Quantum State Recovery Via Environment-assisted Measurement and Weak Measurement

In this paper, we propose a quantum state recovery scheme based on environment assisted measurement with weak measurements and flip operations. Before the decoherence channel the weak measurement and flip operators are applied to gain some information about the state of the system and transfer it to a more robust state. Then we utilize environment assisted measurement and post-flip operations to bring the system as close as possible to its initial state. We illustrate our scheme and compare it with a scheme based on environment assisted measurement and weak measurement reversal in the case of a decoherence channel. We show that the success probability of our proposed scheme is significantly improved for all initial states. The proposed scheme is applicable for recovery of N-qubit state from any type of decoherence with at least one invertible Kraus operator. Also, the explicit formula of total fidelity and success probability for recovery of N-qubit GHZ state are derived.

Automated summary

This paper introduces a quantum state recovery scheme based on environment assisted measurement using weak measurements and flip operations. The proposed scheme significantly improves the success probability of recovering the system from a decoherence channel for all initial states. The explicit formulas for total fidelity and success probability of recovering N-qubit GHZ state are derived.