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Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as it has been developed so far is not complete. Whereas the manner in which inferences are made in classical probability theory is…

量子物理 · 物理学 2013-12-04 M. S. Leifer , R. W. Spekkens

The Euclidean algorithm makes possible a simple but powerful generalization of Taylor's theorem. Instead of expanding a function in a series around a single point, one spreads out the spectrum to include any number of points with given…

数值分析 · 数学 2007-10-02 Garret Sobczyk

This article introduces Universal Quantum Relativity which is a simple Theory of Everything. It relies on an ultimate doctrine that is the absence of absolute existence. This generalizes relativity principles up to a mother quantum theory.…

综合物理 · 物理学 2011-08-25 Stephane A. Bronoff

We show, for any finite $n \geq 2$, that there exist quantum correlations obtained from performing $n$ dichotomic quantum measurements in a bipartite Bell scenario, which cannot be reproduced by mixtures of measurement devices with at most…

量子物理 · 物理学 2025-07-16 Lucas Tendick

Pure states are very important in any theory since they represent states of maximal information about the system within the theory. Here, we show that no non-trivial (not local realistic) extremal states (boxes) of general no-signaling…

量子物理 · 物理学 2016-08-03 Ravishankar Ramanathan , Jan Tuziemski , Michał Horodecki , Paweł Horodecki

The paper establishes an analog Whittaker-Shannon-Kotelnikov sampling theorem with fast decreasing coefficient, as well as a new modification of the corresponding interpolation formula applicable for general type non-vanishing bounded…

信息论 · 计算机科学 2024-06-19 Nikolai Dokuchaev

Two of the fundamental no-go theorems of quantum information are the no-cloning theorem (that it is impossible to make copies of general quantum states) and the no-teleportation theorem (the prohibition on telegraphing, or sending quantum…

量子物理 · 物理学 2024-10-22 Barak Nehoran , Mark Zhandry

Little effort has been devoted to studying generalised notions or models of (un)predictability, yet is an important concept throughout physics and plays a central role in quantum information theory, where key results rely on the supposed…

量子物理 · 物理学 2020-01-27 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

The idea that non-local correlations stronger than quantum correlations between two no-signaling systems could theoretically exist is based on an incorrect statistical interpretation of the no-signaling condition. This article shows that…

量子物理 · 物理学 2021-07-23 Pierre Uzan

We prove new quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well known no-cloning and…

量子物理 · 物理学 2017-07-12 Marius Lemm , Mark M. Wilde

This paper builds on no-go theorems to the effect that quantum theory is inconsistent with observations being absolute; that is, unique and non-relative. Unlike the existing no-go results, the one introduced here is based on a…

量子物理 · 物理学 2022-09-09 Nick Ormrod , Jonathan Barrett

We present an information theoretic proof of the nonsignalling multiprover parallel repetition theorem, a recent extension of its two-prover variant that underlies many hardness of approximation results. The original proofs used de Finetti…

信息论 · 计算机科学 2019-02-01 Himanshu Tyagi , Shun Watanabe

This article identifies a series of properties common to all theories that do not allow for superluminal signaling and predict the violation of Bell inequalities. Intrinsic randomness, uncertainty due to the incompatibility of two…

量子物理 · 物理学 2009-11-11 Ll. Masanes , A. Acin , N. Gisin

Identifying non-classicality unambiguously and inexpensively is a long-standing open challenge in physics. The No-Signalling-In-Time protocol was developed as an experimental test for macroscopic realism, and serves as a witness of quantum…

量子物理 · 物理学 2018-11-28 George C. Knee , Max Marcus , Luke D. Smith , Animesh Datta

Quantum retrodiction is a time-symmetric approach to quantum mechanics with applications in a number of important problems. One of the major challenges to its more widespread applicability is the restriction of its symmetric formalism to…

量子物理 · 物理学 2020-06-30 Dov Fields , Abdelali Sajia , János A. Bergou

I propose a general quantum hypothesis testing theory that enables one to test hypotheses about any aspect of a physical system, including its dynamics, based on a series of observations. For example, the hypotheses can be about the…

量子物理 · 物理学 2012-04-30 Mankei Tsang

The no-programming theorem prohibits the existence of a Universal Programmable Quantum Processor. This statement has several implications in relation to quantum computation, but also to other tasks of quantum information processing, making…

量子物理 · 物理学 2019-04-02 Aleksander M. Kubicki , Carlos Palazuelos , David Pérez-García

We derive a generalized Stokes' theorem, valid in any dimension and for arbitrary loops, even if self intersecting or knotted. The generalized theorem does not involve an auxiliary surface, but inherits a higher rank gauge symmetry from the…

高能物理 - 理论 · 物理学 2008-02-03 N. Bralic

Let Alice and Bob be able to make local quantum measurements and communicate classically. The set of mathematically consistent joint probability assignments (``states'') for such measurements is properly larger than the set of…

量子物理 · 物理学 2007-05-23 Howard Barnum , Christopher A. Fuchs , Joseph M. Renes , Alexander Wilce

A bipartite quantum channel represents the interaction between systems, generally allowing for exchange of information. A special class of bipartite channels are the no-signaling ones, which do not allow communication. In Ref. [1] it has…

量子物理 · 物理学 2011-01-28 Giacomo Mauro D'Ariano , Stefano Facchini , Paolo Perinotti