Decoherence-full subsystems and the cryptographic power of a private shared reference frame

Details Decoherence-full subsystems and the cryptographic power of a private shared reference frame Decoherence-full subsystems and the cryptographic power of a private shared reference frame

2004-03-23

arxiv.org/abs/quant-ph/0403161v2

Phys. Rev. A 70, 032307 (2004)

Physics

Quantum Physics

13 pages, published version

Scientific paper

10.1103/PhysRevA.70.032307

We show that private shared reference frames can be used to perform private quantum and private classical communication over a public quantum channel. Such frames constitute a novel type of private shared correlation (distinct from private classical keys or shared entanglement) useful for cryptography. We present optimally efficient schemes for private quantum and classical communication given a finite number of qubits transmitted over an insecure channel and given a private shared Cartesian frame and/or a private shared reference ordering of the qubits. We show that in this context, it is useful to introduce the concept of a decoherence-full subsystem, wherein every state is mapped to the completely mixed state under the action of the decoherence.

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