Decoherence-free quantum information in the presence of dynamical evolution

TY - JOUR

T1 - Decoherence-free quantum information in the presence of dynamical evolution

AU - Brooke, Peter G.

AU - Cresser, James D.

AU - Patra, Manas K.

PY - 2008/6/11

Y1 - 2008/6/11

N2 - 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 similar to 2/9N 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.

AB - 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 similar to 2/9N 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.

KW - FREE SUBSPACES

KW - COMPUTATION

KW - DISSIPATION

KW - MEMORY

KW - CODES

KW - BITS

UR - http://www.scopus.com/inward/record.url?scp=45249097780&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.77.062313

DO - 10.1103/PhysRevA.77.062313

M3 - Article

SN - 1050-2947

VL - 77

SP - -

JO - Physical Review A

JF - Physical Review A

IS - 6

M1 - 062313

ER -