☆ 4.6 Article

Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

PHYSICAL REVIEW A (2023)

Related references

Note: Only part of the references are listed.

Article Physics, Multidisciplinary

Contextuality without Incompatibility

John H. Selby et al.

Summary: Incompatible measurements are often seen as a characteristic of quantum theory that distinguishes it from classical worldviews. However, a more general notion of classicality is the existence of a generalized-noncontextual ontological model. This notion can imply constraints on the representation of outcomes even within a single nonprojective measurement. We demonstrate that measurement incompatibility is not necessary nor sufficient for proofs of the failure of generalized noncontextuality, and that every proof of the failure of generalized noncontextuality can be converted into a corresponding scenario without incompatible measurements.

PHYSICAL REVIEW LETTERS (2023)

Add to Collection

Article Optics

Revealing quantum contextuality using a single measurement device

Jaskaran Singh et al.

Summary: In this paper, the concept of measurement noncontextuality (MNC) is analyzed and contextual scenarios involving sequential measurements of a single measurement device are identified. It is proven that any noncontextual ontological model fails to explain the statistics of outcomes of a single carefully constructed positive-operator-valued measure (POVM) executed sequentially on a quantum system. An inequality is derived from the noncontextual (NC) ontic model, and a quantum situation involving measurements from the Klyachko-Can-Binicioglu-Shumovsky (KCBS) inequality is constructed. It is shown that the statistics generated by this device violate the NC inequality.

PHYSICAL REVIEW A (2023)

Add to Collection

Article Physics, Multidisciplinary

Entanglement and Superposition Are Equivalent Concepts in Any Physical Theory

Guillaume Aubrun et al.

Summary: This article mainly discusses the equivalence between general probabilistic theories in the post-quantum GPT setting, as well as the importance of superposition states.

PHYSICAL REVIEW LETTERS (2022)

Add to Collection

Article Quantum Science & Technology

Post-quantum steering is a stronger-than-quantum resource for information processing

Paulo J. Cavalcanti et al.

Summary: This article presents the application of post-quantum steering in information processing and demonstrates its significance and potential applications through the construction of a new probabilistic theory.

NPJ QUANTUM INFORMATION (2022)

Add to Collection

Article Quantum Science & Technology

Solvable Criterion for the Contextuality of any Prepare-and-Measure Scenario

Victor Gitton et al.

Summary: This study constructs an operationally noncontextual ontological model for quantum statistics in the prepare-and-measure scenario, covering the non-tomographically complete case and introducing the concept of unit separability. By formulating unit separability as a set of linear constraints, the study presents two hierarchies of algorithmic tests to witness or certify the classicality of a scenario. The results are discussed in the context of generalized probabilistic theories and implications for simplex-embeddability are addressed.

QUANTUM (2022)

Add to Collection

Article Physics, Multidisciplinary

Uniqueness of Noncontextual Models for Stabilizer Subtheories

David Schmid et al.

Summary: This study provides a complete characterization of the (non)classicality of all stabilizer subtheories. It proves that there is a unique nonnegative and diagram-preserving quasiprobability representation of the stabilizer subtheory in all odd dimensions, known as Gross's discrete Wigner function. This representation is equivalent to Spekkens' epistemically restricted toy theory, establishing it as the unique noncontextual ontological model for the stabilizer subtheory. On the other hand, in all even dimensions, it is shown that there does not exist any nonnegative and diagram-preserving quasiprobability representation of the stabilizer subtheory, indicating its contextual nature.

PHYSICAL REVIEW LETTERS (2022)

Add to Collection

Article Physics, Multidisciplinary

Contextuality in entanglement-assisted one-shot classical communication

Shiv Akshar Yadavalli et al.

Quantum (2022)

Add to Collection

Article Optics

Experimentally bounding deviations from quantum theory for a photonic three-level system using theory-agnostic tomography

Michael J. Grabowecky et al.

Summary: Researchers implemented GPT tomography on a three-level quantum system using the framework of generalized probabilistic theories (GPTs), allowing theory-agnostic analysis of experimental data. The analysis identified the most likely dimension of the GPT vector space describing the system to be nine, consistent with quantum theory predictions. Additionally, quantitative bounds on possible deviations from quantum theory were determined by identifying polytopes that bounded the state and effect spaces of the true GPT.

