Clifford gates by code deformation

被引：54

作者：

Bombin, H. ^{[1
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

NEW JOURNAL OF PHYSICS | 2011年 / 13卷

关键词：

ERROR-CORRECTING CODES; QUANTUM; MEMORY;

D O I：

10.1088/1367-2630/13/4/043005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Topological subsystem color codes add an important feature to the advantages of topological codes: error tracking only involves measuring two local operators in a two-dimensional setting. Unfortunately, currently known methods for computing with them are highly unpractical. We give a mechanism for implementing all Clifford gates by code deformation in a planar setting. In particular, we use twist braiding and express its effects in terms of certain colored Majorana operators.

引用

页数：13

共 27 条

[1] AHARONOV D, 1997, P 29 ANN ACM S THEOR, P188
[2] Operator quantum error-correcting subsystems for self-correcting quantum memories
Bacon, D
[J]. PHYSICAL REVIEW A, 2006, 73 (01):
[3] BEIGI S, 2010, ARXIV10024930
[4] Topological computation without braiding
Bombin, H.
Martin-Delgado, M. A.
[J]. PHYSICAL REVIEW LETTERS, 2007, 98 (16)
[5] Topological quantum distillation
Bombin, H.
Martin-Delgado, M. A.
[J]. PHYSICAL REVIEW LETTERS, 2006, 97 (18)
[6] Topological Order with a Twist: Ising Anyons from an Abelian Model
Bombin, H.
[J]. PHYSICAL REVIEW LETTERS, 2010, 105 (03)
[7] Topological subsystem codes
Bombin, H.
[J]. PHYSICAL REVIEW A, 2010, 81 (03):
[8] Quantum measurements and gates by code deformation
Bombin, H.
Martin-Delgado, M. A.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (09)
[9] Universal quantum computation with the ν=5/2 fractional quantum Hall state
Bravyi, S
[J]. PHYSICAL REVIEW A, 2006, 73 (04):
[10] Universal quantum computation with ideal Clifford gates and noisy ancillas
Bravyi, S
Kitaev, A
[J]. PHYSICAL REVIEW A, 2005, 71 (02):

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