Recursive encoding and decoding of the noiseless subsystem and decoherence-free subspace

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4862

Title:	Recursive encoding and decoding of the noiseless subsystem and decoherence-free subspace
Authors:	Li, CK Nakahara, M Poon, YT Sze, NS Tomita, H
Issue Date:	Oct-2011
Source:	Physical review. A, Atomic, molecular, and optical physics, Oct. 2011, v. 84, no. 4, 044301, p. 1-4
Abstract:	When an environmental disturbance to a quantum system has a wavelength much larger than the system size, all qubits in the system are under the action of the same error operator. The noiseless subsystem and decoherence-free subspace are immune to such collective noise. We construct simple quantum circuits that implement these error-avoiding codes for a small number n of physical qubits. A single logical qubit is encoded with n=3 and 4, while two and three logical qubits are encoded with n=5 and 7, respectively. Recursive relations among subspaces employed in these codes play essential roles in our implementation.
Keywords:	Logic gates Quantum electronics Quantum optics
Publisher:	American Physical Society
Journal:	Physical review. A, Atomic, molecular, and optical physics
ISSN:	1050-2947
EISSN:	1094-1622
DOI:	10.1103/PhysRevA.84.044301
Rights:	Physical Review A © 2011 The American Physical Society. The Journal's web site is located at http://pra.aps.org/
Appears in Collections:	Journal/Magazine Article

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