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We investigate the phase enhancement of quantum states subject to non-linear phase shifts. The optimal phase estimation of even entangled coherent states (ECSs) is shown to be better than that of NOON states and of odd ECS states with the…

Quantum Physics · Physics 2012-10-25 Jaewoo Joo , Kimin Park , Hyunseok Jeong , William J. Munro , Kae Nemoto , Timothy P. Spiller

We study the phase sensitivity in the conventional $SU(2)$ and nonconventional $SU(1,1)$ interferometers with the coherent and squeezed vacuum input state via the quantum Cramer-Rao bound. We explicitly construct the detection scheme that…

Quantum Physics · Physics 2016-08-24 Yang Gao

Quantum metrology offers the potential to surpass its classical counterpart, pushing the boundaries of measurement precision toward the ultimate Heisenberg limit. This enhanced precision is normally attained by utilizing large squeezed…

Gaussian states are of increasing interest in the estimation of physical parameters because they are easy to prepare and manipulate in experiments. In this article, we derive formulae for the optimal estimation of parameters using two- and…

Quantum Physics · Physics 2015-07-16 Dominik Šafránek , Antony R. Lee , Ivette Fuentes

We address quantum estimation of displacement and squeezing parameters by the class of probes made of Gaussian states undergoing Kerr interaction. If we fix the overall energy available to the probe, without posing any constraint on the…

Quantum Physics · Physics 2013-01-16 Marco G. Genoni , Carmen Invernizzi , Matteo G. A. Paris

We consider the continuous-time version of our recently proposed quantum theory of optical temporal phase and instantaneous frequency [Tsang, Shapiro, and Lloyd, Phys. Rev. A 78, 053820 (2008)]. Using a state-variable approach to…

Quantum Physics · Physics 2009-05-21 Mankei Tsang , Jeffrey H. Shapiro , Seth Lloyd

The observation of the non-local properties of multipartite entangled states is of great importance for quantum information protocols. Such properties, however, are fragile and may not be observed in the presence of decoherence exhibited by…

Quantum Physics · Physics 2015-02-27 A. Sohbi , I. Zaquine , E. Diamanti , D. Markham

We address in this work the phase sensitivity of a Mach-Zehnder interferometer with Gaussian input states. A squeezed-coherent plus squeezed vacuum input state allows us to unambiguously determine the optimal phase-matching conditions in…

Quantum Physics · Physics 2019-12-16 Stefan Ataman

Quantum metrology utilizes nonclassical states to improve the precision of measurement devices. In this context, strongly squeezed vacuum states of light have proven to be a useful resource. They are typically produced by spontaneous…

Entanglement is generally considered necessary for achieving the Heisenberg limit in quantum metrology. We construct analogues of Dicke and GHZ states on a single $N+1$ dimensional qudit that achieve precision equivalent to symmetrically…

Quantum Physics · Physics 2023-09-26 Pragati Gupta

Non-Gaussian states, and specifically the paradigmatic Schr\"odinger cat state, are well-known to be very sensitive to losses. When propagating through damping channels, these states quickly loose their non-classical features and the…

Quantum Physics · Physics 2018-02-15 H. Le Jeannic , A. Cavaillès , K. Huang , R. Filip , J. Laurat

Quantum metrology employs quantum resources to achieve measurement precision beyond classical limits. This work investigates a Mach--Zehnder interferometer incorporating a Kerr nonlinear phase shifter, with photon-added two-mode squeezed…

Quantum Physics · Physics 2026-02-20 Zekun Zhao , Qingqian Kang , Teng Zhao , Cunjin Liu , Xin Su , Liyun Hu

We consider an optical interferometer with coherent light in one input and a squeezed vacuum in another. Such an interferometer is known to beat the standard quantum limit of sensitivity to the difference of phase shifts in its arms. We…

Quantum Physics · Physics 2026-03-10 Dmitri B. Horoshko , Fedor Jelezko

In the context of phase estimation with Gaussian states, we introduce a quantifiable definition of metrological advantage that takes into account thermal noise in the preparation procedure. For a broad set of states, \textit{isotropic…

Quantum Physics · Physics 2019-04-15 Louis Garbe , Simone Felicetti , Perola Milman , Thomas Coudreau , Arne Keller

The goal of quantum metrology is the precise estimation of parameters using quantum properties such as entanglement. This estimation usually consists of three steps: state preparation, time evolution during which information of the…

Quantum Physics · Physics 2021-03-25 Shingo Kukita , Yuichiro Matsuzaki , Yasushi Kondo

We reveal the noncyclic Pancharatnam phase--arising from the coherent system-meter interaction--as a fundamental criterion that governs the optimal performance of quantum compression channels in postselected metrology. This phase embodies a…

Quantum Physics · Physics 2026-01-16 Aiham M. Rostom , Saeed Haddadi , Vladimir A. Tomilin

Phase estimation is one of the most important facets of quantum metrology, with applications in sensing, microscopy, and quantum computation. When estimating a phase shift in a lossy medium, there is an upper bound on the attainable…

Quantum Physics · Physics 2024-11-26 Stewart A. Koppell , Mark A. Kasevich

The research focused on enhancing the measurement accuracy through the use of non-Gaussian states has garnered increasing attention. In this study, we propose a scheme to input the coherent state mixed with photon-catalyzed squeezed vacuum…

Quantum Physics · Physics 2024-03-26 Zekun Zhao , Qingqian Kang , Huan Zhang , Teng Zhao , Cunjin Liu , Liyun Hu

We report the direct -- continuous in phase -- sampling of a regularized $P$ function, the so-called nonclassicality quasiprobability, for squeezed light. Through their negativities, the resulting phase-space representation uncovers the…

Quantum Physics · Physics 2015-09-23 E. Agudelo , J. Sperling , W. Vogel , S. Köhnke , M. Mraz , B. Hage

We quantitatively investigate phase measurement in a Mach-Zehnder interferometer (MZI), which is injected with a weak coherent and a squeezed vacuum generated from a spontaneous parametric down-conversion. The measured three-photon…

Quantum Physics · Physics 2023-09-19 Lifeng Duan