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The European Physical Journal D

, Volume 61, Issue 1, pp 261–265 | Cite as

Undetermined states: how to find them and their applications

  • M. H. Hsieh
  • W. T. Yen
  • L. Y. Hsu
Article
  • 56 Downloads

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.

Keywords

Logic State Graph State Quantum Cryptography Quantum Secret Sharing Reduce Density Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.ERATO-SORST Quantum Computation and Information Project, Japan Science and Technology Agency, 5-28-3, Hongo, Bunkyo-kuTokyoJapan
  2. 2.Department of PhysicsChung Yuan Christian UniversityChungliTaiwan

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