Realization schemes for quantum instruments in finite dimensions

Details Realization schemes for quantum instruments in finite dimensions Realization schemes for quantum instruments in finite dimensions

2008-10-17

arxiv.org/abs/0810.3211v4

J. Math. Phys. 50, 042101 (2009)

Physics

Quantum Physics

22 pages, no figures, published version

Scientific paper

10.1063/1.3105923

We present a general dilation scheme for quantum instruments with continuous outcome space in finite dimensions, in terms of an indirect POVM measurement performed on a finite dimensional ancilla. The general result is then applied to a large class of instruments generated by operator frames, which contains group-covariant instruments as a particular case, and allows to construct dilation schemes based on a measurement on the ancilla followed by a conditional feed-forward operation on the output. In the case of tight operator frames our construction generalizes quantum teleportation and telecloning, producing a whole family of generalized teleportation schemes in which the instrument is realized via a joint POVM at the sender combined with a conditional feed-forward operation at the receiver.

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