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We first review and critically examine some basic concepts and ambiguities related to quantum mechanics and quantum measurement to understand the success and shortcomings of current theories. We also touch on ideas regarding expression of…

Quantum Physics · Physics 2009-11-05 Fariel Shafee

We prove that all deterministic hidden-variables theories, that reproduce quantum theory for a 'quantum equilibrium' distribution of hidden variables, predict the existence of instantaneous signals at the statistical level for hypothetical…

Quantum Physics · Physics 2009-11-07 Antony Valentini

We examine the quantum states produced through parametric amplification with internal quantum noise. The internal diffusion arises by coupling both modes of light to a reservoir for the duration of the interaction time. The Wigner function…

Quantum Physics · Physics 2009-11-10 Sonja Daffer , Krzysztof Wodkiewicz , John K. McIver

Violation of Bell inequality is a prominent detection method for quantum correlations present in composite quantum systems, both in finite and infinite dimensions. We investigate the consequence on the violation of local realism based on…

Quantum Physics · Physics 2018-12-05 Saptarshi Roy , Titas Chanda , Tamoghna Das , Aditi Sen De , Ujjwal Sen

We relate the nonlocal properties of noisy entangled states to Grothendieck's constant, a mathematical constant appearing in Banach space theory. For two-qubit Werner states $\rho^W_p=p \proj{\psi^-}+(1-p){\one}/{4}$, we show that there is…

Quantum Physics · Physics 2009-11-13 Antonio Acin , Nicolas Gisin , Benjamin Toner

The paper investigated a set of non-Gaussian states generated by measuring the number of particles in one of the modes of a two-mode entangled Gaussian state. It was demonstrated that all generated states depend on two types of parameters:…

Quantum Physics · Physics 2025-01-14 S. B. Korolev , E. N. Bashmakova , T. Yu. Golubeva

We discuss the relation between entanglement and nonlocality in the hidden nonlocality scenario. Hidden nonlocality signifies nonlocality that can be activated by applying local filters to a particular state that admits a local…

Quantum Physics · Physics 2020-02-12 Lucas Tendick , Hermann Kampermann , Dagmar Bruß

We introduce a new quantity for describing nonclassicality of an arbitrary optical two-mode Gaussian state which remains invariant under any global photon-number preserving unitary transformation of the covariance matrix of the state. The…

Quantum Physics · Physics 2016-07-08 Ievgen I. Arkhipov , Jan Peřina , Jiří Svozilík , Adam Miranowicz

Squeezed, nonclassical states are an integral tool of quantum metrology due to their ability to push the sensitivity of a measurement apparatus beyond the limits of classical states. While their creation in light has become a standard…

Quantum Gases · Physics 2021-01-15 Paul Juschitz

Entangled two-mode Gaussian states constitute an important building block for continuous variable quantum computing and communication protocols. In this work, we theoretically study two-mode bipartite states which are extracted from…

Quantum Physics · Physics 2026-01-21 Denis A. Kopylov , Torsten Meier , Polina R. Sharapova

Quantum illumination is to discern the presence or absence of a low reflectivity target, where the error probability decays exponentially in the number of copies used. When the target reflectivity is small so that it is hard to distinguish…

Quantum Physics · Physics 2023-07-10 Dong Hwan Kim , Yonggi Jo , Duk Y. Kim , Taek Jeong , Jihwan Kim , Nam Hun Park , Zaeill Kim , Su-Yong Lee

We investigate the action of local unitary operations on multimode (pure or mixed) Gaussian states and single out the minimal number of locally invariant parametres which completely characterise the covariance matrix of such states. For…

Quantum Physics · Physics 2007-07-10 Alessio Serafini , Gerardo Adesso

If nonlocality is to be inferred from a violation of Bell's inequality, an important assumption is that the measurement settings are freely chosen by the observers, or alternatively, that they are random and uncorrelated with the…

Quantum Physics · Physics 2013-05-29 Jonathan Barrett , Nicolas Gisin

For a general multipartite quantum state, we formulate a locally checkable condition, under which the expectation values of certain nonlocal observables are completely determined by the expectation values of some local observables. The…

Quantum Physics · Physics 2014-05-02 Isaac H. Kim

A simple and efficient method for characterization of multidimensional Gaussian states is suggested and experimentally demonstrated. Our scheme shows analogies with tomography of finite dimensional quantum states, with the covariance matrix…

In measurement-based quantum computing an algorithm is performed by measurements on highly-entangled resource states. To date, several implementations were demonstrated, all of them assuming perfect noise-free environments. Here we consider…

We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state $\sigma$ in order that a local and realistic hidden…

Quantum Physics · Physics 2009-11-13 GianCarlo Ghirardi , Luca Marinatto

We introduce a framework to decompose a bosonic mode into two virtual subsystems-a logical qubit and a gauge mode. This framework allows the entire toolkit of qubit-based quantum information to be applied in the continuous-variable setting.…

Quantum Physics · Physics 2020-07-29 Giacomo Pantaleoni , Ben Q. Baragiola , Nicolas C. Menicucci

We introduce a locally symplectic-invariant quantifier of correlations between two different arbitrary modes in bosonic Gaussian systems, denoted by $\mathcal{D}^{\mathrm{sym}}$. This quantity admits a simple geometric interpretation as an…

Quantum Physics · Physics 2025-12-23 Ivan Agullo , Eduardo Martín-Martínez , Sergi Nadal-Gisbert , Koji Yamaguchi

Gaussian boson sampling (GBS) is a promising protocol for demonstrating quantum computational advantage. One of the key steps for proving classical hardness of GBS is the so-called ``hiding conjecture'', which asserts that one can ``hide''…

Quantum Physics · Physics 2025-09-03 Laura Shou , Sarah H. Miller , Victor Galitski