Fidelity preserving and decoherence for mixed unitary quantum channels

2024/10/26 by Liu, Kai, Han, Deguang · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2410.20117

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 Φ(ρ) = ∑_i=1^N p_i U_i ρU_i^*, we analyze their effect on quantum state |φ⟩ through the associated purification |Ψ⟩, 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.

Cited by

• Fidelity-Preserving Quantum Encoding for Quantum Neural Networks

Related

• A fidelity measure for quantum channels
• A new fidelity of quantum channel evolution and its geometric interpretation
• Fidelity based purity and coherence for quantum states
• Fidelity and quantum phase transitions
• Reconstructing the unitary part of a noisy quantum channel