Undetermined states: how to find them and their applications
- 56 Downloads
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.
KeywordsLogic State Graph State Quantum Cryptography Quantum Secret Sharing Reduce Density Matrice
Unable to display preview. Download preview PDF.
- 1.R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, e-print arXiv:quant-ph/0702225
- 7.M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000) Google Scholar
- 8.D. Gottesman, Stabilizer codes and quantum error correction, Ph.D. thesis, California Institute of Technology (1997) Google Scholar
- 13.M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest, H.-J. Briegel, e-print arXiv:quant-ph/0602096