Optimal encryption of quantum bits

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 c...

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2003-04, Vol.67 (4), Article 042317
Hauptverfasser: Boykin, P. Oscar, Roychowdhury, Vwani
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.67.042317