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Dynamical maps and measurements

Aik-meng Kuah, E. C. G. Sudarshan

quant-pharXiv:quant-ph/0209083

Abstract

We show how a set of POVMs, expressed as a set of μ linear maps, can be performed with a unitary transformation followed by a von-Neumann measurement with an ancillary system of no more than μN2 dimensions. This result shows that all generalized linear transformations and measurements on density matrices can be performed by unitary transformations and von-Neumann measurements by coupling a suitably large ancillary system.

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