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It is shown that the condition for achieving the quantum Cramer-Rao bound of phase estimation in conventional two-path interferometers is that the state is symmetric with regard to an (unphysical) exchange of the two paths. Since path…

量子物理 · 物理学 2009-03-17 Holger F. Hofmann

Based on the conventional Mach-Zehnder interferometer, we propose a metrological scheme to improve phase sensitivity. In this scheme, we use a coherent state and a squeezed vacuum state as input states, employ multi-photon-subtraction…

量子物理 · 物理学 2025-05-08 Qisi Zhou , Qinqian Kang , Tao Jiang , Zekun Zhao , Teng Zhao , Cunjin Liu , Liyun Hu

We analytically investigate the sensitivity of Kerr nonlinear phase estimation in a Mach-Zehnder interferometer with two-mode squeezed vacuum states. We find that such a metrological scheme could access a sensitivity scaling over the Boixo…

量子物理 · 物理学 2022-03-23 Yun-Feng Guo , Wei Zhong , Lan Zhou , Yu-Bo Sheng

The Cram\'{e}r-Rao bound plays a central role in both classical and quantum parameter estimation, but finding the observable and the resulting inversion estimator that saturates this bound remains an open issue for general multi-outcome…

量子物理 · 物理学 2019-05-01 J. Z. Wang , Z. Q. Yang , A. X. Chen , W. Yang , G. R. Jin

The use of an interferometer to perform an ultra-precise parameter estimation under noisy conditions is a challenging task. Here we discuss nearly optimal measurement schemes for a well known,sensitive input state, squeezed vacuum and…

Multimode Gaussian quantum light, including multimode squeezed and/or multipartite quadrature entangled light, is a very general and powerful quantum resource with promising applications to quantum information processing and metrology…

量子物理 · 物理学 2010-08-05 Olivier Pinel , Julien Fade , Nicolas Treps , Claude Fabre

We theoretically analyze a Mach-Zehnder interferometer with trapped condensates, and find that it is surprisingly stable against the nonlinearity induced by inter-particle interactions. The phase sensitivity, which we study for number…

量子物理 · 物理学 2011-08-17 Julian Grond , Ulrich Hohenester , Joerg Schmiedmayer , Augusto Smerzi

Interferometry with quantum light is known to provide enhanced precision for estimating a single phase. However, depending on the parameters involved, the quantum limit for the simultaneous estimation of multiple parameters may not…

量子物理 · 物理学 2014-03-07 Philip J. D. Crowley , Animesh Datta , Marco Barbieri , Ian A. Walmsley

Entangled coherent states are shown to emerge, with high fidelity, when mixing coherent and squeezed vacuum states of light on a beam-splitter. These maximally entangled states, where photons bunch at the exit of a beamsplitter, are…

量子物理 · 物理学 2019-05-31 Yonatan Israel , Lior Cohen , Xin-Bing Song , Jaewoo Joo , Hagai S. Eisenberg , Yaron Silberberg

Tracking a randomly varying optical phase is a key task in metrology, with applications in optical communication. The best precision for optical phase tracking has till now been limited by the quantum vacuum fluctuations of coherent light.…

Quantum Cramer-Rao (QCR) bound is attached to a particular nonclassical state, therefore appropriate choice of the probe state is of the key importance to enhance sensitivity beyond classical one. Since the work of C.M. Caves (Phys. Rev. D…

量子物理 · 物理学 2025-02-05 Mikhail S. Podoshvedov , Sergey A. Podoshvedov

Photon number states are assigned a parity of if their photon number is even and a parity of if odd. The parity operator, which is minus one to the power of the photon number operator, is a Hermitian operator and thus a quantum mechanical…

量子物理 · 物理学 2015-05-19 Christopher C. Gerry , Jihane Mimih

We establish the multiparameter quantum Cram\'er-Rao bound for simultaneously estimating the centroid, the separation, and the relative intensities of two incoherent optical point sources using alinear imaging system. For equally bright…

量子物理 · 物理学 2017-12-13 J. Rehacek , Z. Hradil , B. Stoklasa , M. Paur , J. Grover , A. Krzic , L. L. Sanchez-Soto

The Cram\'er-Rao bound and the quantum Fisher information have been tools used extensively for interferometric phase sensitivity. Most scenarios considering a Mach-Zehnder interferometer with two input sources focused on the phase-matched…

量子物理 · 物理学 2019-05-08 Anca Preda , Stefan Ataman

We explore the advantages offered by twin light beams produced in parametric down-conversion for precision measurement. The symmetry of these bipartite quantum states, even under losses, suggests that monitoring correlations between the…

量子物理 · 物理学 2010-07-20 Hugo Cable , Gabriel A. Durkin

In quantum parameter estimation, the quantum Cram\'er-Rao bound (QCRB) sets a fundamental limit on the precision achievable with unbiased estimators. It relates the uncertainty in estimating a parameter to the inverse of the quantum Fisher…

Intense spatio-spectral twin beams generated in the regime with pump depletion are analyzed applying a suggested quantum model that treats the signal, idler and pump fields in the same way. The model assumes the signal and idler fields in…

量子物理 · 物理学 2017-09-26 Jan Perina

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

We demonstrate theoretically and experimentally how the diffraction and interferometric resolution limit for single-mode coherent cw laser light can be overcome by multi-photon interference. By use of a Mach-Zehnder interferometer, operated…

量子物理 · 物理学 2024-04-02 Sangbae Kim , Joachim Stohr , Fabian Rotermund , Byoung S. Ham

Distributed quantum sensing exploits entanglement to enhance the estimation of multiple parameters across a network of spatially-separated sensors, achieving sensitivities beyond the classical limit. Potential applications cover a plethora…