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Building on recent work by Gammelmark et al. [Phys. Rev. Lett. 111, 160401 (2013)] we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to…

量子物理 · 物理学 2018-04-18 Zhishen Huang , Mohan Sarovar

The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden…

量子物理 · 物理学 2007-05-23 H. Geiger , G. Obermair , Ch. Helm

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

量子物理 · 物理学 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

Quantum metrology enables parameter estimation beyond classical limits by exploiting nonclassical resources such as squeezing and entanglement. In distributed quantum sensing, Heisenberg scaling has been extended from $1/N^2$ to $1/(NM)^2$…

量子物理 · 物理学 2026-03-20 Hanbom Yoo , Hyukgun Kwon , Seongjin Hong

We derive various sampling functions for multimode homodyne tomography with a single local oscillator. These functions allow us to sample multimode s-parametrized quasidistributions, density matrix elements in Fock basis, and s-ordered…

量子物理 · 物理学 2009-11-06 Jaromir Fiurasek

An early approach to include pointers representing measurement devices into quantum mechanics was given by von Neumann. Based on this idea, we model such pointers by qubits and couple them to a free particle, in analogy to a classical…

量子物理 · 物理学 2021-10-22 Bernd Konrad , Fabio Di Pumpo , Matthias Freyberger

The problem of measurement in quantum mechanics is reanalyzed within a general, strictly probabilistic framework (without reduction postulate). Based on a novel comprehensive definition of measurement the natural emergence of objective…

量子物理 · 物理学 2007-05-23 Markus Simonius

We obtain a positive probability distribution or Q-function for an arbitrary fermionic many-body system. This is different to previous Q-function proposals, which were either restricted to a subspace of the overall Hilbert space, or used…

量子物理 · 物理学 2015-03-27 Laura E. C. Rosales-Zarate , P. D. Drummond

We introduce a large class of holomorphic quantum states by choosing their normalization functions to be given by generalized hypergeometric functions. We call them generalized hypergeometric states in general, and generalized…

量子物理 · 物理学 2009-11-10 T. Appl , D. H. Schiller

A phase space distribution associated with a quantum state was previously proposed, which incorporates a specific epistemic restriction parameterized by a global random variable on the order of Planck constant, transparently manifesting…

量子物理 · 物理学 2020-05-15 Agung Budiyono

We propose a new test of local realism based on correlation measurements of continuum valued functions of positions and momenta, known as modular variables. The Wigner representation of these observables are bounded in phase space, and…

量子物理 · 物理学 2015-12-10 Atul S. Arora , Ali Asadian

We introduce a type of measurements that generalize the so-called "partial measurements" performed in recent years with phase qubits. While in the case of partial measurements it has been demonstrated that one could undo the effect of the…

量子物理 · 物理学 2011-06-06 G. S. Paraoanu

The probability distribution of a time measurement $T_x$ at position $x$ can be inferred from the probability distribution of a position measurement $X_t$ at time $t$ as given by the Born rule [Time-of-arrival distributions for continuous…

量子物理 · 物理学 2025-07-30 Mathieu Beau , Timothey Szczepanski , Rafael Martellini , Lionel Martellini

We use retrodictive quantum theory to describe cavity field measurements by successive atomic detections in the micromaser. We calculate the state of the micromaser cavity field prior to detection of sequences of atoms in either the excited…

量子物理 · 物理学 2009-11-07 John Jeffers , Stephen M. Barnett , David T. Pegg

We prove that given a computable metric space and two computable measures, the set of points that have high universal uniform test scores with respect to the first measure will have a lower bound with respect to the second measure. This…

计算复杂性 · 计算机科学 2023-08-01 Samuel Epstein

We theoretically propose and experimentally demonstrate a nonclassicality test of single-mode field in phase space, which has an analogy with the nonlocality test proposed by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Our…

量子物理 · 物理学 2015-06-11 Jiyong Park , Junhua Zhang , Jaehak Lee , Se-Wan Ji , Mark Um , Dingshun Lv , Kihwan Kim , Hyunchul Nha

We consider an overdamped run-and-tumble particle in two dimensions, with self propulsion in an orientation that stochastically rotates by 90 degrees at a constant rate, clockwise or counter-clockwise with equal probabilities. In addition,…

统计力学 · 物理学 2022-11-18 Naftali R. Smith , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

In quantum mechanics, a norm squared wave function can be interpreted as the probability density that describes the likelihood of a particle to be measured in a given position or momentum. This statistical property is at the core of the…

机器学习 · 计算机科学 2020-11-12 Ying-Tao Luo , Peng-Qi Li , Dong-Ting Li , Yu-Gui Peng , Zhi-Guo Geng , Shu-Huan Xie , Yong Li , Andrea Alu , Jie Zhu , Xue-Feng Zhu

We propose a measurement strategy which can, probabilistically, reproduce the statistics of any observable for spatially encoded photonic qubits. It comprises the implementation of a two-outcome positive operator-valued measure followed by…

量子物理 · 物理学 2010-11-16 M. A. Solís-Prosser , L. Neves

Quantum mechanics dictates that a continuous measurement of the position of an object imposes a random back action perturbation on its momentum. This randomness translates with time into position uncertainty, thus leading to the well known…