Locally Decodable Quantum Codes
| dc.creator | Briët, Jop | |
| dc.creator | de Wolf, Ronald | |
| dc.date | 2008-06-12 | |
| dc.date.accessioned | 2026-07-07T09:44:14Z | |
| dc.date.available | 2026-07-07T09:44:14Z | |
| dc.description | We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that each of the encoded bits can be recovered with high probability by a measurement on at most q qubits of the quantum code, even if a constant fraction of its qubits have been corrupted adversarially. We show that such a quantum code can be transformed into a classical q-query locally decodable code of the same length that can be decoded well on average (albeit with smaller success probability and noise-tolerance). This shows, roughly speaking, that q-query quantum codes are not significantly better than q-query classical codes, at least for constant or small q. | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/0806.2101 | |
| dc.identifier | http://arxiv.org/abs/0806.2101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162798 | |
| dc.subject | Quantum Physics | |
| dc.title | Locally Decodable Quantum Codes | |
| dc.type | text |