Quantum information approach to the Ising model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F04%3A00010771" target="_blank" >RIV/00216224:14330/04:00010771 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Quantum information approach to the Ising model

Original language description

Simple physical interactions between spin-1/2 particles may result in quantum states that exhibit exotic correlations that are difficult to find if one simply explores state spaces of multipartite systems. In particular, we present a detailed investigation of the well-known Ising model of a chain (ring) of spin-1/2 particles (qubits) in a transverse magnetic field. We present explicit expressions for eigenstates of the model Hamiltonian for arbitrary number of spin-1/2 particles in the chain in the standard (computer) basis, and we investigate quantum entanglement between individual qubits. We analyze bipartite as well as multipartite entanglement in the ground state of the model. In particular, we show that bipartite entanglement between pairs of qubits of the Ising chain (measured in terms of a concurrence) as a function of the parameter has a maximum around the point = 1, and it monotonically decreases for large values of . We prove that in the limit this state is locally unitary eq

Czech name

Kvantově informatický přístup k Isingovu modelu

Czech description

V článku navrhujeme a podrobně analyzujeme kvantově informatický přístup k Isingovu modelu.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F01%2F0413" target="_blank" >GA201/01/0413: Quantum information processing</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2004

Confidentiality

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

Name of the periodical

Physical Review A

ISSN

1050-2947

e-ISSN

—

Volume of the periodical

70

Issue of the periodical within the volume

032313

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

—

UT code for WoS article

—

EID of the result in the Scopus database

—