dorsal/arxiv
View SchemaQuantum MacWilliams Identities
| Authors | Peter Shor, Raymond Laflamme |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610040 |
| URL | https://arxiv.org/abs/quant-ph/9610040 |
Abstract
We derive a relationship between two different notions of fidelity (entanglement fidelity and average fidelity) for a completely depolarizing quantum channel. This relationship gives rise to a quantum analog of the MacWilliams identities in classical coding theory. These identities relate the weight enumerator of a code to the one of its dual and, with linear programming techniques, provided a powerful tool to investigate the possible existence of codes. The same techniques can be adapted to the quantum case. We give examples of their power.
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"abstract": "We derive a relationship between two different notions of fidelity\n(entanglement fidelity and average fidelity) for a completely depolarizing\nquantum channel. This relationship gives rise to a quantum analog of the\nMacWilliams identities in classical coding theory. These identities relate the\nweight enumerator of a code to the one of its dual and, with linear programming\ntechniques, provided a powerful tool to investigate the possible existence of\ncodes. The same techniques can be adapted to the quantum case. We give examples\nof their power.",
"arxiv_id": "quant-ph/9610040",
"authors": [
"Peter Shor",
"Raymond Laflamme"
],
"categories": [
"quant-ph"
],
"title": "Quantum MacWilliams Identities",
"url": "https://arxiv.org/abs/quant-ph/9610040"
},
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