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Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

Statistics Theory · Mathematics 2007-06-13 Richard D. Gill

We introduce a simple measure of "classicality" of pure and mixed quantum states as a maximum value of the Hilbert-Schmidt "scalar products" between the renormalized statistical operators of the state concerned and all displaced thermal…

Quantum Physics · Physics 2010-06-29 V. V. Dodonov , M. B. Reno

We propose a probabilistic scheme to prepare a maximally entangled state between a pair of two-level atoms inside a leaking cavity, without requiring precise time-controlling of the system evolution and initial atomic state. We show that…

Quantum Physics · Physics 2013-10-24 D. Z. Rossatto , C. J. Villas-Boas

We propose a teleportation protocol involving beam splitting operations and binary-outcome measurements, such as parity measurements. These operations have a straightforward implementation using the dispersive regime of the Jaynes-Cummings…

Quantum Physics · Physics 2025-08-25 Jingyan Feng , Mohan Zhang , Matteo Fadel , Tim Byrnes

We show how the Bell correlations can be modelled locally by relaxing the joint probability relation for independent variables $P(a,b)=P(a)P(b)$ outside classical settings, with complex/quaternion generators for the measurement outcomes…

Quantum Physics · Physics 2020-03-11 Anna Karlsson

We investigate whether it is possible to teleport the coherence of an unknown quantum state from Alice to Bob by communicating a lesser number of classical bits in comparison to what is required for teleporting an unknown quantum state. We…

Quantum Physics · Physics 2023-11-02 Sohail , Arun K Pati , Vijeth Aradhya , Indranil Chakrabarty , Subhasree Patro

We describe a general procedure for associating a minimal informationally-complete quantum measurement (or MIC) and a set of linearly independent post-measurement quantum states with a purely probabilistic representation of the Born Rule.…

Quantum Physics · Physics 2023-12-19 John B. DeBrota , Christopher A. Fuchs , Blake C. Stacey

We present a parallel between commutative and non-commutative polymorphisms. Our emphasis is the applications to conditional distributions from stochastic processes. In the classical case, both the measures and the positive definite kernels…

Quantum Physics · Physics 2025-01-22 Palle E. T. Jorgensen , James Tian

As small quantum computers are becoming available on different physical platforms, a benchmarking task known as cross-platform verification has been proposed that aims to estimate the fidelity of states prepared on two quantum computers.…

Quantum Physics · Physics 2022-06-14 Anurag Anshu , Zeph Landau , Yunchao Liu

A three level atom in $\Lambda$ configuration is reduced to an effective two level system, under appropriate conditions, and its $\mathcal{PT}$ symmetric properties are investigated. This effective qubit system when subjected to a…

Quantum Physics · Physics 2022-06-10 Javid Naikoo , Subhashish Banerjee , Anirban Pathak

This paper introduces quantum analogues of non-interactive perfect and statistical zero-knowledge proof systems. Similar to the classical cases, it is shown that sharing randomness or entanglement is necessary for non-trivial protocols of…

Quantum Physics · Physics 2007-05-23 Hirotada Kobayashi

We propose a new measure of quantum entanglement. Our measure is defined in terms of conditional information transmission for a Quantum Bayesian Net. We show that our measure is identically equal to the Entanglement of Formation in the case…

Quantum Physics · Physics 2007-05-23 Robert R. Tucci

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

Both the set of quantum states and the set of classical states described by symplectic tomographic probability distributions (tomograms) are studied. It is shown that the sets have common part but there exist tomograms of classical states…

Quantum Physics · Physics 2019-02-12 O. V. Man'ko , V. I. Man'ko

A new measure of non-classical correlations is introduced and characterized. It tests the ability of using a state {\rho} of a composite system AB as a probe for a quantum illumination task [e.g. see S. Lloyd, Science 321, 1463 (2008)], in…

Quantum Physics · Physics 2014-07-17 A. Farace , A. De Pasquale , L. Rigovacca , V. Giovannetti

We consider a two-mode stabilized squeezed coherent state (SSCS) of light and introduce the $\Pi_{\rm N}$ indicator, a novel measure for characterizing nonclassicality in the resulting EPR-entangled state. Unlike existing methods based on…

Quantum Physics · Physics 2024-04-22 C. Lee , T. H. Yoon

In classical stochastic theory, the joint probability distributions of a stochastic process obey by definition the Kolmogorov consistency conditions. Interpreting such a process as a sequence of physical measurements with probabilistic…

Quantum Physics · Physics 2023-12-12 Moritz F. Richter , Andrea Smirne , Walter T. Strunz , Dario Egloff

We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical…

Quantum Physics · Physics 2015-07-22 Alexander Streltsov , Soojoon Lee , Gerardo Adesso

Generalized probabilistic theories (GPTs) provide a framework in which a range of possible theories can be examined, including classical theory, quantum theory and those beyond. In general, enlarging the state space of a GPT leads to fewer…

Quantum Physics · Physics 2024-01-17 Giorgos Eftaxias , Mirjam Weilenmann , Roger Colbeck

We show that any number of parties can coherently exchange any one pure quantum state for another, without communication, given prior shared entanglement. Two applications of this fact to the study of multi-prover quantum interactive proof…

Quantum Physics · Physics 2011-03-11 Debbie Leung , Ben Toner , John Watrous