Abstract
We investigate the simulation of pure-mixed (quantum filtering) and mixed-mixed state discriminations, by discriminating a pair of pure states and comparing the optimal success probability with the ones for pure-mixed and mixed-mixed discriminations. It is shown thatunder the equal-fidelity condition, the pure-pure state discrimination scheme is superior to the pure-mixed (mixed-mixed) one. With respect to the simulation of filtering, the coherence is detrimental to the state discrimination for lower dimensional systems; while it is the opposite for the mixed-mixed case with symmetrically distributed coherence. This result is due to the different distribution of the intrinsic coherence in the two schemes. Extending this problem to infinite-dimensional systems, we find that the coherence which is detrimental to state discrimination may become helpful and vice versa.
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