New kind of asymmetric projection integral operators and parity measurement
arXiv (Cornell University)(2020)
Abstract
By means of the technique of integration within an ordered product of operators and Dirac notation, we introduce a kind of Hermitian operator constructed by entangled state representations. For such a Hermitian operator, we rigorously prove that it corresponds to a parity measurement combined with a beam splitter when any two-mode quantum state passes through such device. Therefore we obtain a new relation between a Hermitian operator and the entangled state representations.
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Key words
integral operators,asymmetric projection
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