Preservation of quantum key rate in the presence of decoherence

Abstract

It is well known that the interaction of quantum systems with the environment reduces the inherent quantum correlations. Under special circumstances the effect of decoherence can be reversed, for example, the interaction modeled by an amplitude damping channel can boost the teleportation fidelity from the classical to the quantum region for a bipartite quantum state. Here, we first show that this phenomena fails in the case of a quantum key distribution protocol. We further show that the technique of weak measurement can be used to slow down the process of decoherence, thereby helping to preserve the quantum key rate when one or both systems are interacting with the environment via an amplitude damping channel. Most interestingly, in certain cases weak measurement with post-selection where one considers both success and failure of the technique is shown to be more useful than without it when both systems interact with the environment.

7 Pages, 5 figures, Comments are welcome

References in corpus (9)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• The uncertainty principle determines the non-locality of quantum mechanics
• EPR Steering Inequalities from Entropic Uncertainty Relations
• Undoing a weak quantum measurement of a solid-state qubit
• Measuring ultrasmall time delays of light by joint weak measurements
• Fine-grained EPR-steering inequalities
• Improving the fidelity of teleportation through noisy channels using weak measurement
• Environment assisted entanglement enhancement

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• Device-Independent Quantum Secure Direct Communication Under Non-Markovian Quantum Channels
• Protecting quantum correlations in presence of generalised amplitude damping channel: the two-qubit case
• Protecting temporal correlations of two-qubit states using quantum channels with memory
• Effect of Weak Measurement Reversal on Quantum Correlations in a Correlated Amplitude Damping Channel, with a Neural Network Perspective
• Breaking absolute separability with quantum switch
• Role of Steering Inequality In Quantum Key Distribution Protocol