Fidelity preserving and decoherence for mixed unitary quantum channels

• URL: http://arxiv.org/abs/2410.20117v1
• Date: Sat, 26 Oct 2024 08:08:21 GMT
• Title: Fidelity preserving and decoherence for mixed unitary quantum channels
• Authors: Kai Liu, Deguang Han,
• Abstract summary: Distinguishable and non-distinguishable quantum states are fundamental resources in quantum mechanics and quantum technologies. In this paper, we investigate mixed unitary quantum channels and the conditions under which fidelity, a measure of quantum state closeness, is preserved.
• Score: 3.0899016152680754
• License:
• Abstract: 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 $\Phi(\rho) = \sum_{i=1}^N p_i U_i \rho U_i^*$, we analyze their effect on quantum state $|\varphi\rangle$ through the associated purification $|\Psi\rangle$, 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.

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