Petz recovery maps for qudit quantum channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917672856322048 |
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| author | Lautenbacher, Lea Jagadish, Vinayak Petruccione, Francesco Bernardes, Nadja K. |
| author_facet | Lautenbacher, Lea Jagadish, Vinayak Petruccione, Francesco Bernardes, Nadja K. |
| contents | This study delves into the efficacy of the Petz recovery map within the context of two paradigmatic quantum channels: dephasing and amplitude-damping. While prior investigations have predominantly focused on qubits, our research extends this inquiry to higher-dimensional systems. We introduce a novel, state-independent framework based on the Choi-Jamiołkowski isomorphism to evaluate the performance of the Petz map. By analyzing different channels and the (non-)unital nature of these processes, we emphasize the pivotal role of the reference state selection in determining the map's effectiveness. Furthermore, our analysis underscores the considerable impact of suboptimal choices on performance, prompting a broader consideration of factors such as system dimensionality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11658 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Petz recovery maps for qudit quantum channels Lautenbacher, Lea Jagadish, Vinayak Petruccione, Francesco Bernardes, Nadja K. Quantum Physics This study delves into the efficacy of the Petz recovery map within the context of two paradigmatic quantum channels: dephasing and amplitude-damping. While prior investigations have predominantly focused on qubits, our research extends this inquiry to higher-dimensional systems. We introduce a novel, state-independent framework based on the Choi-Jamiołkowski isomorphism to evaluate the performance of the Petz map. By analyzing different channels and the (non-)unital nature of these processes, we emphasize the pivotal role of the reference state selection in determining the map's effectiveness. Furthermore, our analysis underscores the considerable impact of suboptimal choices on performance, prompting a broader consideration of factors such as system dimensionality. |
| title | Petz recovery maps for qudit quantum channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.11658 |