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Two-qubit state recovery from amplitude damping based on weak measurement

Harraz, S; Cong, S; Li, K; (2020) Two-qubit state recovery from amplitude damping based on weak measurement. Quantum Information Processing volume , 19 , Article 250. 10.1007/s11128-020-02747-w. Green open access

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Abstract

In this paper, we propose a feed-forward control approach to protect arbitrary two-qubit pure and mixed initial states using the weak measurement. A feed-forward operation and measurements are used before the noise channel, and afterward, a reversed operation and measurements are applied to recover the state back to its initial state. In the case of two-qubit pure states, we use the unraveling trick to describe the state of the system in each step of the control procedure. For two-qubit mixed states, a completely positive trace-preserving map is implemented. Finally, the fidelity and success probability are used to evaluate the effect of protection. The complete recovery conditions for the measurement strengths are derived, under which we achieve the optimal fidelity and the success probability of recovering the initial pure and mixed states.

Type: Article
Title: Two-qubit state recovery from amplitude damping based on weak measurement
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s11128-020-02747-w
Publisher version: https://doi.org/10.1007/s11128-020-02747-w
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Quantum control · State protection · Amplitude damping · Quantum measurement
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > Institute of Health Informatics
URI: https://discovery.ucl.ac.uk/id/eprint/10113555
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