Capacity of a bosonic memory channel with Gauss-Markov noise
We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions, we show that the optimal modulation results from a “quantum...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/65077 |
| _version_ | 1826207573643100160 |
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| author | Schafer, Joachim Daems, David Karpov, Evgueni Cerf, Nicolas J. |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Schafer, Joachim Daems, David Karpov, Evgueni Cerf, Nicolas J. |
| author_sort | Schafer, Joachim |
| collection | MIT |
| description | We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions, we show that the optimal modulation results from a “quantum water-filling” solution above a certain input energy threshold, similar to the optimal modulation for parallel classical Gaussian channels. We also derive analytically the optimal multimode input state above this threshold, which enables us to compute the capacity of this memory channel in the limit of an infinite number of modes. The method can also be applied to a more general noise environment which is constructed by a stationary Gauss process. The extension of our results to the case of broadband bosonic channels with colored Gaussian noise should also be straightforward. |
| first_indexed | 2024-09-23T13:51:58Z |
| format | Article |
| id | mit-1721.1/65077 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:51:58Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/650772022-09-28T16:41:54Z Capacity of a bosonic memory channel with Gauss-Markov noise Schafer, Joachim Daems, David Karpov, Evgueni Cerf, Nicolas J. Massachusetts Institute of Technology. Research Laboratory of Electronics Cerf, Nicolas J. Cerf, Nicolas J. We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions, we show that the optimal modulation results from a “quantum water-filling” solution above a certain input energy threshold, similar to the optimal modulation for parallel classical Gaussian channels. We also derive analytically the optimal multimode input state above this threshold, which enables us to compute the capacity of this memory channel in the limit of an infinite number of modes. The method can also be applied to a more general noise environment which is constructed by a stationary Gauss process. The extension of our results to the case of broadband bosonic channels with colored Gaussian noise should also be straightforward. 2011-08-04T14:05:56Z 2011-08-04T14:05:56Z 2009-12 2009-07 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/65077 Schäfer, Joachim et al. “Capacity of a Bosonic Memory Channel with Gauss-Markov Noise.” Physical Review A 80.6 (2009) : 062313. © 2009 The American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.80.062313 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Schafer, Joachim Daems, David Karpov, Evgueni Cerf, Nicolas J. Capacity of a bosonic memory channel with Gauss-Markov noise |
| title | Capacity of a bosonic memory channel with Gauss-Markov noise |
| title_full | Capacity of a bosonic memory channel with Gauss-Markov noise |
| title_fullStr | Capacity of a bosonic memory channel with Gauss-Markov noise |
| title_full_unstemmed | Capacity of a bosonic memory channel with Gauss-Markov noise |
| title_short | Capacity of a bosonic memory channel with Gauss-Markov noise |
| title_sort | capacity of a bosonic memory channel with gauss markov noise |
| url | http://hdl.handle.net/1721.1/65077 |
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