Multiphoton quantum interference at a beam splitter and the approach to Heisenberg-limited interferometry

Birrittella, Richard J.; Mimih, Jihane; Gerry, Christopher C.

doi:10.1103/physreva.86.063828

Cited by 48 publications

(38 citation statements)

References 35 publications

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“…This is to be expected as the lowest photon number state contained in the one-photon subtracted squeezed vacuum state is the one-photon state. Only odd photon number states are populated, and we have shown in our previous work [43] a dramatic effect on interferometry of mixing a single photon with coherent light at a beam splitter, the significant reduction in noise below the SQL. After one photon subtraction from the squeezed vacuum state, the one-photon state has a high probability of occupation as can be seen in Fig.…”

Section: Sensitivity Of Phase-shift Measurementsmentioning

confidence: 80%

Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Birrittella

Gerry

2014

J. Opt. Soc. Am. B

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Hofmann and Ono [Phys. Rev. A 76, 031806, (2007)] showed that the mixing of coherent light and single-mode squeezed light at a beam splitter gives good approximation results in a superposition of path-entangled photon number states (so-called N00N states), which can be used for phase-shift measurements by coincident detections at the output of an interferometer. They showed that N00N states for arbitrary photon number N could be produced by this procedure. Afek et al. [Science 328, 879 (2010)] have implemented the Hofmann-Ono proposal in the laboratory. In this paper, we show that, for a given coherent state amplitude and a given squeezing parameter, the mixing of coherent states and photon-subtracted squeezed vacuum states at the first beam splitter of an interferometer leads to improved phase-shift measurement sensitivity when using the photon-number detection technique on one of the output beams of the device. We also show that the phase-shift measurements will also be super-resolved to a greater degree than is possible by mixing coherent and squeezed vacuum light of the same field parameters.

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Section: Sensitivity Of Phase-shift Measurementsmentioning

confidence: 80%

Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Birrittella

Gerry

2014

J. Opt. Soc. Am. B

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“…We note that a state-input with squeezed single-photon state and coherent state has been studied in Ref. [46]. When θ ′ = π, we have (8), the QFI can be obtained as…”

Section: Squeezed Vacuum State |ξ0 Amentioning

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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“…A plethora of quantum states have been shown to have a quantum metrological interest [1,14,[30][31][32][33][45][46][47][48][49][50][51]. The discussions however, were carried out in the balanced case only, with few exceptions [24][25][26].…”

Section: Gaussian and Non-gaussian Input State Examplesmentioning

confidence: 99%

“…Finally, for a number of input states [14,24,25,[29][30][31][32][33][34], we obtain the optimum transmission coefficient, T opt , and thoroughly discuss the QFI performance for each scenario. Whenever possible, we compare our findings with previously reported ones in the literature.…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher information maximization in an unbalanced interferometer

Ataman

2022

Preprint

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In this paper we provide the answer to the following question: given an arbitrary pure input state and a general, unbalanced, Mach-Zehnder interferometer, what transmission coefficient of the first beam splitter maximizes the quantum Fisher information (QFI)? We consider this question for both single-and two-parameter QFI, or, in other words, with or without having access to an external phase reference. We give analytical results for all involved scenarios. It turns out that, for a large class of input states, the balanced (50/50) scenario yields the optimal two-parameter QFI, however this is far from being a universal truth. When it comes to the single-parameter QFI, the balanced scenario is rarely the optimal one and an unbalanced interferometer can bring a significant advantage over the balanced case. We also state the condition imposed upon the input state so that no metrological advantage can be exploited via an external phase reference. Finally, we illustrate and discuss our assertions through a number of examples, including both Gaussian and non-Gaussian input states.

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Multiphoton quantum interference at a beam splitter and the approach to Heisenberg-limited interferometry

Cited by 48 publications

References 35 publications

Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Quantum optical interferometry via the mixing of coherent and photon-subtracted squeezed vacuum states of light

Enhanced interferometry using squeezed thermal states and even or odd states

Quantum Fisher information maximization in an unbalanced interferometer

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