Relations between different definitions of the quantum Wasserstein distance for qubits
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911699573932032 |
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| author | Tóth, Géza Pitrik, József |
| author_facet | Tóth, Géza Pitrik, József |
| contents | The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function. As a consequence, the self-distance equals the Wigner-Yanase skew information in this case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03027 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relations between different definitions of the quantum Wasserstein distance for qubits Tóth, Géza Pitrik, József Quantum Physics Mathematical Physics The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function. As a consequence, the self-distance equals the Wigner-Yanase skew information in this case. |
| title | Relations between different definitions of the quantum Wasserstein distance for qubits |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2605.03027 |