PHYSICAL REVIEW A (2022)

Add to Collection

Article Quantum Science & Technology

How dynamics constrains probabilities in general probabilistic theories

Thomas D. Galley et al.

Summary: The article introduces a general framework for analysing general probabilistic theories that emphasizes the distinction between the dynamical and probabilistic structures of a system. It shows that for transitive dynamical structures, probabilistic structures are rigid and correspond to spherical representations of the dynamical group. The methods are applied to classify all probabilistic structures when the dynamical structure involves complex Grassmann manifolds acted on by the unitary group.

QUANTUM (2021)

Add to Collection

Article Quantum Science & Technology

Interference as an information-theoretic game

Sebastian Horvat et al.

Summary: The experiments demonstrate a clear distinction between classical, quantum, and higher-order theories, with interference order corresponding to parity order in games. Interference order is shown to be additive in both classical and quantum theory, serving as a device-independent witness of particle number in the quantum setting. Results suggest the operational significance of interference order and may be important in identifying information-theoretic principles in second-order interference within quantum theory.

QUANTUM (2021)

Add to Collection

Article Mathematics

ENTANGLEABILITY OF CONES

Guillaume Aubrun et al.

Summary: This research solves a long-standing conjecture by Barker, showing that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if and only if one of the cones is generated by a linearly independent set. The proof techniques involve a combination of convex geometry, elementary algebraic topology, and computations inspired by quantum information theory. The motivation behind the study comes from foundational physics, demonstrating that any two non-classical systems modeled by general probabilistic theories can be entangled.

GEOMETRIC AND FUNCTIONAL ANALYSIS (2021)

Add to Collection

Article Quantum Science & Technology

General Probabilistic Theories with a Gleason-type Theorem

Victoria J. Wright et al.

Summary: Gleason-type theorems allow for the recovery of quantum state space by consistently assigning probabilities to measurement outcomes and having a unique state for each assignment. The class of general probabilistic theories that adhere to Gleason-type theorems includes theories satisfying the no-restriction hypothesis and others that can simulate such theories effectively. The standard no-restriction hypothesis applied to effects is not equivalent to the dual no-restriction hypothesis applied to states, which is found to be less restrictive.

QUANTUM (2021)

Add to Collection

Article Quantum Science & Technology

Emergence of Noncontextuality under Quantum Darwinism

Roberto D. Baldijao et al.

Summary: Quantum Darwinism suggests that the proliferation of redundant information is crucial for the emergence of objectivity from the quantum world. Research indicates that if the environment effectively encodes the proliferated information, classical objectivity can be unambiguously said to have emerged under quantum Darwinism.

PRX QUANTUM (2021)

Add to Collection

Article Physics, Multidisciplinary

Universal structure of objective states in all fundamental causal theories

Carlo Maria Scandolo et al.

Summary: The text discusses how objective and classical behavior emerges from a fundamental physical theory, providing a definition of decoherence applicable in all causal theories. Despite the diverse behavior of decoherence, it is shown that the spectrum broadcast structure characterizes objective states in every fundamental causal theory, similar to quantum mechanics. This highlights a stark contrast between the varied decoherence behavior and the universal features of objectivity.

PHYSICAL REVIEW RESEARCH (2021)

Add to Collection

Article Quantum Science & Technology

Contextuality of General Probabilistic Theories

Farid Shahandeh

Summary: The concept of generalized contextuality studies the inability to explain measurement statistics using a context-independent probabilistic and ontological model, instead looking at frameworks such as general probabilistic theories (GPTs) to model these statistics. It is found that GPTs satisfying the no-restriction hypothesis are ontologically noncontextual only when they are simplicial, while GPTs violating this hypothesis can be considered as subtheories of GPTs satisfying the hypothesis. Subtheories are ontologically noncontextual if they are subtheories of simplicial GPTs of the same dimensionality.

PRX QUANTUM (2021)

Add to Collection

Article Quantum Science & Technology

Experimentally Bounding Deviations From Quantum Theory in the Landscape of Generalized Probabilistic Theories

Michael D. Mazurek et al.

Summary: Experiments in quantum foundations aim to differentiate between quantum theory and other alternatives, utilizing generalized probabilistic theories (GPTs) to analyze data and determine consistency. By testing various hypotheses for the dimension of GPT vector space, it is found that dimension 4 aligns with experimental data, providing quantitative bounds on deviations from quantum predictions. The study suggests that deviations beyond quantum state and effect spaces may only occur if future experiments require additional dimensions of GPT vector space beyond the four dimensions predicted by quantum theory.

