Variational Estimation of Optimal Signal States for Quantum Channels
This article explores the performance of quantum communication systems in the presence of noise and focuses on finding the optimal encoding for maximizing the classical communication rate, approaching the classical capacity in some scenarios. Instead of theoretically bounding the ultimate capacity o...
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Transactions on Quantum Engineering |
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| Online Access: | https://ieeexplore.ieee.org/document/10508490/ |
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| author | Leonardo Oleynik Junaid Ur Rehman Hayder Al-Hraishawi Symeon Chatzinotas |
| author_facet | Leonardo Oleynik Junaid Ur Rehman Hayder Al-Hraishawi Symeon Chatzinotas |
| author_sort | Leonardo Oleynik |
| collection | DOAJ |
| description | This article explores the performance of quantum communication systems in the presence of noise and focuses on finding the optimal encoding for maximizing the classical communication rate, approaching the classical capacity in some scenarios. Instead of theoretically bounding the ultimate capacity of the channel, we adopt a signal processing perspective to estimate the achievable performance of a physically available but otherwise unknown quantum channel. By employing a variational algorithm to estimate the trace distance between quantum states, we numerically determine the optimal encoding protocol for the amplitude damping and Pauli channels. Our simulations demonstrate the convergence and accuracy of the method with a few iterations, confirming that optimal conditions for binary quantum communication systems can be variationally determined with minimal computation. Furthermore, since the channel knowledge is not required at the transmitter or at the receiver, these results can be employed in arbitrary quantum communication systems, including satellite-based communication systems, a particularly relevant platform for the quantum Internet. |
| format | Article |
| id | doaj-art-1d35f81f82f24ea183ccede82127e8da |
| institution | Kabale University |
| issn | 2689-1808 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj-art-1d35f81f82f24ea183ccede82127e8da2025-01-28T00:02:23ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-0151810.1109/TQE.2024.339341610508490Variational Estimation of Optimal Signal States for Quantum ChannelsLeonardo Oleynik0https://orcid.org/0009-0005-6919-9841Junaid Ur Rehman1https://orcid.org/0000-0002-2933-8609Hayder Al-Hraishawi2https://orcid.org/0000-0002-0977-9984Symeon Chatzinotas3https://orcid.org/0000-0001-5122-0001Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Esch-sur-Alzette, LuxembourgInterdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Esch-sur-Alzette, LuxembourgInterdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Esch-sur-Alzette, LuxembourgInterdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Esch-sur-Alzette, LuxembourgThis article explores the performance of quantum communication systems in the presence of noise and focuses on finding the optimal encoding for maximizing the classical communication rate, approaching the classical capacity in some scenarios. Instead of theoretically bounding the ultimate capacity of the channel, we adopt a signal processing perspective to estimate the achievable performance of a physically available but otherwise unknown quantum channel. By employing a variational algorithm to estimate the trace distance between quantum states, we numerically determine the optimal encoding protocol for the amplitude damping and Pauli channels. Our simulations demonstrate the convergence and accuracy of the method with a few iterations, confirming that optimal conditions for binary quantum communication systems can be variationally determined with minimal computation. Furthermore, since the channel knowledge is not required at the transmitter or at the receiver, these results can be employed in arbitrary quantum communication systems, including satellite-based communication systems, a particularly relevant platform for the quantum Internet.https://ieeexplore.ieee.org/document/10508490/Classical–quantum computingclassical communicationquantum channelsvariational algorithms |
| spellingShingle | Leonardo Oleynik Junaid Ur Rehman Hayder Al-Hraishawi Symeon Chatzinotas Variational Estimation of Optimal Signal States for Quantum Channels IEEE Transactions on Quantum Engineering Classical–quantum computing classical communication quantum channels variational algorithms |
| title | Variational Estimation of Optimal Signal States for Quantum Channels |
| title_full | Variational Estimation of Optimal Signal States for Quantum Channels |
| title_fullStr | Variational Estimation of Optimal Signal States for Quantum Channels |
| title_full_unstemmed | Variational Estimation of Optimal Signal States for Quantum Channels |
| title_short | Variational Estimation of Optimal Signal States for Quantum Channels |
| title_sort | variational estimation of optimal signal states for quantum channels |
| topic | Classical–quantum computing classical communication quantum channels variational algorithms |
| url | https://ieeexplore.ieee.org/document/10508490/ |
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