Decoherence-free quantum information in the presence of dynamical evolution

Peter G. Brooke, James D. Cresser, Manas K. Patra

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Abstract

We analyze decoherence-free (DF) quantum information in the presence of an arbitrary non-nearest-neighbor bath-induced system Hamiltonian using a Markovian master equation. We show that the most appropriate encoding for N qubits is probably contained within the ∼ 2 9 N excitation subspace. We give a time scale over which one would expect to apply other methods to correct for the system Hamiltonian. In order to remain applicable to experiment, we then focus on small systems, and present examples of DF quantum information for three and four qubits. We give an encoding for four qubits that, while quantum information remains in the two-excitation subspace, protects against an arbitrary bath-induced system Hamiltonian. Although our results are general to any system of qubits that satisfies our assumptions, throughout the paper we use dipole-coupled qubits as an example physical system.

Original languageEnglish
Article number062313
Pages (from-to)1-8
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number6
DOIs
Publication statusPublished - 11 Jun 2008

Bibliographical note

Brooke PG, Cresser JD and Patra MK, Phys. Rev. A, 77(6), 062313, 2008. Copyright (2008) by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevA.77.062313.

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