Journal
PHYSICAL REVIEW A
Volume 81, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.042329
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Funding
- National Natural Science Foundation [60573006, 60873055]
- Research Foundation for the Doctoral Program of Higher School of Ministry of Education [20050558015]
- Program for New Century Excellent Talents in University (NCET) of China
- SQIG at IT
- FCT
- EU [Quantlog POCI/MAT/55796/2004, QSec PTDC/EIA/67661/2006]
- QuantTel
- NoE Euro-NF
- SQIG LAP
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We derive a new bound on the minimum-error probability for ambiguous discrimination and compare the new bound with six other bounds in the literature. Specifically, the main technical contributions are as follows. (1) We obtain a general lower bound on the minimum-error probability for ambiguous discrimination among arbitrary m mixed quantum states with given prior probabilities. We further analyze how this lower bound is attainable by presenting a necessary and sufficient condition related to it. (2) We compare this new lower bound with six other bounds in the literature, in detail. We show that this new bound improves the previous one in the literature and in the equiprobable case; the new bound also improves another one. Moreover, we give an example to show that this new bound is the tightest one for some cases.
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