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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2410.20117 |
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| _version_ | 1866914508213059584 |
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| author | Liu, Kai Han, Deguang |
| author_facet | Liu, Kai Han, Deguang |
| contents | Distinguishable and non-distinguishable quantum states are fundamental resources in quantum mechanics and quantum technologies. Interactions with the environment often induce decoherence, impacting both the distinguishability and non-distinguishability between quantum states. In this paper, we investigate mixed unitary quantum channels and the conditions under which fidelity, a measure of quantum state closeness, is preserved. More precisely, for quantum channels in the form $Φ(ρ) = \sum_{i=1}^N p_i U_i ρU_i^*$, we analyze their effect on quantum state $|φ\rangle$ through the associated purification $|Ψ\rangle$, explore the structure of such quantum channels that preserve either distinguishable or non-distinguishable states and then discuss the challenges of maintaining fidelity, particularly under the influence of phase damping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fidelity preserving and decoherence for mixed unitary quantum channels Liu, Kai Han, Deguang Quantum Physics Mathematical Physics Distinguishable and non-distinguishable quantum states are fundamental resources in quantum mechanics and quantum technologies. Interactions with the environment often induce decoherence, impacting both the distinguishability and non-distinguishability between quantum states. In this paper, we investigate mixed unitary quantum channels and the conditions under which fidelity, a measure of quantum state closeness, is preserved. More precisely, for quantum channels in the form $Φ(ρ) = \sum_{i=1}^N p_i U_i ρU_i^*$, we analyze their effect on quantum state $|φ\rangle$ through the associated purification $|Ψ\rangle$, explore the structure of such quantum channels that preserve either distinguishable or non-distinguishable states and then discuss the challenges of maintaining fidelity, particularly under the influence of phase damping. |
| title | Fidelity preserving and decoherence for mixed unitary quantum channels |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2410.20117 |