Parity detection in quantum optical metrology without number-resolving detectors

Plick, William N.; Anisimov, Petr M.; Dowling, Jonathan P.; Lee, Hwang; Agarwal, G. S.

doi:10.1088/1367-2630/12/11/113025

Cited by 86 publications

(81 citation statements)

References 23 publications

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“…This parity measurement can be implemented with photon-number-resolving detectors or homodyne detection [28,29]. Using balanced homodyne detection and detectors with 99% quantum efficiency, phase estimation precision above the shot noise limit has been experimentally demonstrated with squeezed vacuum [16].…”

Section: Modelmentioning

confidence: 99%

Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

et al. 2017

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A proposed phase-estimation protocol based on measuring the parity of a two-mode squeezedvacuum state at the output of a Mach-Zehnder interferometer shows that the Cramér-Rao sensitivity is sub-Heisenberg [Phys. Rev. Lett. 104, 103602 (2010)]. However, these measurements are problematic, making it unclear if this sensitivity can be obtained with a finite number of measurements. This sensitivity is only for phase near zero, and in this region there is a problem with ambiguity because measurements cannot distinguish the sign of the phase. Here, we consider a finite number of parity measurements, and show that an adaptive technique gives a highly accurate phase estimate regardless of the phase. We show that the Heisenberg limit is reachable, where the number of trials needed for mean photon numbern = 1 is approximately one hundred. We show that the Cramér-Rao sensitivity can be achieved approximately, and the estimation is unambiguous in the interval (−π/2, π/2).

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Section: Modelmentioning

confidence: 99%

Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

et al. 2017

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“…Hence, parity is simply the evenness or oddness of the photon number in an output mode. In experiments, the parity operator can be implemented by using homodyne techniques [15] for high power, or observing the photon-number distribution with a photon-number resolving detector for small photon numbers.…”

Section: Introductionmentioning

confidence: 99%

Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection

et al. 2016

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We theoretically investigate the phase sensitivity with parity detection on an SU(1,1) interferometer with a coherent state combined with a squeezed vacuum state. This interferometer is formed with two parametric amplifiers for beam splitting and recombination instead of beam splitters. We show that the sensitivity of estimation phase approaches Heisenberg limit and give the corresponding optimal condition. Moreover, we derive the quantum Cramér-Rao bound of the SU(1,1) interferometer.

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“…As examples, we consider Fock states, even or odd coherent states, squeezed vacuum states, and single-photon-subtracted squeezed vacuum states. Furthermore, we consider the photon-number parity measurement [16][17][18][19][20][21][22][23][24][25], which was introduced into optical interferometry in Refs. [16,17].…”

Section: Introductionmentioning

confidence: 99%

Enhanced interferometry using squeezed thermal states and even or odd states

et al. 2014

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We derive a general expression of the quantum Fisher information for a Mach-Zehnder interferometer, with the port inputs of an arbitrary pure state and a squeezed thermal state. We find that the standard quantum limit can be beaten, when even or odd states are applied to the pure-state port. In particular, when the squeezed thermal state becomes a thermal state, all the even or odd states have the same quantum Fisher information for given photon numbers. For a squeezed thermal state, optimal even or odd states are needed to approach the Heisenberg limit. As examples, we consider several common even or odd states: Fock states, even or odd coherent states, squeezed vacuum states, and single-photon-subtracted squeezed vacuum states. We also demonstrate that super-precision can be realized by implementing the parity measurement for these states.

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Parity detection in quantum optical metrology without number-resolving detectors

Cited by 86 publications

References 23 publications

Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

Adaptive phase estimation with two-mode squeezed vacuum and parity measurement

Phase sensitivity at the Heisenberg limit in an SU(1,1) interferometer via parity detection

Enhanced interferometry using squeezed thermal states and even or odd states

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