Entanglement production by independent quantum channels

O. Legeza, Florian Gebhard, Jörg Rissler

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

For the one-dimensional Hubbard model subject to periodic boundary conditions we construct a unitary transformation between basis states so that open boundary conditions apply for the transformed Hamiltonian. Despite the fact that the one-particle and two-particle interaction matrices link nearest and next-nearest neighbors only, the performance of the density-matrix renormalization-group (DMRG) method for the transformed Hamiltonian does not improve. Some of the new interactions act as independent quantum channels, which generate the same level of entanglement as periodic boundary conditions in the original formulation of the Hubbard model. We provide a detailed analysis of these channels and show that, apart from locality of the interactions, the performance of DMRG is effected significantly by the number and the strength of the quantum channels that entangle the DMRG blocks.

Original languageEnglish
Article number195112
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume74
Issue number19
DOIs
Publication statusPublished - 2006

Fingerprint

boundary conditions
Hamiltonians
Hubbard model
Boundary conditions
renormalization group methods
particle interactions
Particle interactions
interactions
formulations
matrices

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Entanglement production by independent quantum channels. / Legeza, O.; Gebhard, Florian; Rissler, Jörg.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 74, No. 19, 195112, 2006.

Research output: Contribution to journalArticle

@article{098187d90a3f44c7a0bce4d3f9549a2f,
title = "Entanglement production by independent quantum channels",
abstract = "For the one-dimensional Hubbard model subject to periodic boundary conditions we construct a unitary transformation between basis states so that open boundary conditions apply for the transformed Hamiltonian. Despite the fact that the one-particle and two-particle interaction matrices link nearest and next-nearest neighbors only, the performance of the density-matrix renormalization-group (DMRG) method for the transformed Hamiltonian does not improve. Some of the new interactions act as independent quantum channels, which generate the same level of entanglement as periodic boundary conditions in the original formulation of the Hubbard model. We provide a detailed analysis of these channels and show that, apart from locality of the interactions, the performance of DMRG is effected significantly by the number and the strength of the quantum channels that entangle the DMRG blocks.",
author = "O. Legeza and Florian Gebhard and J{\"o}rg Rissler",
year = "2006",
doi = "10.1103/PhysRevB.74.195112",
language = "English",
volume = "74",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "19",

}

TY - JOUR

T1 - Entanglement production by independent quantum channels

AU - Legeza, O.

AU - Gebhard, Florian

AU - Rissler, Jörg

PY - 2006

Y1 - 2006

N2 - For the one-dimensional Hubbard model subject to periodic boundary conditions we construct a unitary transformation between basis states so that open boundary conditions apply for the transformed Hamiltonian. Despite the fact that the one-particle and two-particle interaction matrices link nearest and next-nearest neighbors only, the performance of the density-matrix renormalization-group (DMRG) method for the transformed Hamiltonian does not improve. Some of the new interactions act as independent quantum channels, which generate the same level of entanglement as periodic boundary conditions in the original formulation of the Hubbard model. We provide a detailed analysis of these channels and show that, apart from locality of the interactions, the performance of DMRG is effected significantly by the number and the strength of the quantum channels that entangle the DMRG blocks.

AB - For the one-dimensional Hubbard model subject to periodic boundary conditions we construct a unitary transformation between basis states so that open boundary conditions apply for the transformed Hamiltonian. Despite the fact that the one-particle and two-particle interaction matrices link nearest and next-nearest neighbors only, the performance of the density-matrix renormalization-group (DMRG) method for the transformed Hamiltonian does not improve. Some of the new interactions act as independent quantum channels, which generate the same level of entanglement as periodic boundary conditions in the original formulation of the Hubbard model. We provide a detailed analysis of these channels and show that, apart from locality of the interactions, the performance of DMRG is effected significantly by the number and the strength of the quantum channels that entangle the DMRG blocks.

UR - http://www.scopus.com/inward/record.url?scp=33751086159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751086159&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.74.195112

DO - 10.1103/PhysRevB.74.195112

M3 - Article

AN - SCOPUS:33751086159

VL - 74

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 19

M1 - 195112

ER -