PRX QUANTUM (2021)

Add to Collection

Article Quantum Science & Technology

Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories

David Schmid et al.

Summary: This study explores the notion of classicality in generalized probabilistic theory (GPT) and introduces the concept of simplex embeddability as a geometric condition for classicality in GPT. In essence, simplex embeddability requires the state space of a GPT to be embeddable in a simplex and its effect space in the dual of that simplex, providing a new intuitive and standalone notion of classicality for GPTs.

PRX QUANTUM (2021)

Add to Collection

Article Quantum Science & Technology

Contextual advantage for state-dependent cloning

Matteo Lostaglio et al.

QUANTUM (2020)

Add to Collection

Article Physics, Multidisciplinary

Certifying Quantum Signatures in Thermodynamics and Metrology via Contextuality of Quantum Linear Response

Matteo Lostaglio

PHYSICAL REVIEW LETTERS (2020)

Add to Collection

Article Physics, Multidisciplinary

Impossibility of coin flipping in generalized probabilistic theories via discretizations of semi-infinite programs

Jamie Sikora et al.

PHYSICAL REVIEW RESEARCH (2020)

Add to Collection

Article Quantum Science & Technology

Composites and Categories of Euclidean Jordan Algebras

Howard Barnum et al.

QUANTUM (2020)

Add to Collection

Article Quantum Science & Technology

Analysing causal structures in generalised probabilistic theories

Mirjam Weilenmann et al.

QUANTUM (2020)

Add to Collection

Article Quantum Science & Technology

Parity oblivious d-level random access codes and class of noncontextuality inequalities

Andris Ambainis et al.

QUANTUM INFORMATION PROCESSING (2019)

Add to Collection

Article Multidisciplinary Sciences

The measurement postulates of quantum mechanics are operationally redundant

Lluis Masanes et al.

NATURE COMMUNICATIONS (2019)

Add to Collection

Article Quantum Science & Technology

The computational landscape of general physical theories

Jonathan Barrett et al.

NPJ QUANTUM INFORMATION (2019)

Add to Collection

Article Physics, Multidisciplinary

State independent contextuality advances one-way communication

Debashis Saha et al.

NEW JOURNAL OF PHYSICS (2019)

Add to Collection

Article Quantum Science & Technology

Quantum computation is the unique reversible circuit model for which bits are balls

Marius Krumm et al.

NPJ QUANTUM INFORMATION (2019)

Add to Collection

Article Quantum Science & Technology

No-free-information principle in general probabilistic theories

Teiko Heinosaari et al.

QUANTUM (2019)

Add to Collection

Article Optics

Anomalous weak values and contextuality: Robustness, tightness, and imaginary parts

Ravi Kunjwa et al.

PHYSICAL REVIEW A (2019)

Add to Collection

Article Physics, Mathematical

Ultimate Data Hiding in Quantum Mechanics and Beyond

Ludovico Lami et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2018)

Add to Collection

Article Physics, Multidisciplinary

A Royal Road to Quantum Theory (or Thereabouts)

Alexander Wilce

ENTROPY (2018)

Add to Collection

Article Physics, Multidisciplinary

Interferometric Computation Beyond Quantum Theory

Andrew J. P. Garner

FOUNDATIONS OF PHYSICS (2018)

Add to Collection

Article Physics, Multidisciplinary

Oracles and Query Lower Bounds in Generalised Probabilistic Theories

Howard Barnum et al.

FOUNDATIONS OF PHYSICS (2018)

Add to Collection

Article Multidisciplinary Sciences

A no-go theorem for theories that decohere to quantum mechanics

Ciaran M. Lee et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2018)

Add to Collection

Article Physics, Multidisciplinary

Contextual Advantage for State Discrimination

David Schmid et al.

PHYSICAL REVIEW X (2018)

Add to Collection

Article Optics

All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed set of operational equivalences

David Schmid et al.

PHYSICAL REVIEW A (2018)

Add to Collection

Article Quantum Science & Technology

Any modification of the Born rule leads to a violation of the purification and local tomography principles

Thomas D. Galley et al.

