Dynamical maps and measurements
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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 $μN^2$ 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.
5 pages
5 pages