correlations within the geometric approach. / Cianciaruso, Marco; Bromley, Thomas R.; Roga, Wojciech; Lo Franco, Rosario; Adesso, Gerardo.

In: Scientific Reports, Vol. 5, 10177, 08.06.2015.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Universal freezing of quantum correlations within the geometric approach

AU - Cianciaruso, Marco

AU - Bromley, Thomas R.

AU - Roga, Wojciech

AU - Lo Franco, Rosario

AU - Adesso, Gerardo

PY - 2015/6/8

Y1 - 2015/6/8

N2 - Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.

AB - Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.

KW - quantum correlations

KW - qbits

KW - quantum mechanics

KW - entanglement

UR - http://www.nature.com/articles/srep10177

U2 - 10.1038/srep10177

DO - 10.1038/srep10177

M3 - Article

VL - 5

JO - Scientific Reports

T2 - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 10177

ER -

Cianciaruso M, Bromley TR, Roga W, Lo Franco R, Adesso G. Universal freezing of quantum correlations within the geometric approach. Scientific Reports. 2015 Jun 8;5. 10177. https://doi.org/10.1038/srep10177