General Mixed State Quantum Data Compression with and without Entanglement Assistance
| Autor: | Andreas Winter, Zahra Baghali Khanian |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
FOS: Computer and information sciences
Quantum Physics Computer Science - Information Theory Information Theory (cs.IT) 010102 general mathematics FOS: Physical sciences 020206 networking & telecommunications Data compression ratio 02 engineering and technology State (functional analysis) Quantum entanglement 01 natural sciences Qubit 0202 electrical engineering electronic engineering information engineering Quantum system Statistical physics Information source (mathematics) 0101 mathematics Quantum Physics (quant-ph) Quantum Mathematics Data compression |
| Zdroj: | ISIT |
| DOI: | 10.1109/isit44484.2020.9174148 |
| Popis: | We consider the most general (finite-dimensional) quantum mechanical information source, which is given by a quantum system A that is correlated with a reference system R. The task is to compress A in such a way as to reproduce the joint source state ρAR at the decoder with asymptotically high fidelity. This includes Schumacher’s original quantum source coding problem of a pure state ensemble and that of a single pure entangled state, as well as general mixed state ensembles. Here, we determine the optimal compression rate (in qubits per source system) in terms of the Koashi-Imoto decomposition of the source into a classical, a quantum, and a redundant part. The same decomposition yields the optimal rate in the presence of unlimited entanglement between compressor and decoder, and indeed the full region of feasible qubitebit rate pairs. Full version at arXiv:1912.08506 [1]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|