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It is often stated that quantum mechanics only makes statistical predictions and that a quantum state is described by the various probability distributions associated with it. Can we describe a quantum state completely in terms of…

量子物理 · 物理学 2007-05-23 E. C. G. Sudarshan

A Bell test separates quantum mechanics from a classical, local realist theory of physics. However, a Bell test cannot separate quantum physics from all classical theories. Classical devices supplemented with non-signaling correlations,…

量子物理 · 物理学 2017-06-08 Rui Chao , Ben W. Reichardt

In spite of many results in quantum information theory, the complex nature of compound systems is far from being clear. In general the information is a mixture of local, and non-local ("quantum") information. To make this point more clear,…

What kind of object is a quantum state? Is it an object that encodes an exponentially growing amount of information (in the size of the system) or more akin to a probability distribution? It turns out that these questions are sensitive to…

计算复杂性 · 计算机科学 2016-06-23 Ciarán M. Lee , Matty J. Hoban

Quantum theory is compatible with special relativity. In particular, though measurements on entangled systems are correlated in a way that cannot be reproduced by local hidden variables, they cannot be used for superluminal signalling. As…

量子物理 · 物理学 2018-07-17 Adrian Kent

Quantum processes cannot be reduced, in a nontrivial way, to classical processes without specifying the context in the description of a measurement procedure. This requirement is implied by the Kochen-Specker theorem in the…

量子物理 · 物理学 2023-02-08 A. Montina , S. Wolf

Incompatibility is a feature of quantum theory that sets it apart from classical theory, and the inability to clone an unknown quantum state is one of the most fundamental instances. The no-hiding theorem is another such instance that…

量子物理 · 物理学 2025-08-12 Matthew Girling , Cristina Cirstoiu , David Jennings

Quantum resource theory is perhaps the most revolutionary framework that quantum physics has ever experienced. It plays vigorous roles in unifying the quantification methods of a requisite quantum effect as wells as in identifying protocols…

量子物理 · 物理学 2021-10-27 Sanjib Dey

We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the…

量子物理 · 物理学 2009-10-30 Nicolas J. Cerf , Chris Adami

In static classical statistical systems the problem of information transport from a boundary to the bulk finds a simple description in terms of wave functions or density matrices. While the transfer matrix formalism is a type of Heisenberg…

量子物理 · 物理学 2018-05-09 C. Wetterich

Characterizing the nonclassicality of quantum systems under minimal assumptions is an important challenge for quantum foundations and technology. Here we introduce a theory-independent method of process tomography and perform it on a…

量子物理 · 物理学 2026-03-18 Albert Aloy , Matteo Fadel , Thomas D. Galley , Caroline L. Jones , Markus P. Mueller

We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e. does not describe the…

量子物理 · 物理学 2008-05-09 Marco Piani , Pawel Horodecki , Ryszard Horodecki

In the last few years, theoretical study of quantum systems serving as computational devices has achieved tremendous progress. We now have strong theoretical evidence that quantum computers, if built, might be used as a dramatically…

量子物理 · 物理学 2016-11-03 Dorit Aharonov

Quantum theory puts forward phenomena unexplainable by classical physics - or information, for that matter. A prominent example is non-locality. Non-local correlations cannot be explained, in classical terms, by shared information but only…

量子物理 · 物理学 2014-08-26 Helen Ebbe , Stefan Wolf

I propose a new and direct connection between classical mechanics and quantum mechanics where I derive the quantum mechanical propagator from a variational principle. This variational principle is Hamilton's modified principle generalized…

量子物理 · 物理学 2009-12-15 John Hegseth

Quantum theory predicts probabilities as well as relative phases between different alternatives of the system. A unified description of both probabilities and phases comes through a generalisation of the notion of a density matrix for…

量子物理 · 物理学 2016-09-08 Charis Anastopoulos

Quantum theory is known to be nonlocal in the sense that separated parties can perform measurements on a shared quantum state to obtain correlated probability distributions, which cannot be achieved if the parties share only classical…

量子物理 · 物理学 2016-03-02 John Matthew Donohue , Elie Wolfe

Counting the number of clusters, when these clusters overlap significantly is a challenging problem in machine learning. We argue that a purely mathematical quantum theory, formulated using the path integral technique, when applied to…

机器学习 · 计算机科学 2020-01-14 Rohit R Muthyala , Davi Geiger , Zvi M. Kedem

We first present a protocol for deterministically distilling non-locality, building upon a recent result of Forster et al. [Phys. Rev. Lett. 102, 120401 (2009)]. Our protocol, which is optimal for two-copy distillation, works efficiently…

量子物理 · 物理学 2009-04-28 Nicolas Brunner , Paul Skrzypczyk

Quantum coherence and quantum entanglement represent two fundamental features of non-classical systems that can each be characterized within an operational resource theory. In this paper, we unify the resource theories of entanglement and…

量子物理 · 物理学 2016-07-13 Eric Chitambar , Min-Hsiu Hsieh