Abstract
We study the symmetry properties in the dynamics of quantum correlations for two-qubit systems in one-sided noisy channels, with respect to a switch in the location of noise from one qubit to the other. We consider four different channel types, namely depolarizing, amplitude damping, bit-flip, and bit-phase-flip channel, and identify the classes of initial states leading to symmetric decay of entanglement, non-locality and discord. Our results show that the symmetric decay of quantum correlations is not directly linked to the presence or absence of symmetry in the initial state, while it does depend on the type of correlation considered as well as on the type of noise. We prove that asymmetric decay can be used to infer, in certain cases, characteristic properties of the channel. We also show that the location of noise may lead to dramatic changes in the persistence of phenomena such as entanglement sudden death and time-invariant discord.
Highlights
Correlations of genuine quantum nature among the individual constituents of composite systems play a fundamental role in quantum physics
In this paper we investigate the dynamics of quantum correlations, namely discord, entanglement and non-locality, for two-qubit systems subjected to various types of one-sided noisy channels
We have studied the dynamics of concurrence, Bell function and trace distance discord under one-qubit channels and their combinations
Summary
[0, 1] is the channel strength parameter, telling how strongly the channel influences states. Corresponding to equations (5) and (6), the dynamics of an arbitrary. By comparing equations (7) and (8), it is evident, that the dynamics of a state is symmetric if and only if ρ11 = ρ44 and ρ22 = ρ33. We note that the symmetry of the state dynamics is independent of instead. Channels Φp, Ψp, and Ξp correspond to local amplitude damping or depolarizing noises with equal channel strength parameters p acting on qubits U and L. htforward ca ∀ p ∈ [0, 1], if lcul and ation only if shows that ρ33 = ρ22 or entanglement decays symmetrically, i.e. = of the initial state, as formulated in We conclude that symmetry equation (2).
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