Thermodynamic stability criteria for a quantum memory based on stabilizer and subsystem codes

Stefano Chesi, Daniel Loss, Sergey Bravyi, Barbara Terhal

Research output: Contribution to journalArticleScientificpeer-review

35 Citations (Scopus)

Abstract

We discuss several thermodynamic criteria that have been introduced to characterize the thermal stability of a self-correcting quantum memory. We first examine the use of symmetry-breaking fields in analyzing the properties of self-correcting quantum memories in the thermodynamic limit; we show that the thermal expectation values of all logical operators vanish for any stabilizer and any subsystem code in any spatial dimension. On the positive side, we generalize the results of Alicki et al to obtain a general upper bound on the relaxation rate of a quantum memory at nonzero temperature, assuming that the quantum memory interacts via a Markovian master equation with a thermal bath. This upper bound is applicable to quantum memories based on either stabilizer or subsystem codes.

Original languageEnglish
Article number025013
Number of pages22
JournalNew Journal of Physics
Volume12
DOIs
Publication statusPublished - 2010
Externally publishedYes

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