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The Heisenberg limit provides a quadratic improvement over the standard quantum limit, and is the maximum quantum advantage that quantum sensors could provide over classical methods. This limit remains elusive, however, because of the…

Quantum Physics · Physics 2026-02-19 Yingkai Ouyang , Gavin K. Brennen

For single-parameter sensing, Greenberger-Horne-Zeilinger (GHZ) probes achieve optimal quantum-enhanced precision across the unknown parameter range, solely relying on parameter-independent separable measurement strategies for all values of…

Quantum Physics · Physics 2025-11-07 Mauricio Gutiérrez , Chiranjib Mukhopadhyay , Victor Montenegro , Abolfazl Bayat

The estimation of parameters characterizing dynamical processes is central to science and technology. The estimation error changes with the number N of resources employed in the experiment (which could quantify, for instance, the number of…

Quantum Physics · Physics 2012-01-10 B. M. Escher , R. L. de Matos Filho , L. Davidovich

Pre- and post-selected (PPS) measurement, especially the weak PPS measurement, is a useful protocol for amplifying small physical parameters. However, it is difficult to retain both the attainable highest measurement sensitivity and…

Quantum Physics · Physics 2019-03-27 Zhaoxue Li , Jiangdong Qiu , Xiaodong Qiu , Linguo Xie , Lan Luo , Xiong Liu , Yu He , Qi Wang , Zhiyou Zhang , JingLei Du

We consider the collapse of a macroscopic quantum superposition occurring due to the measurement which optimally distinguishes its branches. Given a macroscopic superposition of N spin-1/2 particles, we use such a Helstrom measurement to…

Quantum Physics · Physics 2015-02-17 T. J. Volkoff

We consider parameter estimations with probes being the boundary driven/dissipated non- equilibrium steady states of XXZ spin 1/2 chains. The parameters to be estimated are the dissipation coupling and the anisotropy of the spin-spin…

Quantum Physics · Physics 2017-08-22 Ugo Marzolino , Tomaž Prosen

Quantum metrology is an auspicious discipline of quantum information which is currently witnessing a surge of experimental breakthroughs and theoretical developments. The main goal of quantum metrology is to estimate unknown parameters as…

Quantum Physics · Physics 2022-01-06 Nathan Shettell

Two-photon absorption (TPA) is of fundamental importance in super-resolution imaging and spectroscopy. Its nonlinear character allows for the prospect of using quantum resources, such as entanglement, to improve measurement precision or to…

Quantum Physics · Physics 2021-09-22 Carlos Sánchez Muñoz , Gaetano Frascella , Frank Schlawin

Studies of quantum metrology have shown that the use of many-body entangled states can lead to an enhancement in sensitivity when compared to product states. In this paper, we quantify the metrological advantage of entanglement in a setting…

The major goal of quantum metrology (QM) is to exploit the quantum resources to raise the measurement precision (MP) as high as possible. When the quantum resources such as squeezing has been widely explored, light-mater interaction systems…

Quantum Physics · Physics 2025-09-29 Zu-Jian Ying

In the study of Heisenberg's error-disturbance relation, it is commonly believed that the non-unitary change of states hinders us from deducing the information encoded in original states about subsequently measured observable. However, we…

Quantum Physics · Physics 2014-10-30 Liang-Liang Sun , Yong-Shun Song , Zhi-Xin Chen , Cong-Feng Qiao

We have investigated high-precision measurements, beyond the standard quantum limit, utilizing non-classical states. Although entanglement has been considered a resource for achieving the Heisenberg limit in measurements, we show that any…

Quantum Physics · Physics 2015-05-13 Todd Tilma , Shinichiro Hamaji , W. J. Munro , Kae Nemoto

We show a protocol achieving the ultimate Heisenberg-scaling sensitivity in the estimation of a parameter encoded in a generic linear network, without employing any auxiliary networks, and without the need of any prior information on the…

Quantum Physics · Physics 2022-02-07 Danilo Triggiani , Paolo Facchi , Vincenzo Tamma

Quantum metrology promises improved sensitivity in parameter estimation over classical procedures. However, there is an extensive debate over the question how the sensitivity scales with the resources (such as the average photon number) and…

Quantum Physics · Physics 2010-11-10 Marcin Zwierz , Carlos A. Perez-Delgado , Pieter Kok

Quantum-enhanced measurements exploit quantum mechanical effects to provide ultra-precise estimates of physical variables for use in advanced technologies, such as frequency calibration of atomic clocks, gravitational waves detection, and…

Quantum Physics · Physics 2014-07-28 J. Calsamiglia , B. Gendra , R. Munoz-Tapia , E. Bagan

Quantum metrology allows for a tremendous boost in the accuracy of measurement of diverse physical parameters. The estimation of a rotation constitutes a remarkable example of this quantum-enhanced precision. The recently introduced Kings…

Uncertainty principle is one of the fundamental principles of quantum mechanics. Exploring such uncertainty relations in pre- and postselected (PPS) systems, where weak measurements on post-selected states have been used as a powerful tool…

Optics · Physics 2024-12-19 Yue Zhang , Xinyang Che , Yuanbang Wei , Rui Tian , Yi-an Li , Miao Zhang , Shuai Li , Bo Liu

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…

Quantum Physics · Physics 2010-07-20 Hugo Cable , Gabriel A. Durkin

The Heisenberg limit traditionally provides a lower bound on the phase uncertainty scaling as 1/<N>, where <N> is the mean number of photons in the probe. However, this limit has a number of loopholes which potentially might be exploited,…

Quantum Physics · Physics 2015-06-03 Michael J. W. Hall , Dominic W. Berry , Marcin Zwierz , Howard M. Wiseman

We apply scaling and the theory of the fundamental limits of the second-order molecular susceptibility to identify material classes with ultralarge nonlinear-optical response. Size effects are removed by normalizing all nonlinearities to…

Optics · Physics 2016-11-03 Javier Perez-Moreno , Shoresh Shafei , Mark G. Kuzyk