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Quantum mechanics provides a statistical description about nature, and thus would be incomplete if its statistical predictions could not be accounted for some realistic models with hidden variables. There are, however, two powerful theorems…

We present the first experimental confirmation of the quantum-mechanical prediction of stronger-than-binary correlations. These are correlations that cannot be explained under the assumption that the occurrence of a particular outcome of an…

Measurement uncertainty and experimental error are important concepts taught in undergraduate physics laboratories. Although student ideas about error and uncertainty in introductory classical mechanics lab experiments have been studied…

物理教育 · 物理学 2021-09-20 Emily M. Stump , Courtney L. White , Gina Passante , N. G. Holmes

We experimentally observed state-independent violations of Kochen-Specker inequalities for the simplest indivisible quantum system manifesting quantum contextuality, a three-level (qutrit) system. We performed the experiment with a single…

量子物理 · 物理学 2013-02-27 Xiang Zhang , Mark Um , Junhua Zhang , Shuoming An , Ye Wang , Dong-ling Deng , Chao Shen , Luming Duan , Kihwan Kim

The violation of the Cauchy-Schwarz and Bell inequalities ranks among the major evidences of the genuinely quantum nature of an emitter. We show that by dispensing from the usual approximation of mode correlations and studying directly…

量子物理 · 物理学 2015-06-19 Carlos Sánchez Muñoz , Elena del Valle , Carlos Tejedor , Fabrice P. Laussy

Characterising unknown quantum states and measurements is a fundamental problem in quantum information processing. In this Letter, we provide a novel scheme to self-test local quantum systems using non-contextuality inequalities. Our work…

As we approach the era of quantum advantage, when quantum computers (QCs) can outperform any classical computer on particular tasks, there remains the difficult challenge of how to validate their performance. While algorithmic success can…

We consider classical and quantum algorithms which have a duality property: roughly, either the algorithm provides some nontrivial improvement over random or there exist many solutions which are significantly worse than random. This enables…

量子物理 · 物理学 2019-11-13 M. B. Hastings

We suggest a somewhat non-standard view on a set of curious, paradoxical from the standpoint of simple classical physics and everyday experience phenomena. There are the quantisation (discrete set of values) of the observables (e.g.,…

高能物理 - 理论 · 物理学 2024-06-25 A. Anokhina , M. Satleikin , A. Sedova , A. Shukakidze

The Leggett-Garg inequalities are a set of inequalities obeyed by classical systems but violated in quantum theory. Their violation has been taken as evidence that quantum theory lacks a `realistic' formulation. However in addition to…

量子物理 · 物理学 2013-10-09 JM Yearsley

We explore the relationship between Kochen-Specker quantum contextuality and Bell-nonclassicality for ensembles of two-qubit pure states. We present a comparative analysis showing that the violation of a noncontextuality inequality on a…

量子物理 · 物理学 2024-02-26 Giovanni Scala , Antonio Mandarino

Random numbers represent an indispensable resource for many applications. A recent remarkable result is the realization that non-locality in quantum mechanics can be used to certify genuine randomness through Bell's theorem, producing…

量子物理 · 物理学 2013-01-28 D. -L. Deng , C. Zu , X. -Y. Chang , P. -Y. Hou , H. -X. Yang , Y. -X. Wang , L. -M. Duan

Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background…

广义相对论与量子宇宙学 · 物理学 2014-07-16 Eleni-Alexandra Kontou , Ken D. Olum

Quantum computers are reaching a level where interactions between classical and quantum computations can happen in real-time. This marks the advent of a new, broader class of quantum circuits: dynamic quantum circuits. They offer a broader…

量子物理 · 物理学 2023-01-11 Lukas Burgholzer , Robert Wille

We study the dynamics of a two-level quantum system interacting with an external electromagnetic field periodic and quasiperiodic in time. The quantum evolution is described exactly by the classical equations of motion of a gyromagnet in a…

量子物理 · 物理学 2009-11-11 Renato M. Angelo , Walter F. Wreszinski

We consider highly inaccurate measurements made on classical stochastic and quantum systems. In the quantum case such a \e{weak} measurement preserves coherence between the system's alternatives. We demonstrate that in both cases the…

量子物理 · 物理学 2026-03-16 D. Sokolovski , D. Alonso , S. Brouard

The problem of sampling outputs of quantum circuits has been proposed as a candidate for demonstrating a quantum computational advantage (sometimes referred to as quantum "supremacy"). In this work, we investigate whether quantum advantage…

量子物理 · 物理学 2021-06-09 Leonardo Novo , Juani Bermejo-Vega , Raúl García-Patrón

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other…

The causal structure of any experiment implies restrictions on the observable correlations between measurement outcomes, which are different for experiments exploiting classical, quantum, or post-quantum resources. In the study of Bell…

Various inequalities (Boole inequality, Chung-Erd\"os inequality, Frechet inequality) for Kolmogorov (classical) probabilities are considered. Quantum counterparts of these inequalities are introduced, which have an extra `quantum…

量子物理 · 物理学 2019-03-20 A. Vourdas