On thermal stability of topological qubit in Kitaev's 4D model

R Alicki; Michał Horodecki; Paweł Horodecki; Ryszard Horodecki

doi:10.1142/s1230161210000023

On thermal stability of topological qubit in Kitaev's 4D model

Abstract

We analyse stability of the four-dimensional Kitaev model-a candidate for scalable quantum memory - in finite temperature within the weak coupling Markovian limit. It is shown that, below a critical temperature, certain topological qubit observables X and Z possess relaxation times exponentially long in the size of the system. Their construction involves polynomial in system size algorithm which uses as an input the results of measurements performed on all individual spins. We also discuss the drawbacks of such candidate for quantum memory and mention the implications of the stability of qubit for statistical mechanics.

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Keywords

TOLERANT QUANTUM COMPUTATION

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: OPEN SYSTEMS & INFORMATION DYNAMICS no. 17, pages 1 - 20,
ISSN: 1230-1612
Language:: English
Publication year:: 2010
Bibliographic description:: Alicki R., Horodecki M., Horodecki P., Horodecki R.: On thermal stability of topological qubit in Kitaev's 4D model// OPEN SYSTEMS & INFORMATION DYNAMICS. -Vol. 17, nr. Iss. 1 (2010), s.1-20
DOI:: Digital Object Identifier (open in new tab) 10.1142/s1230161210000023
Verified by:: Gdańsk University of Technology