Optimal unambiguous filtering of a quantum state: An instance in mixed state discrimination
نویسندگان
چکیده
منابع مشابه
Optimal unambiguous filtering of a quantum state: An instance in mixed state discrimination
Deterministic discrimination of nonorthogonal states is forbidden by quantum measurement theory. However, if we do not want to succeed all the time, i.e., allow for inconclusive outcomes to occur, then unambiguous discrimination becomes possible with a certain probability of success. A variant of the problem is set discrimination: the states are grouped in sets and we want to determine to which...
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We show how to optimally unambiguously discriminate between two subspaces of a Hilbert space. In particular we suppose that we are given a quantum system in either the state |ψ1〉, where |ψ1〉 can be any state in the subspace S1, or |ψ2〉, where |ψ2〉 can be any state in the subspace S2, and our task is to determine in which of the subspaces the state of our quantum system lies. We do not want to m...
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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...
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Unambiguously distinguishing between nonorthogonal but linearly independent quantum states is a challenging problem in quantum information processing. In this work, an exact analytic solution to an optimum measurement problem involving an arbitrary number of pure linearly independent quantum states is presented. To this end, the relevant semi-definite programming task is reduced to a linear pro...
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We present theory and experiment for the task of discriminating two nonorthogonal states, given multiple copies. We implement several local measurement schemes, on both pure states and states mixed by depolarizing noise. We find that schemes which are optimal (or have optimal scaling) without noise perform worse with noise than simply repeating the optimal single-copy measurement. Applying opti...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2005
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.71.042314