QUANTUM (2018)

Add to Collection

Article Quantum Science & Technology

How to make unforgeable money in generalised probabilistic theories

John H. Selby et al.

QUANTUM (2018)

Add to Collection

Article Optics

Bell measurement ruling out supraquantum correlations

L. Czekaj et al.

PHYSICAL REVIEW A (2018)

Add to Collection

Article Optics

Simple proof of the impossibility of bit commitment in generalized probabilistic theories using cone programming

Jamie Sikora et al.

PHYSICAL REVIEW A (2018)

Add to Collection

Article Physics, Multidisciplinary

Higher-Order Interference in Extensions of Quantum Theory

Ciaran M. Lee et al.

FOUNDATIONS OF PHYSICS (2017)

Add to Collection

Article Physics, Multidisciplinary

Ruling out Higher-Order Interference from Purity Principles

Howard Barnum et al.

ENTROPY (2017)

Add to Collection

Article Physics, Multidisciplinary

Leaks: Quantum, Classical, Intermediate and More

John Selby et al.

ENTROPY (2017)

Add to Collection

Article Physics, Multidisciplinary

Microcanonical thermodynamics in general physical theories

Giulio Chiribella et al.

NEW JOURNAL OF PHYSICS (2017)

Add to Collection

Article Physics, Multidisciplinary

Entanglement is Necessary for Emergent Classicality in All Physical Theories

Jonathan G. Richens et al.

PHYSICAL REVIEW LETTERS (2017)

Add to Collection

Article Quantum Science & Technology

Classification of all alternatives to the Born rule in terms of informational properties

Thomas D. Galley et al.

QUANTUM (2017)

Add to Collection

Article Optics

Conditions on the existence of maximally incompatible two-outcome measurements in general probabilistic theory

Anna Jencova et al.

PHYSICAL REVIEW A (2017)

Add to Collection

Article Physics, Multidisciplinary

Structure of Optimal State Discrimination in Generalized Probabilistic Theories

Joonwoo Bae et al.

ENTROPY (2016)

Add to Collection

Review Physics, Multidisciplinary

An invitation to quantum incompatibility

Teiko Heinosaari et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2016)

Add to Collection

Article Physics, Multidisciplinary

Optimal bounds for parity-oblivious random access codes

Andre Chailloux et al.

NEW JOURNAL OF PHYSICS (2016)

Add to Collection

Article Physics, Multidisciplinary

Generalised phase kick-back: the structure of computational algorithms from physical principles

Ciaran M. Lee et al.

NEW JOURNAL OF PHYSICS (2016)

Add to Collection

Article Physics, Multidisciplinary

Deriving Grover's lower bound from simple physical principles

Ciaran M. Lee et al.

NEW JOURNAL OF PHYSICS (2016)

Add to Collection

Article Multidisciplinary Sciences

An experimental test of noncontextuality without unphysical idealizations

Michael D. Mazurek et al.

NATURE COMMUNICATIONS (2016)

Add to Collection

Article Physics, Multidisciplinary

Computation in generalised probabilisitic theories

Ciaran M. Lee et al.

NEW JOURNAL OF PHYSICS (2015)

Add to Collection

Article Physics, Multidisciplinary

Entanglement and thermodynamics in general probabilistic theories

Giulio Chiribella et al.

NEW JOURNAL OF PHYSICS (2015)

Add to Collection

Article Physics, Multidisciplinary

From the Kochen-Specker Theorem to Noncontextuality Inequalities without Assuming Determinism

Ravi Kunjwal et al.

PHYSICAL REVIEW LETTERS (2015)

Add to Collection

Article Computer Science, Theory & Methods

Entropy, majorization and thermodynamics in general probabilistic theories

Howard Barnum et al.

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE (2015)

Add to Collection

Article Physics, Multidisciplinary

Local Tomography and the Jordan Structure of Quantum Theory

Howard Barnum et al.

FOUNDATIONS OF PHYSICS (2014)

Add to Collection

Article Physics, Multidisciplinary

Higher-order interference and single-system postulates characterizing quantum theory

Howard Barnum et al.

NEW JOURNAL OF PHYSICS (2014)

Add to Collection

Article Physics, Multidisciplinary

Density cubes and higher-order interference theories

B. Dakic et al.

NEW JOURNAL OF PHYSICS (2014)

Add to Collection

Article Physics, Multidisciplinary

Theory-independent limits on correlations from generalized Bayesian networks

Joe Henson et al.

