Surface Code Threshold in the Presence of Correlated Errors

被引：31

作者：

Novais, E. ^{[1
]}

Mucciolo, Eduardo R. ^{[2
]}

机构：

[1] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210170 Sao Paulo, Brazil

[2] Univ Cent Florida, Dept Phys, Orlando, FL 32816 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.110.010502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the fidelity of the surface code in the presence of correlated errors induced by the coupling of physical qubits to a bosonic environment. By mapping the time evolution of the system after one quantum error correction cycle onto a statistical spin model, we show that the existence of an error threshold is related to the appearance of an order-disorder phase transition in the statistical model in the thermodynamic limit. This allows us to relate the error threshold to bath parameters and to the spatial range of the correlated errors. DOI:10.1103/PhysRevLett.110.010502

引用

页数：5

共 18 条

[1] Strong Resilience of Topological Codes to Depolarization
Bombin, H.
Andrist, Ruben S.
Ohzeki, Masayuki
Katzgraber, Helmut G.
Martin-Delgado, M. A.
[J]. PHYSICAL REVIEW X, 2012, 2 (02):
[2] Quantum-error correction and orthogonal geometry
Calderbank, AR
Rains, EM
Shor, PW
Sloane, NJA
[J]. PHYSICAL REVIEW LETTERS, 1997, 78 (03) : 405 - 408
[3] Topological quantum memory
Dennis, E
Kitaev, A
Landahl, A
Preskill, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (09) : 4452 - 4505
[4] Fault-tolerant architectures for superconducting qubits
DiVincenzo, David P.
[J]. PHYSICA SCRIPTA, 2009, T137
[5] Fowler AG, 2011, QUANTUM INF COMPUT, V11, P8
[6] Class of quantum error-correcting codes saturating the quantum Hamming hound
Gottesman, D
[J]. PHYSICAL REVIEW A, 1996, 54 (03): : 1862 - 1868
[7] INTRODUCTION TO LATTICE GAUGE-THEORY AND SPIN SYSTEMS
KOGUT, JB
[J]. REVIEWS OF MODERN PHYSICS, 1979, 51 (04) : 659 - 713
[8] LOPEZ DM, IN PRESS
[9] Madras N., 1996, The Self-Avoiding Walk
[10] Fault-tolerant quantum computation versus Gaussian noise
Ng, Hui Khoon
Preskill, John
[J]. PHYSICAL REVIEW A, 2009, 79 (03):

← 1 2 →