Physics – Quantum Physics
Scientific paper
2002-08-22
Physical Review A, vol. 68, no. 1, July 2003, 012316
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.68.012316
The recently introduced detected-jump correcting quantum codes are capable of stabilizing qubit-systems against spontaneous decay processes arising from couplings to statistically independent reservoirs. These embedded quantum codes exploit classical information about which qubit has emitted spontaneously and correspond to an active error-correcting code embedded in a passive error-correcting code. The construction of a family of one detected jump-error correcting quantum codes is shown and the optimal redundancy, encoding and recovery as well as general properties of detected jump-error correcting quantum codes are discussed. By the use of design theory multiple jump-error correcting quantum codes can be constructed. The performance of one jump-error correcting quantum codes under non-ideal conditions is studied numerically by simulating a quantum memory and Grover's algorithm.
Alber Gernot
Beth Th.
Charnes Ch.
Delgado Antonio
Grassl Markus
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