Quantum Detection Problem via Fusion Frames

The quantum detection problem was considered recently for discrete frames inboth finite and infinite dimensional Hilbert spaces and also for continuous frames.The quantum detection problem ask to characterize the POVM ( positive operatorvaluedmeasures) that are informationally complete. It can be split as follows: theinjective or state separability problem and the rang analysis or state estimation problem.Improving and extending this notion, in this note we will study the quantumdetection problem for fusion frames.

کلیدواژه ها:

Quantum detection ، Fusion frame ، Positive operator-valued measure ، Injectivityproblem ، State estimation