Universal Compression of Ergodic Quantum Sources
| dc.creator | Kaltchenko, Alexei | |
| dc.creator | Yang, En-Hui | |
| dc.date | 2003-02-24 | |
| dc.date | 2003-03-14 | |
| dc.date.accessioned | 2026-07-07T06:06:13Z | |
| dc.date.available | 2026-07-07T06:06:13Z | |
| dc.description | For a real number $r>0$, let $F(r)$ be the family of all stationary ergodic quantum sources with von Neumann entropy rates less than $r$. We prove that, for any $r>0$, there exists a blind, source-independent block compression scheme which compresses every source from $F(r)$ to $r n$ qubits per input block length $n$ with arbitrarily high fidelity for all large $n$. As our second result,we show that the stationarity and the ergodicity of a quantum source $\{ρ_m \}_{m=1}^{\infty}$ are preserved by any trace-preserving completely positive linear map of the tensor product form ${\cal E}^{\otimes m}$, where a copy of ${\cal E}$ acts locally on each spin lattice site. We also establish ergodicity criteria for so called classically-correlated quantum sources. | |
| dc.description | 17 pages, minor revision | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0302174 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0302174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90897 | |
| dc.subject | Quantum Physics | |
| dc.title | Universal Compression of Ergodic Quantum Sources | |
| dc.type | text |