On the reversible extraction of classical information from a quantum source
| dc.creator | Barnum, Howard | |
| dc.creator | Hayden, Patrick | |
| dc.creator | Jozsa, Richard | |
| dc.creator | Winter, Andreas | |
| dc.date | 2000-11-16 | |
| dc.date | 2003-07-29 | |
| dc.date.accessioned | 2026-07-07T06:01:12Z | |
| dc.date.available | 2026-07-07T06:01:12Z | |
| dc.description | Consider a source E of pure quantum states with von Neumann entropy S. By the quantum source coding theorem, arbitrarily long strings of signals may be encoded asymptotically into S qubits/signal (the Schumacher limit) in such a way that entire strings may be recovered with arbitrarily high fidelity. Suppose that classical storage is free while quantum storage is expensive and suppose that the states of E do not fall into two or more orthogonal subspaces. We show that if E can be compressed with arbitrarily high fidelity into A qubits/signal plus any amount of auxiliary classical storage then A must still be at least as large as the Schumacher limit S of E. Thus no part of the quantum information content of E can be faithfully replaced by classical information. If the states do fall into orthogonal subspaces then A may be less than S, but only by an amount not exceeding the amount of classical information specifying the subspace for a signal from the source. | |
| dc.description | 22 pages, Latex2e, journal version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0011072 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0011072 | |
| dc.identifier | Proc. Roy. Soc. (Lond.) A (2001), vol 457, p2019-2039 | |
| dc.identifier | doi:10.1098/rspa.2001.0816 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89184 | |
| dc.subject | Quantum Physics | |
| dc.title | On the reversible extraction of classical information from a quantum source | |
| dc.type | text |