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

2004/03/31 by Stephen D. Bartlett, Terry Rudolph, Robert W. Spekkens · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.70.032307

published as Phys. Rev. A 70, 032307 (2004) · 13 pages, published version

arxiv created 2004/09/23 · arxiv updated 2009/12/01

Abstract

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.

Cited by

• Structure Theorem for Quantum Replacer Codes
• Quasiorthogonality of Commutative Algebras, Complex Hadamard Matrices, and Mutually Unbiased Measurements

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