dorsal/arxiv
View SchemaDetected jump-error correcting quantum codes, quantum error designs and quantum computation
| Authors | G. Alber, Th. Beth, Ch. Charnes, A. Delgado, M. Grassl, M. Mussinger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208140 |
| URL | https://arxiv.org/abs/quant-ph/0208140 |
| DOI | 10.1103/PhysRevA.68.012316 |
| Journal | Physical Review A, vol. 68, no. 1, July 2003, 012316 |
Abstract
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.
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"abstract": "The recently introduced detected-jump correcting quantum codes are capable of\nstabilizing qubit-systems against spontaneous decay processes arising from\ncouplings to statistically independent reservoirs. These embedded quantum codes\nexploit classical information about which qubit has emitted spontaneously and\ncorrespond to an active error-correcting code embedded in a passive\nerror-correcting code. The construction of a family of one detected jump-error\ncorrecting quantum codes is shown and the optimal redundancy, encoding and\nrecovery as well as general properties of detected jump-error correcting\nquantum codes are discussed. By the use of design theory multiple jump-error\ncorrecting quantum codes can be constructed. The performance of one jump-error\ncorrecting quantum codes under non-ideal conditions is studied numerically by\nsimulating a quantum memory and Grover\u0027s algorithm.",
"arxiv_id": "quant-ph/0208140",
"authors": [
"G. Alber",
"Th. Beth",
"Ch. Charnes",
"A. Delgado",
"M. Grassl",
"M. Mussinger"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.012316",
"journal_ref": "Physical Review A, vol. 68, no. 1, July 2003, 012316",
"title": "Detected jump-error correcting quantum codes, quantum error designs and quantum computation",
"url": "https://arxiv.org/abs/quant-ph/0208140"
},
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