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Current metrological bounds typically assume full control over all particles that are involved in the protocol. Relaxing this assumption we study metrological performance when only limited control is available. As an example, we measure a…

Quantum Physics · Physics 2020-04-08 Benedikt Tratzmiller , Qiong Chen , Ilai Schwartz , Susana F. Huelga , Martin B. Plenio

Quantum probing is the art of exploiting simple quantum systems interacting with a complex environment to extract precise information about some environmental parameters, e.g. the temperature of the environment or its spectral density. Here…

Quantum Physics · Physics 2020-08-26 Dario Tamascelli , Claudia Benedetti , Heinz-Peter Breuer , Matteo G. A. Paris

According to quantum theory the interactions between physical systems are quantized. As a direct consequence, measurement sensitivities are fundamentally limited by quantization noise, or just `quantum noise' in short. Furthermore,…

Quantum Physics · Physics 2017-12-19 Roman Schnabel

Significant achievements in the reduction of classical-noise floor will allow macroscopic systems to prepare nearly Heisenberg-Limited quantum states through a continuous measurement, i.e. conditioning. In order to probe the conditional…

In quantum mechanics, the Heisenberg uncertainty relation presents an ultimate limit to the precision by which one can predict the outcome of position and momentum measurements on a particle. Heisenberg explicitly stated this relation for…

Quantum Physics · Physics 2020-11-16 Han Bao , Shenchao Jin , Junlei Duan , Suotang Jia , Klaus Mølmer , Heng Shen , Yanhong Xiao

Certifying the performance of quantum computers requires standardized tests. We propose a simple energy estimation benchmark that is motivated from quantum chemistry. With this benchmark we statistically characterize the noisy outcome of…

Quantum Physics · Physics 2024-05-09 Andreas J. C. Woitzik , Lukas Hoffmann , Andreas Buchleitner , Edoardo G. Carnio

Heisenberg's uncertainty principle results in one of the strangest quantum behaviors: an oscillator can never truly be at rest. Even in its lowest energy state, at a temperature of absolute zero, its position and momentum are still subject…

Quantum Physics · Physics 2015-08-26 F. Lecocq , J. D. Teufel , J. Aumentado , R. W. Simmonds

Incoherence in the controlled Hamiltonian is an important limitation on the precision of coherent control in quantum information processing. Incoherence can typically be modelled as a distribution of unitary processes arising from slowly…

Quantum Physics · Physics 2009-11-10 N. Boulant , S. Furuta , J. Emerson , T. F. Havel , D. G. Cory

We present a protocol for an atomic interferometer that reaches the Heisenberg Limit (HL), within a factor of $\sim$ $\sqrt{2}$, via collective state detection and critical tuning of one-axis twist spin squeezing. It generates a…

Atomic Physics · Physics 2018-08-08 Resham Sarkar , Renpeng Fang , Selim M. Shahriar

We perform high-resolution real-time read-out of the motion of a single trapped and laser-cooled Ba ion. By using an interferometric setup we demonstrate shot-noise limited measurement of thermal oscillations with resolution of 4 times the…

Quantum Physics · Physics 2013-04-17 P. Bushev , G. Hetet , L. Slodicka , D. Rotter , M. A. Wilson , F. Schmidt-Kaler , J. Eschner , R. Blatt

Previously, Bennet and Feynman asked if Heisenberg's uncertainty principle puts a limitation on a quantum computer (Quantum Mechanical Computers, Richard P. Feynman, Foundations of Physics, Vol. 16, No. 6, p597-531, 1986). Feynman's answer…

Mathematical Physics · Physics 2007-05-23 Ken Loo

In this paper, we present a Hamiltonian identification method for a closed quantum system whose time trace observables are measured with colored measurement noise. The dynamics of the quantum system are described by a Liouville equation…

Systems and Control · Computer Science 2020-10-20 Lingyu Tan , Daoyi Dong , Dewei Li , Shibei Xue

We address the characterization of classical fractional random noise via quantum probes. In particular, we focus on estimation and discrimination problems involving the fractal dimension of the trajectories of a system subject to fractional…

Quantum Physics · Physics 2015-06-18 Matteo G. A. Paris

We describe two experimental tests of the Equivalence Principle that are based on frequency measurements between precision oscillators and/or highly accurate atomic frequency standards. Based on comparisons between the hyperfine frequencies…

Heisenberg's uncertainty principle has recently led to general measurement uncertainty relations for quantum systems: incompatible observables can be measured jointly or in sequence only with some unavoidable approximation, which can be…

Quantum Physics · Physics 2017-06-27 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

Since its theoretical sensitivity is limited by quantum noise, radio wave sensing based on Rydberg atoms has the potential to replace its traditional counterparts with higher sensitivity and has developed rapidly in recent years. However,…

Quantum Physics · Physics 2024-03-20 Zheng Wang , Mingyong Jing , Peng Zhang , Shaoxin Yuan , Hao Zhang , Linjie Zhang , Liantuan Xiao , Suotang Jia

We study the sensitivity of a collisional single-atom probe for ultracold gases. Inelastic spin-exchange collisions map information about the gas temperature T or external magnetic field B onto the quantum spin-population of single-atom…

Quantum Physics · Physics 2022-08-17 Jens Nettersheim , Quentin Bouton , Daniel Adam , Artur Widera

Second-generation interferometric gravitational-wave detectors will be operating at the Standard Quantum Limit, a sensitivity limitation set by the trade off between measurement accuracy and quantum back action, which is governed by the…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Yanbei Chen , Stefan L. Danilishin , Farid Ya. Khalili , Helge Müller-Ebhardt

Quantum theory famously entails the existence of incompatible measurements; pairs of observables which cannot be simultaneously measured to arbitrary precision. Incompatibility is widely regarded to be a uniquely quantum phenomenon, linked…

Quantum Physics · Physics 2025-03-10 David Theurel

Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a…

Quantum Physics · Physics 2007-10-31 P. Busch , T. Heinonen , P. Lahti