Distinguishing mixed quantum states: Minimum-error discrimination versus optimum unambiguous discrimination
نویسندگان
چکیده
منابع مشابه
Distinguishing mixed quantum states: Minimum-error discrimination versus optimum unambiguous discrimination
We consider two different optimized measurement strategies for the discrimination of nonorthogonal quantum states. The first is ambiguous discrimination with a minimum probability of inferring an erroneous result, and the second is unambiguous, i.e., error-free, discrimination with a minimum probability of getting an inconclusive outcome, where the measurement fails to give a definite answer. F...
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We derive a general lower bound on the minimum-error probability for ambiguous discrimination between arbitrary m’s mixed quantum states with given prior probabilities. When m = 2, this bound is precisely the well-known Helstrom limit. Also, we give a general lower bound on the minimum-error probability for discriminating quantum operations. In particular, we show necessary and sufficient condi...
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We investigate generalized measurements, based on positive-operator-valued measures, and von Neumann measurements for the unambiguous discrimination of two mixed quantum states that occur with given prior probabilities. In particular, we derive the conditions under which the failure probability of the measurement can reach its absolute lower bound, proportional to the fidelity of the states. Th...
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Quantum state discrimination is an essential problem in quantum information theory. It was first considered for pure states in the literature. One strategy of quantum state discrimination is that one is asked to distinguish the given states without error, but a non-zero probability of inconclusive answer is allowed. Such a strategy is called unambiguous discrimination. Unambiguous discriminatio...
متن کاملMinimum-error discrimination between symmetric mixed quantum states
We provide a solution of finding optimal measurement strategy for distinguishing between symmetric mixed quantum states. It is assumed that the matrix elements of at least one of the symmetric quantum states are all real and nonnegative in the basis of the eigenstates of the symmetry operator. Typeset using REVTEX ∗[email protected] †[email protected] 1
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2004
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.70.022302