Efficient quantum error correction for fully correlated noise

被引：19

作者：

Li, Chi-Kwong ^{[1
,6
]}

Nakahara, Mikio ^{[2
,3
]}

Poon, Yiu-Tung ^{[4
]}

Sze, Nung-Sing ^{[5
]}

Tomita, Hiroyuki ^{[2
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Kinki Univ, Interdisciplinary Grad Sch Sci & Engn, Res Ctr Quantum Comp, Higashi Osaka 5778502, Japan

[3] Kinki Univ, Dept Phys, Higashi Osaka 5778502, Japan

[4] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[5] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[6] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

PHYSICS LETTERS A | 2011年 / 375卷 / 37期

基金：

美国国家科学基金会;

关键词：

Quantum error correction; Higher rank numerical range; Recovery operator; Mixed unitary channel; RANK NUMERICAL RANGES; CODES;

D O I：

10.1016/j.physleta.2011.07.027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate an efficient quantum error correction of a fully correlated noise. Suppose the noise is characterized by a quantum channel whose error operators take fully correlated forms given by sigma(circle times n)(x), sigma(circle times n)(y) and sigma(circle times n)(2), where n > 2 is the number of qubits encoding the codeword. It is proved that (i) n qubits codeword encodes (n - 1) data qubits when n is odd and (ii) n qubits codeword implements an error-free encoding, which encode (n - 2) data qubits when n is even. Quantum circuits implementing these schemes are constructed. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：3255 / 3258

页数：4