The Parity Operator: applications in quantum metrology

Abstract

In this paper, we review the use of parity as a detection observable in quantum metrology as well as introduce some original findings with regards to measurement resolution in Ramsey spectroscopy and quantum non-demolition (QND) measures of atomic parity. Parity was first introduced in the context of Ramsey spectroscopy as an alternative to atomic state detection. It was latter adapted for use in quantum optical interferometry where it has been shown to be the optimal detection observable saturating the quantum Cramér-Rao bound for path symmetric states. We include a brief review of the basics of phase estimation and the connection between parity-based detection and the quantum Fisher information as it applies to quantum optical interferometry. We also discuss the efforts made in experimental methods of measuring photon-number parity and close the paper with a discussion on the use of parity leading to enhanced measurement resolution in multi-atom spectroscopy. We show how this may be of use in the construction of high-precision multi-atom atomic clocks.

35 pages, 19 figures; We dedicate this paper to the memory of Jonathan P. Dowling, whose body of work had a tremendous impact on the fields of quantum optical interferometry and quantum metrology

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Cited by in corpus (12)

• Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry
• Enhanced phase estimation in parity detection based Mach-Zehnder interferometer using non-Gaussian two-mode squeezed thermal input state
• Parity-detection-based Mach-Zehnder interferometry with coherent and non-Gaussian squeezed vacuum states as inputs
• Direct measurement of the Wigner function of atoms in an optical trap
• Geometric aspects of analog quantum search evolutions
• Qubit Geodesics on the Bloch Sphere from Optimal-Speed Hamiltonian Evolutions
• Extending the Hong-Ou-Mandel Effect: the power of nonclassicality
• Family of CV states of definite parity and their metrological power
• Proposal for a quantum random number generator using coherent light an a non-classical observable
• A Quantum Optical Microphone in the Audio Band
• Violations of the Leggett-Garg inequality for coherent and cat states
• Multi-headed symmetrical superpositions of coherent states