Abstract

Using the technique of integration within an ordered product of operators and Dirac notation, we introduce asymmetric integration projection operators in entangled state representations. These asymmetric projection operators are proven to be Hermitian. We demonstrate rigorously that they correspond to a parity measurement combined with a balanced beam splitter that provides an alternative method to analyze the signal of parity measurement. We use our method to revisit several previous schemes using parity measurement and exotic inputs. These results suggest that our work is useful for quantum metrology based on parity measurement.

© 2021 Optical Society of America

Full Article  |  PDF Article
More Like This
SU(1,1) interferometry with parity measurement

Shuai Wang and Jian-Dong Zhang
J. Opt. Soc. Am. B 38(9) 2687-2693 (2021)

SU(1,1) parity and strong violations of a Bell inequality by entangled Barut–Girardello coherent states

Edwin E. Hach, Richard Birrittella, Paul M. Alsing, and Christopher C. Gerry
J. Opt. Soc. Am. B 35(10) 2433-2442 (2018)

Lower- versus higher-order nonclassicalities for a coherent superposed quantum state

Deepak and Arpita Chatterjee
J. Opt. Soc. Am. B 38(11) 3212-3221 (2021)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (47)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics