Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73613371" target="_blank" >RIV/61989592:15310/22:73613371 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.105.062419" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.105.062419</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.105.062419" target="_blank" >10.1103/PhysRevA.105.062419</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states

Popis výsledku v původním jazyce

We provide a proof that entanglement of any density matrix which is block diagonal in subspaces which are disjoint in terms of the Hilbert space of one of the two potentially entangled subsystems can simply be calculated as the weighted average of entanglement present within each block. This is especially useful for thermal-equilibrium states which always inherit the symmetries present in the Hamiltonian, since block-diagonal Hamiltonians are common, as are interactions which involve only a single degree of freedom of a greater system. We exemplify our method on a simple Hamiltonian, showing the diversity in possible temperature dependences of Gibbs state entanglement which can emerge in different parameter ranges.

Název v anglickém jazyce

Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states

Popis výsledku anglicky

We provide a proof that entanglement of any density matrix which is block diagonal in subspaces which are disjoint in terms of the Hilbert space of one of the two potentially entangled subsystems can simply be calculated as the weighted average of entanglement present within each block. This is especially useful for thermal-equilibrium states which always inherit the symmetries present in the Hamiltonian, since block-diagonal Hamiltonians are common, as are interactions which involve only a single degree of freedom of a greater system. We exemplify our method on a simple Hamiltonian, showing the diversity in possible temperature dependences of Gibbs state entanglement which can emerge in different parameter ranges.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

<a href="/cs/project/GA20-16577S" target="_blank" >GA20-16577S: Hybridní kvantová fyzika při nízkých teplotách</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

2469-9934

Svazek periodika

105

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

"062419-1"-"062419-12"

Kód UT WoS článku

000830951300007

EID výsledku v databázi Scopus

2-s2.0-85133334194