Finite-dimensional spin glass and quantum error correcting code

Koujin Takeda; Tomohiro Sasamoto; Hidetoshi Nishimori

doi:10.1016/j.physe.2005.06.061

Finite-dimensional spin glass and quantum error correcting code

Koujin Takeda, Tomohiro Sasamoto, Hidetoshi Nishimori

Research output: Contribution to journal › Article › peer-review

Abstract

We study a variety of spin systems with randomness in order to investigate the performance of the quantum error correcting codes. We show that the duality formalism is useful to search the locations of the critical points for the random spin systems, which gives us the clue to the exact values of the accuracy thresholds for the topological error correcting codes.

Original language	English
Pages (from-to)	720-724
Number of pages	5
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	29
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physe.2005.06.061
Publication status	Published - 2005 Nov
Externally published	Yes

Keywords

Duality
Error correcting code
Phase transition
Quantum information
Random spin system
Spin glass

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

Access to Document

10.1016/j.physe.2005.06.061

Cite this

@article{cd348851e092425cbd22c4eb958571eb,

title = "Finite-dimensional spin glass and quantum error correcting code",

abstract = "We study a variety of spin systems with randomness in order to investigate the performance of the quantum error correcting codes. We show that the duality formalism is useful to search the locations of the critical points for the random spin systems, which gives us the clue to the exact values of the accuracy thresholds for the topological error correcting codes.",

keywords = "Duality, Error correcting code, Phase transition, Quantum information, Random spin system, Spin glass",

author = "Koujin Takeda and Tomohiro Sasamoto and Hidetoshi Nishimori",

note = "Funding Information: The authors would like to thank Y. Ozeki and T. Nakamura for their suggestions and advice on the numerical calculation, and T. Hamasaki for his useful comments. This work was supported by the 21st Century COE Program at Tokyo Institute of Technology “Nanometer-Scale Quantum Physics” and the Grant-in-Aid for Scientific Research on Priority Area “Statistical-Mechanical Approach to Probabilistic Information Processing”. T.S. is also supported by the Grant-in-Aid for Young Scientists (B), the Ministry of Education, Culture, Sports, Science and Technology, Japan.",

year = "2005",

month = nov,

doi = "10.1016/j.physe.2005.06.061",

language = "English",

volume = "29",

pages = "720--724",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier",

number = "3-4",

}

TY - JOUR

T1 - Finite-dimensional spin glass and quantum error correcting code

AU - Takeda, Koujin

AU - Sasamoto, Tomohiro

AU - Nishimori, Hidetoshi

N1 - Funding Information: The authors would like to thank Y. Ozeki and T. Nakamura for their suggestions and advice on the numerical calculation, and T. Hamasaki for his useful comments. This work was supported by the 21st Century COE Program at Tokyo Institute of Technology “Nanometer-Scale Quantum Physics” and the Grant-in-Aid for Scientific Research on Priority Area “Statistical-Mechanical Approach to Probabilistic Information Processing”. T.S. is also supported by the Grant-in-Aid for Young Scientists (B), the Ministry of Education, Culture, Sports, Science and Technology, Japan.

PY - 2005/11

Y1 - 2005/11

N2 - We study a variety of spin systems with randomness in order to investigate the performance of the quantum error correcting codes. We show that the duality formalism is useful to search the locations of the critical points for the random spin systems, which gives us the clue to the exact values of the accuracy thresholds for the topological error correcting codes.

AB - We study a variety of spin systems with randomness in order to investigate the performance of the quantum error correcting codes. We show that the duality formalism is useful to search the locations of the critical points for the random spin systems, which gives us the clue to the exact values of the accuracy thresholds for the topological error correcting codes.

KW - Duality

KW - Error correcting code

KW - Phase transition

KW - Quantum information

KW - Random spin system

KW - Spin glass

UR - http://www.scopus.com/inward/record.url?scp=26944496793&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26944496793&partnerID=8YFLogxK

U2 - 10.1016/j.physe.2005.06.061

DO - 10.1016/j.physe.2005.06.061

M3 - Article

AN - SCOPUS:26944496793

SN - 1386-9477

VL - 29

SP - 720

EP - 724

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 3-4

ER -

Finite-dimensional spin glass and quantum error correcting code

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this