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Phys. Rev. A 67, 042317 (2003) [6 pages]

Optimal encryption of quantum bits

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P. Oscar Boykin* and Vwani Roychowdhury
Electrical Engineering Department, UCLA, Los Angeles, California 90095

Received 19 September 2002; revised 28 January 2003; published 22 April 2003

We show that 2n random classical bits are both necessary and sufficient for encrypting any unknown state of n quantum bits in an informationally secure manner. We also characterize the complete set of optimal protocols in terms of a set of unitary operations that comprise an orthonormal basis in a canonical inner product space. Moreover, a connection is made between quantum encryption and quantum teleportation that allows for a different proof of optimality of teleportation.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.042317
DOI:
10.1103/PhysRevA.67.042317
PACS:
03.67.Dd, 03.67.Hk

*Electronic address: boykin@ee.ucla.edu

Electronic address: vwani@ee.ucla.edu