General Mixed State Quantum Data Compression with and without Entanglement Assistance
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912043951456256 |
|---|---|
| author | Khanian, Zahra Baghali Winter, Andreas |
| author_facet | Khanian, Zahra Baghali Winter, Andreas |
| contents | 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 $ρ^{AR}$ 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 qubit-ebit rate pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_08506 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | General Mixed State Quantum Data Compression with and without Entanglement Assistance Khanian, Zahra Baghali Winter, Andreas Quantum Physics Information Theory 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 $ρ^{AR}$ 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 qubit-ebit rate pairs. |
| title | General Mixed State Quantum Data Compression with and without Entanglement Assistance |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/1912.08506 |