Detected-jump-error-correcting quantum codes, quantum error designs, and quantum computation
- Institut fuer Angewandte Physik, Technische Universitaet Darmstadt, D-64289 Darmstadt, (Germany)
- Institut fuer Algorithmen und Kognitive Systeme, Universitaet Karlsruhe, D-76128, (Germany)
- Department of Computer Science and Software Engineering, University of Melbourne, Parkville, Victoria 3052, (Australia)
- Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA (United States)
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 nonideal conditions is studied numerically by simulating a quantum memory and Grover's algorithm.
- OSTI ID:
- 20639882
- Journal Information:
- Physical Review. A, Vol. 68, Issue 1; Other Information: DOI: 10.1103/PhysRevA.68.012316; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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