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arXiv · 0809.3081

Undetermined states: how to find them and their applications

Min-Hsiu Hsieh·Wen-Tai Yen·Li-Yi Hsu
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Abstract

We investigate the undetermined sets consisting of two-level, multi-partite pure quantum states, whose reduced density matrices give absolutely no information of their original states. Two approached of finding these quantum states are proposed. One is to establish the relation between codewords of the stabilizer quantum error correction codes (SQECCs) and the undetermined states. The other is to study the local complementation rules of the graph states. As an application, the undetermined states can be exploited in the quantum secret sharing scheme. The security is guaranteed by their undetermineness.

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Min-Hsiu Hsieh, Wen-Tai Yen, Li-Yi Hsu. 2010-12-28. Undetermined states: how to find them and their applications. https://doi.org/10.1140/epjd/e2010-10374-9

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