New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement
Quantum Physics
2021-05-19 v2
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.
Keywords
Cite
@article{arxiv.2010.11361,
title = {New kind of asymmetric integration projection operators constructed by entangled state representations and parity measurement},
author = {S. Wang and Z. P. Wang and J. D. Zhang},
journal= {arXiv preprint arXiv:2010.11361},
year = {2021}
}
Comments
6 pages, 1 figure