Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866917820074295296 |
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| author | Cao, Michael X. Vontobel, Pascal O. |
| author_facet | Cao, Michael X. Vontobel, Pascal O. |
| contents | We consider the scenario of classical communication over a finite-dimensional quantum channel with memory using a separable-state input ensemble and local output measurements. We propose algorithms for estimating the information rate of such communication setups, along with algorithms for bounding the information rate based on so-called auxiliary channels. Some of the algorithms are extensions of their counterparts for (classical) finite-state-machine channels. Notably, we discuss suitable graphical models for doing the relevant computations. Moreover, the auxiliary channels are learned in a data-driven approach; i.e., only input/output sequences of the true channel are needed, but not the channel model of the true channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_00199 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory Cao, Michael X. Vontobel, Pascal O. Information Theory Quantum Physics We consider the scenario of classical communication over a finite-dimensional quantum channel with memory using a separable-state input ensemble and local output measurements. We propose algorithms for estimating the information rate of such communication setups, along with algorithms for bounding the information rate based on so-called auxiliary channels. Some of the algorithms are extensions of their counterparts for (classical) finite-state-machine channels. Notably, we discuss suitable graphical models for doing the relevant computations. Moreover, the auxiliary channels are learned in a data-driven approach; i.e., only input/output sequences of the true channel are needed, but not the channel model of the true channel. |
| title | Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory |
| topic | Information Theory Quantum Physics |
| url | https://arxiv.org/abs/1903.00199 |