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Phase precision in optimal 2-channel quantum interferometry is studied in the limit of large photon number $N\gg 1$, for losses occurring in either one or both channels. For losses in one channel an optimal state undergoes an intriguing…

量子物理 · 物理学 2013-05-29 Sergey Knysh , Vadim N. Smelyanskiy , Gabriel A. Durkin

We propose a scheme in which an arbitrary incidence can be made perfectly reflected/transmitted if a phase setup is adjusted under a specific condition. We analyze the intracavity field variation as well as the output field with changing…

量子物理 · 物理学 2018-03-20 Miaodi Guo , Xuemei Su

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are…

量子物理 · 物理学 2009-11-13 Yang Gao , Hwang Lee

We study the feasibility of sub-shot-noise interferometry with imperfect detectors, starting from twin-Fock states and two mode squeezed vacuum states. We derive analytical expressions for the corresponding phase uncertainty. We find that…

We analyze the problem of quantum-limited estimation of a stochastically varying phase of a continuous beam (rather than a pulse) of the electromagnetic field. We consider both non-adaptive and adaptive measurements, and both dyne detection…

量子物理 · 物理学 2007-05-23 D. W. Berry , H. M. Wiseman

We investigate quantum phase estimation in a Mach-Zehnder interferometer using q-deformed photon states, including q-coherent and q-cat states, which model realistic deviations from ideal light sources. By deriving closed-form photon count…

量子物理 · 物理学 2025-10-07 Duttatreya , Sanjib Dey

For a generic interferometer, the conditional probability density distribution, $p(\phi|m)$, for the phase $\phi$ given measurement outcome $m$, will generally have multiple peaks. Therefore, the phase sensitivity of an interferometer…

量子物理 · 物理学 2009-11-13 Thomas B. Bahder , Paul A. Lopata

Using multi-photon entangled input states, we estimate the phase uncertainty in a noiseless Mach-Zehnder interferometer (MZI) using photon-counting detection. We assume a flat prior uncertainty and use Bayesian inference to construct a…

量子物理 · 物理学 2023-10-04 Shreyas Sadugol , Lev Kaplan

We study Fock state interferometry, consisting of a Mach-Zehnder Interferometer with two Fock state inputs and photon-number-resolved detection at the two outputs. We show that it allows discrimination of a discrete number of apriori-known…

量子物理 · 物理学 2021-02-16 Reihaneh Shahrokhshahi , Saikat Guha , Olivier Pfister

A Michelson-type interferometer with two-mode squeezed coherent state input is considered. Such an interferometer has a better phase sensitivity over the shot-noise limit by a factor of $e^{2r}$, where $r$ is the squeezing parameter [Phys.…

量子物理 · 物理学 2023-03-03 Stav Haldar , Pratik J. Barge , Xiao-Qi Xiao , Hwang Lee

We address the problem of the optimal quantum estimation of the coupling parameter of a bilinear interaction, such as the transmittivity of a beam splitter or the internal phase-shift of an interferometer. The optimal measurement scheme…

量子物理 · 物理学 2007-05-23 G. Mauro D'Ariano , Matteo G. A. Paris , Paolo Perinotti

We find the optimal measurement for distinguishing between symmetric multi-mode phase-randomized coherent states. A motivation for this is that phase-randomized coherent states can be used for quantum communication, including quantum…

量子物理 · 物理学 2024-10-16 Ioannis Petrongonas , Erika Andersson

Determining the phase in one arm of a quantum interferometer is discussed taking into account the three non-ideal aspects in real experiments: non-deterministic state preparation, non-unitary state evolution due to losses during state…

量子物理 · 物理学 2015-05-20 Thomas B. Bahder

The best performance of a Mach-Zehnder interferometer is achieved with the input state |N_T/2 + 1>|N_T/2-1 > + |N_T/2 - 1>|N_T/2+1>, being N_T the total number of atoms/photons. This gives: i) a phase-shift error confidence C_{68%}=2.67/N_T…

量子物理 · 物理学 2009-11-11 Luca Pezze' , Augusto Smerzi

The ultimate precision of phase estimation is limited by the Heisenberg scaling $\Delta\phi_0 = K/N$, where $K\sim1$ is a numerical prefactor and $N$ is the mean number of photons interacting with the phase shifting object(s). However,…

量子物理 · 物理学 2026-03-31 D. I. Salykina , V. S. Liamin , V. L. Gorshenin , B. N. Nougmanov , F. Ya. Khalili

We propose an $N$-photon Gaussian measurement scheme which allows the estimation of a parameter $\varphi$ encoded into a multi-port interferometer with a Heisenberg scaling precision (i.e. of order $1/N$). In this protocol, no restrictions…

量子物理 · 物理学 2021-12-23 Giovanni Gramegna , Danilo Triggiani , Paolo Facchi , Frank A. Narducci , Vincenzo Tamma

We present measurement schemes that do not rely on photon-number resolving detectors, but that are nevertheless optimal for estimating a differential phase shift in interferometry with either an entangled coherent state or a…

量子物理 · 物理学 2024-09-12 Z. M. McIntyre , W. A. Coish

In this paper, we investigate the phase sensitivities in two-path optical interferometry with asymmetric beam splitters. Here, we present the optimal conditions for the transmission ratio and the phase of the beam splitter to gain the…

量子物理 · 物理学 2020-01-03 Wei Zhong , Fan Wang , Lan Zhou , Peng Xu , Yu-Bo Sheng

Particle indistinguishability is at the heart of quantum statistics that regulates fundamental phenomena such as the electronic band structure of solids, Bose-Einstein condensation and superconductivity. Moreover, it is necessary in…

It is demonstrated a two-photon interfering technique based on polarization-resolved measurements for the simultaneous estimation with the maximum sensitivity achievable in nature of multiple parameters associated with the polarization…

量子物理 · 物理学 2025-02-11 L. Maggio , D. Triggiani , P. Facchi , V. Tamma