Linear optical quantum metrology with single photons: experimental errors, resource counting, and quantum Cramér-Rao bounds

Jonathan P. Olson; Keith R. Motes; Patrick M. Birchall; Nick M. Studer; Margarite Laborde; Todd Moulder; Peter P. Rohde; Jonathan P. Dowling

doi:10.1103/PhysRevA.96.013810

Linear optical quantum metrology with single photons: experimental errors, resource counting, and quantum Cramér-Rao bounds

Jonathan P. Olson^*, Keith R. Motes, Patrick M. Birchall, Nick M. Studer, Margarite Laborde, Todd Moulder, Peter P. Rohde, Jonathan P. Dowling

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Quantum number-path entanglement is a resource for supersensitive quantum metrology and in particular provides for sub-shot-noise or even Heisenberg-limited sensitivity. However, such number-path entanglement is thought to have been resource intensive to create in the first place, typically requiring either very strong nonlinearities or nondeterministic preparation schemes with feedforward, which are difficult to implement. Recently [K. R. Motes, Phys. Rev. Lett. 114, 170802 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.170802], it was shown that number-path entanglement from a BosonSampling inspired interferometer can be used to beat the shot-noise limit. In this paper we compare and contrast different interferometric schemes, discuss resource counting, calculate exact quantum Cramér-Rao bounds, and study details of experimental errors.

Original language	English
Article number	013810
Pages (from-to)	1-10
Number of pages	10
Journal	Physical Review A
Volume	96
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.96.013810
Publication status	Published - 10 Jul 2017

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abstract = "Quantum number-path entanglement is a resource for supersensitive quantum metrology and in particular provides for sub-shot-noise or even Heisenberg-limited sensitivity. However, such number-path entanglement is thought to have been resource intensive to create in the first place, typically requiring either very strong nonlinearities or nondeterministic preparation schemes with feedforward, which are difficult to implement. Recently [K. R. Motes, Phys. Rev. Lett. 114, 170802 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.170802], it was shown that number-path entanglement from a BosonSampling inspired interferometer can be used to beat the shot-noise limit. In this paper we compare and contrast different interferometric schemes, discuss resource counting, calculate exact quantum Cram{\'e}r-Rao bounds, and study details of experimental errors.",

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AU - Laborde, Margarite

AU - Moulder, Todd

AU - Rohde, Peter P.

AU - Dowling, Jonathan P.

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Linear optical quantum metrology with single photons: experimental errors, resource counting, and quantum Cramér-Rao bounds

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