Protecting quantum information encoded in decoherence-free states against exchange errors

Daniel A. Lidar, David Bacon, Julia Kempe, K. Birgitta Whaley

Research output: Contribution to journalArticle

Abstract

The exchange interaction between identical qubits in a quantum-information processor gives rise to unitary two-qubit errors. It is shown here that decoherence-free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which, however, do not take the decoherence-free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS quantum-error-correcting code scheme [D. A. Lidar, D. Bacon, and K.B. Whaley, Phys. Rev. Lett. 82, 4556 (1999)].

Original languageEnglish (US)
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume61
Issue number5
DOIs
StatePublished - Jan 1 2000

Fingerprint

error correcting codes
central processing units
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Protecting quantum information encoded in decoherence-free states against exchange errors. / Lidar, Daniel A.; Bacon, David; Kempe, Julia; Birgitta Whaley, K.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 61, No. 5, 01.01.2000.

Research output: Contribution to journalArticle

Lidar, Daniel A. ; Bacon, David ; Kempe, Julia ; Birgitta Whaley, K. / Protecting quantum information encoded in decoherence-free states against exchange errors. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2000 ; Vol. 61, No. 5.
@article{0ec2548781b64e1c9b71c7a649e7a26c,
title = "Protecting quantum information encoded in decoherence-free states against exchange errors",
abstract = "The exchange interaction between identical qubits in a quantum-information processor gives rise to unitary two-qubit errors. It is shown here that decoherence-free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which, however, do not take the decoherence-free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS quantum-error-correcting code scheme [D. A. Lidar, D. Bacon, and K.B. Whaley, Phys. Rev. Lett. 82, 4556 (1999)].",
author = "Lidar, {Daniel A.} and David Bacon and Julia Kempe and {Birgitta Whaley}, K.",
year = "2000",
month = "1",
day = "1",
doi = "10.1103/PhysRevA.61.052307",
language = "English (US)",
volume = "61",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Protecting quantum information encoded in decoherence-free states against exchange errors

AU - Lidar, Daniel A.

AU - Bacon, David

AU - Kempe, Julia

AU - Birgitta Whaley, K.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The exchange interaction between identical qubits in a quantum-information processor gives rise to unitary two-qubit errors. It is shown here that decoherence-free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which, however, do not take the decoherence-free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS quantum-error-correcting code scheme [D. A. Lidar, D. Bacon, and K.B. Whaley, Phys. Rev. Lett. 82, 4556 (1999)].

AB - The exchange interaction between identical qubits in a quantum-information processor gives rise to unitary two-qubit errors. It is shown here that decoherence-free subspaces (DFSs) for collective decoherence undergo Pauli errors under exchange, which, however, do not take the decoherence-free states outside of the DFS. In order to protect DFSs against these errors it is sufficient to employ a recently proposed concatenated DFS quantum-error-correcting code scheme [D. A. Lidar, D. Bacon, and K.B. Whaley, Phys. Rev. Lett. 82, 4556 (1999)].

UR - http://www.scopus.com/inward/record.url?scp=85037210187&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037210187&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.61.052307

DO - 10.1103/PhysRevA.61.052307

M3 - Article

VL - 61

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

ER -