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A transfer matrix technique is used to model phase coherent spin transport in the weakly disordered quasi one-dimensional channel of a gate-controlled electron spin interferometer [Datta and Das, Appl. Phys. Lett., 56, 665 (1990)]. It…

介观与纳米尺度物理 · 物理学 2009-11-10 M. Cahay , S. Bandyopadhyay

The quantum Cram\'er-Rao bound is a cornerstone of modern quantum metrology, as it provides the ultimate precision in parameter estimation. In the multiparameter scenario, this bound becomes a matrix inequality, which can be cast to a…

量子物理 · 物理学 2021-09-15 Aaron Z. Goldberg , Luis L. Sánchez-Soto , Hugo Ferretti

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most…

量子物理 · 物理学 2010-01-28 Garry Goldstein , Mikhail D. Lukin , Paola Cappellaro

We apply the formalism of quantum estimation theory to obtain information about the value of the nonlinear optomechanical coupling strength. In particular, we discuss the minimum mean-square error estimator and a quantum Cram\'er--Rao-type…

量子物理 · 物理学 2021-01-07 József Zsolt Bernád , Claudio Sanavio , André Xuereb

In quantum multi-parameter estimation, the precision of estimating unknown parameters is bounded by the Cramer-Rao bound (CRB), defined via the inverse of the Fisher information matrix (FIM). However, in certain scenarios such as…

量子物理 · 物理学 2025-11-18 Min Namkung , Changhyoup Lee , Hyang-Tag Lim

The attainability of the quantum Cram\'er-Rao bound [QCR], the ultimate limit in the precision of the estimation of a physical parameter, requires the saturation of the quantum information bound [QIB]. This occurs when the Fisher…

量子物理 · 物理学 2017-04-26 Fabricio Toscano , Wellison P. Bastos , Ruynet L. de Matos Filho

We are pursuing a capability to perform time resolved manipulations of single spins in quantum dot circuits involving more than two quantum dots. In this paper, we demonstrate full counting statistics as well as averaging techniques we use…

介观与纳米尺度物理 · 物理学 2015-05-14 L. Gaudreau , A. Kam , J. B. Kycia , S. Studenikin , G. Granger , P. D. Mason , P. Zawadzki , A. S. Sachrajda

We propose a time-independent Hamiltonian protocol for the reversal of qubit ordering in a chain of $N$ spins. Our protocol has an easily implementable nearest-neighbor, transverse-field Ising model Hamiltonian with time-independent,…

量子物理 · 物理学 2022-06-17 Aniruddha Bapat , Eddie Schoute , Alexey V. Gorshkov , Andrew M. Childs

For a fixed average energy, the simultaneous estimation of multiple phases can provide a better total precision than estimating them individually. We show this for a multimode interferometer with a phase in each mode, using Gaussian inputs…

量子物理 · 物理学 2016-11-03 Christos N. Gagatsos , Dominic Branford , Animesh Datta

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

Estimation of parameters is a pivotal task throughout science and technology. Quantum Cram\'{e}r-Rao bound provides a fundamental limit of precision allowed to achieve under quantum theory. For closed quantum systems, it has been shown how…

量子物理 · 物理学 2014-04-01 S. Alipour , M. Mehboudi , A. T. Rezakhani

We propose a protocol to overcome the shot noise limit and reach the Heisenberg scaling limit for parameter estimation by using quantum optimal control and a time-reversal strategy. Exemplified through the phase estimation, which can play…

量子物理 · 物理学 2023-12-25 Da-Wei Luo , Ting Yu

This paper explores the sensitivity gains afforded by spin-squeezed states in atom interferometry, in particular using Bragg diffraction. We introduce a generalised input-output formalism that accurately describes realistic, non-unitary…

量子物理 · 物理学 2026-05-29 Julian Günther , Jan-Niclas Kirsten-Siemß , Naceur Gaaloul , Klemens Hammerer

We consider the problem of quantum phase estimation with access to arbitrary measurements in a single suboptimal basis. The achievable sensitivity limit in this case is determined by the classical Cram\'{e}r-Rao bound with respect to the…

量子物理 · 物理学 2019-09-19 Manuel Gessner

We present a detailed analysis of spin squeezing of the one-axis twisting model with a many-body phase dephasing, which is induced by external field fluctuation in a two-mode Bose-Einstein condensates. Even in the presence of the dephasing,…

量子物理 · 物理学 2013-12-16 C. G. Ji , Y. C. Liu , G. R. Jin

Interactions among sensors can provide, in addition to entanglement, an important resource for boosting the precision in quantum estimation protocols. Dephasing noise, however, remains a leading source of decoherence in state-of-the-art…

量子物理 · 物理学 2025-01-03 Francisco Riberi , Lorenza Viola

Critical metrology relies on the precise preparation of a system in its ground state near a quantum phase transition point where quantum correlations get very strong. Typically this increases the quantum Fisher information with respect to…

量子物理 · 物理学 2024-02-12 Christoph Hotter , Helmut Ritsch , Karol Gietka

Time-resolved atom interferometry, as employed in applications such as gravitational wave detection and searches for ultra-light dark matter, requires precise control over systematic effects. In this work, we investigate phase noise arising…

原子物理 · 物理学 2025-11-25 Noam Mouelle , Jeremiah Mitchell , Valerie Gibson , Ulrich Schneider

We propose and analyze a quantum interferometry scheme based on a Raman-dressed Bose gas with spin-orbit coupling. In this system, the atom-light coupling mixes spin and momentum degrees of freedom, giving rise, in the low-energy regime, to…

量子气体 · 物理学 2026-05-04 Renfei Zheng , Junying Wu , Josep Cabedo , Alessio Celi , Zhihao Lan , Weiping Zhang , Lu Zhou

To implement arbitrary quantum circuits in architectures with restricted interactions, one may effectively simulate all-to-all connectivity by routing quantum information. We consider the entanglement dynamics and routing between two…