General criterion for oblivious remote state preparation

Z. Kurucz, P. Adam, J. Janszky

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

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 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 nonmaximally 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.

Original languageEnglish
Article number062301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume73
Issue number6
DOIs
Publication statusPublished - Jun 12 2006

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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