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Minimax detection of Gaussian stochastic sequences (signals) with unknown covariance matrices is studied. For a fixed false alarm probability (1-st kind error probability), the performance of the minimax detection is being characterized by…

Information Theory · Computer Science 2021-04-14 M. V. Burnashev

The LHC has confirmed the existence of a mass gap between the known particles and possible new states. Effective field theory is then the appropriate tool to search for low-energy signals of physics beyond the Standard Model. We adopt the…

High Energy Physics - Phenomenology · Physics 2020-09-07 Antonio Pich , Ignasi Rosell , Juan José Sanz-Cillero

Highly nonclassical states of light - such as the approximate Gottesman-Kitaev-Preskill states, states exhibiting cubic nonlinear squeezing, or cat-like states - can be generated from experimentally accessible Gaussian states via photon…

Quantum Physics · Physics 2026-05-21 Jaromír Fiurášek

We have explored quantum Einstein-Podolsky-Rosen steering in symmetric two-mode Gaussian states using Gaussian and non-Gaussian measurements. For Gaussian measurements, we show that steering between the output modes of a symmetric…

Quantum Physics · Physics 2022-10-06 Eugenia Benech , Adriana Auyuanet , Arturo Lezama

Optimal transport between classical probability distributions has been proven useful in areas such as machine learning and random combinatorial optimization. Quantum optimal transport, and the quantum Wasserstein distance as the minimal…

We study possible quantum states of two correlated electrons in a two-dimensional crystal and find a metastable energy band of the electron pair between the two lowest single-electron bands. These metastable states result from the interplay…

Strongly Correlated Electrons · Physics 2014-11-10 G. -Q. Hai , L. K. Castelano

We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary functional form…

Quantum Physics · Physics 2015-06-03 Hyunchul Nha , Su-Yong Lee , Se-Wan Ji , M. S. Kim

We define an EPR-like uncertainty by using the Duan et al.'s inequality which gives a necessary and sufficient condition for the separability of any two-mode Gaussian state. We show that for a given amount of entanglement, the uncertainty…

Quantum Physics · Physics 2017-07-11 Yahya Akbari-Kourbolagh , Hoda Alijanzadeh-Boura

We report on a systematic replica approach to calculate the subsystem trace distance for a quantum field theory. This method has been recently introduced in [J. Zhang, P. Ruggiero, P. Calabrese, Phys. Rev. Lett. 122, 141602 (2019)], of…

High Energy Physics - Theory · Physics 2019-11-05 Jiaju Zhang , Paola Ruggiero , Pasquale Calabrese

We search for the optimal quantum pure states of identical bosonic particles for applications in quantum metrology, in particular in the estimation of a single parameter for the generic two-mode interferometric setup. We consider the…

When both the difference between two quantities and their individual values can be measured or computational predicted, multiple quantities can be determined from the measurements or predictions of select individual quantities and select…

Methodology · Statistics 2021-12-24 Huafeng Xu

The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how…

Quantum Physics · Physics 2016-08-14 Jerzy Dajka , Jerzy Łuczka , Peter Hänggi

We analyze the impact of photon loss on the photon-number statistics of Gaussian states. Specifically, we propose and carefully evaluate several methods to mitigate deviations in the photon-number distributions of lossy (displaced) squeezed…

Quantum Physics · Physics 2026-03-24 Hendrik Ellenberg , René Sondenheimer

Suppose we want to benchmark a quantum device held by a remote party, e.g. by testing its ability to carry out challenging quantum measurements outside of a free set of measurements $\mathcal{M}$. A very simple way to do so is to set up a…

Quantum Physics · Physics 2021-12-16 Ludovico Lami

Our goal is to clarify the relation between entanglement and correlation energy in a bipartite system with infinite dimensional Hilbert space. To this aim we consider the completely solvable Moshinsky's model of two linearly coupled…

Quantum Physics · Physics 2010-04-19 L. Martina , G. Ruggeri , G. Soliani

We present a general method to determine the energy minimum of spin Hamiltonians over separable states when the single-particle reduced density matrices are fixed. For ferromagnetic Ising and Ising-like models with nearest-neighbor…

Quantum Physics · Physics 2026-05-21 Géza Tóth , József Pitrik

We investigate the separability of the two-mode Gaussian states by using the variances of a pair of Einstein-Podolsky-Rosen (EPR)-like observables. Our starting point is inspired by the general necessary condition of separability introduced…

Quantum Physics · Physics 2019-05-02 Paulina Marian , Tudor A. Marian

A new method to determine electron correlation energy is described. This method is based on a better representation of the potential due to interacting electrons that is obtained by specifying both the average and standard deviation. The…

Materials Science · Physics 2007-05-23 T. R. S. Prasanna

Entanglement is the backbone of quantum information science and its applications. Entangled states of light are necessary for distributed quantum protocols, quantum sensing and quantum internet. A distributed quantum network requires…

Quantum Physics · Physics 2021-10-04 Tulio Brito Brasil , Valeriy Novikov , Hugo Kerdoncuff , Mikael Lassen , Eugene Polzik

Due to the mass gap between the Standard Model and possible New Physics states, electroweak effective approaches are appropriate. Although a linear realization of the electroweak symmetry breaking with the Higgs forming a doublet together…

High Energy Physics - Phenomenology · Physics 2019-10-07 Ignasi Rosell , Claudius Krause , Antonio Pich , Juan José Sanz-Cillero