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In this paper we study the Minimum Error Discrimination problem (MED) for ensembles of linearly independent (LI) states. We define a bijective map from the set of those ensembles to… Click to show full abstract
In this paper we study the Minimum Error Discrimination problem (MED) for ensembles of linearly independent (LI) states. We define a bijective map from the set of those ensembles to itself and we show that the Pretty Good Measurement (PGM) and the optimal measurement for the MED are related by the map. In particular, the fixed points of the map are those ensembles for which the PGM is the optimal measurement. Also, we simplify the optimality conditions for the measurement of an ensemble of LI states.
Keywords:
error discrimination;
minimum error;
linearly independent;
independent states
Journal Title: Physical Review A
Year Published: 2019
Link to full text (if available)
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Journal Title: Physical Review A
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!