Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/27276
Title: Efficient quantum error correction for fully correlated noise
Authors: Li, CK
Nakahara, M
Poon, YT
Sze, NS 
Tomita, H
Keywords: Higher rank numerical range
Mixed unitary channel
Quantum error correction
Recovery operator
Issue Date: 2011
Publisher: Elsevier Science Bv
Source: Physics letters, section a : general, atomic and solid state physics, 2011, v. 375, no. 37, p. 3255-3258 How to cite?
Journal: Physics Letters, Section A: General, Atomic and Solid State Physics 
Abstract: 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 σ x ⊗n, σ y ⊗n and σ z ⊗n, 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.
URI: http://hdl.handle.net/10397/27276
DOI: 10.1016/j.physleta.2011.07.027
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