dorsal/arxiv
View SchemaInformation-theoretic approach to quantum error correction and reversible measurement
| Authors | M. A. Nielsen, Carlton M. Caves, Benjamin Schumacher, Howard Barnum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706064 |
| URL | https://arxiv.org/abs/quant-ph/9706064 |
| DOI | 10.1098/rspa.1998.0160 |
Abstract
Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ``Maxwell demon,'' for which there is an entropy cost associated with information obtained from measurements performed during error correction. A prescription for thermodynamically efficient error correction is given.
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"abstract": "Quantum operations provide a general description of the state changes allowed\nby quantum mechanics. The reversal of quantum operations is important for\nquantum error-correcting codes, teleportation, and reversing quantum\nmeasurements. We derive information-theoretic conditions and equivalent\nalgebraic conditions that are necessary and sufficient for a general quantum\noperation to be reversible. We analyze the thermodynamic cost of error\ncorrection and show that error correction can be regarded as a kind of\n``Maxwell demon,\u0027\u0027 for which there is an entropy cost associated with\ninformation obtained from measurements performed during error correction. A\nprescription for thermodynamically efficient error correction is given.",
"arxiv_id": "quant-ph/9706064",
"authors": [
"M. A. Nielsen",
"Carlton M. Caves",
"Benjamin Schumacher",
"Howard Barnum"
],
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"quant-ph"
],
"doi": "10.1098/rspa.1998.0160",
"title": "Information-theoretic approach to quantum error correction and reversible measurement",
"url": "https://arxiv.org/abs/quant-ph/9706064"
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