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Quantum Information Processing

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

  • 01-08-2020
Published in:
Authors
Sajede Harraz
Shuang Cong
Kezhi Li
Published in
Quantum Information Processing | Issue 8/2020

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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.

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previous article Classical benchmarking of Gaussian Boson Sampling on the Titan supercomputer
next article Controlled quantum dialogue with authentication protocol on a basis of GHZ-like state
Title
Two-qubit state recovery from amplitude damping based on weak measurement
Authors
Sajede Harraz
Shuang Cong
Kezhi Li
Publication date
01-08-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02747-w
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