General criterion for oblivious remote state preparation

Details General criterion for oblivious remote state preparation General criterion for oblivious remote state preparation

2006-05-05

arxiv.org/abs/quant-ph/0605057v1

Phys. Rev. A 73, 062301 (2006)

Physics

Quantum Physics

5 pages, RevTeX

Scientific paper

10.1103/PhysRevA.73.062301

A necessary and sufficient condition is given for general exact remote state preparation (RSP) protocols to be oblivious, that is, no information about the target state can be retrieved from the classical message. A novel criterion in terms of commutation relations is also derived for the existence of deterministic exact protocols in which Alice's measurement eigenstates are related to each other by fixed linear operators similar to Bob's unitaries. For non-maximally entangled resources, it provides an easy way to search for RSP protocols. As an example, we show how to reduce the case of partially entangled resources to that of maximally entangled ones, and we construct RSP protocols exploiting the structure of the irreducible representations of Abelian groups.

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