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Entropy 2019, 21(1), 59; https://doi.org/10.3390/e21010059

Improving the Robustness of Entangled States by Basis Transformation

1,2,3,* , 1,2,3
,
1,2
and
1,2
1
College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, China
2
Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang Normal University, Hengyang 421002, China
3
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China
*
Author to whom correspondence should be addressed.
Received: 28 November 2018 / Revised: 31 December 2018 / Accepted: 7 January 2019 / Published: 13 January 2019
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Abstract

In the practical application of quantum entanglement, entangled particles usually need to be distributed to many distant parties or stored in different quantum memories. In these processes, entangled particles unavoidably interact with their surrounding environments, respectively. We here systematically investigate the entanglement-decay laws of cat-like states under independent Pauli noises with unbalanced probability distribution of three kinds of errors. We show that the robustness of cat-like entangled states is not only related to the overall noise strength and error distribution parameters, but also to the basis of qubits. Moreover, we find that whether a multi-qubit state is more robust in the computational basis or transversal basis depends on the initial entanglement and number of qubits of the state as well as the overall noise strength and error distribution parameters of the environment. However, which qubit basis is conductive to enhancing the robustness of two-qubit states is only dependent on the error distribution parameters. These results imply that one could improve the intrinsic robustness of entangled states by simply transforming the qubit basis at the right moment. This robustness-improving method does not introduce extra particles and works in a deterministic manner. View Full-Text
Keywords: entanglement robustness; cat-like states; local Pauli noises; robustness-enhancement method; basis transformation entanglement robustness; cat-like states; local Pauli noises; robustness-enhancement method; basis transformation
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Wang, X.-W.; Tang, S.-Q.; Liu, Y.; Yuan, J.-B. Improving the Robustness of Entangled States by Basis Transformation. Entropy 2019, 21, 59.

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