New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement

• URL: http://arxiv.org/abs/2010.11361v2
• Date: Sun, 13 Dec 2020 08:00:39 GMT
• Title: New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement
• Authors: S. Wang, Z.P. Wang, J. D. Zhang
• Abstract summary: We introduce a new kind of asymmetric integration projection operators in entangled state representations. We rigorously demonstrate that they correspond to a parity measurement combined with a beam splitter when any two-mode quantum state passes through such device.
• Score: 0.34376560669160383
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By means of the technique of integration within an ordered product of operators and Dirac notation, we introduce a new kind of asymmetric integration projection operators in entangled state representations. These asymmetric projection operators are proved to be the Hermitian operator. Then, we rigorously demonstrate that they correspond 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 representation. As applications, we recover the previous results of the parity measurement in quantum metrology by our formalism.

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