NEW JOURNAL OF PHYSICS (2014)

Add to Collection

Article Physics, Multidisciplinary

Determinism without causality

G. M. D'Ariano et al.

PHYSICA SCRIPTA (2014)

Add to Collection

Article Physics, Multidisciplinary

Anomalous Weak Values Are Proofs of Contextuality

Matthew F. Pusey

PHYSICAL REVIEW LETTERS (2014)

Add to Collection

Article Physics, Multidisciplinary

Bell nonlocality

Nicolas Brunner et al.

REVIEWS OF MODERN PHYSICS (2014)

Add to Collection

Article Computer Science, Theory & Methods

Dilation of states and processes in operational-probabilistic theories

Giulio Chiribella

ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE (2014)

Add to Collection

Article Physics, Multidisciplinary

Ensemble Steering, Weak Self-Duality, and the Structure of Probabilistic Theories

Howard Barnum et al.

FOUNDATIONS OF PHYSICS (2013)

Add to Collection

Article Physics, Multidisciplinary

Three-dimensionality of space and the quantum bit: an information-theoretic approach

Markus P. Mueller et al.

NEW JOURNAL OF PHYSICS (2013)

Add to Collection

Article Multidisciplinary Sciences

Existence of an information unit as a postulate of quantum theory

Lluis Masanes et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2013)

Add to Collection

Article Logic

Symmetry, Compact Closure and Dagger Compactness for Categories of Convex Operational Models

Howard Barnum et al.

JOURNAL OF PHILOSOPHICAL LOGIC (2013)

Add to Collection

Article Physics, Multidisciplinary

Limited Holism and Real-Vector-Space Quantum Theory

Lucien Hardy et al.

FOUNDATIONS OF PHYSICS (2012)

Add to Collection

Article Physics, Multidisciplinary

Structure of Reversible Computation Determines the Self-Duality of Quantum Theory

Markus P. Mueller et al.

PHYSICAL REVIEW LETTERS (2012)

Add to Collection

Article Physics, Multidisciplinary

A derivation of quantum theory from physical requirements

Lluis Masanes et al.

NEW JOURNAL OF PHYSICS (2011)

Add to Collection

Article Optics

Informational derivation of quantum theory

Giulio Chiribella et al.

PHYSICAL REVIEW A (2011)

Add to Collection

Article Computer Science, Theory & Methods

Symmetry and Composition in Probabilistic Theories

Alexander Wilce

ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE (2011)

Add to Collection

Article Computer Science, Theory & Methods

Information Processing in Convex Operational Theories

Howard Barnum et al.

ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE (2011)

Add to Collection

Article Physics, Multidisciplinary

Entropy and information causality in general probabilistic theories

Howard Barnum et al.

NEW JOURNAL OF PHYSICS (2010)

Add to Collection

Article Optics

Probabilistic theories with purification

Giulio Chiribella et al.

PHYSICAL REVIEW A (2010)

Add to Collection

Article Physics, Multidisciplinary

Local Quantum Measurement and No-Signaling Imply Quantum Correlations

H. Barnum et al.

PHYSICAL REVIEW LETTERS (2010)

Add to Collection

Article Physics, Multidisciplinary

Preparation Contextuality Powers Parity-Oblivious Multiplexing

Robert W. Spekkens et al.

PHYSICAL REVIEW LETTERS (2009)

Add to Collection

Article Physics, Multidisciplinary

Negativity and contextuality are equivalent notions of nonclassicality

Robert W. Spekkens

PHYSICAL REVIEW LETTERS (2008)

Add to Collection

Article Physics, Multidisciplinary

Generalized no-broadcasting theorem

Howard Barnum et al.

PHYSICAL REVIEW LETTERS (2007)

Add to Collection

Article Optics

Information processing in generalized probabilistic theories

Jonathan Barrett

PHYSICAL REVIEW A (2007)

Add to Collection

Article Optics

Evidence for the epistemic view of quantum states: A toy theory

Robert W. Spekkens

PHYSICAL REVIEW A (2007)

Add to Collection

Article Optics

Contextuality for preparations, transformations, and unsharp measurements

RW Spekkens

PHYSICAL REVIEW A (2005)

Add to Collection

© Peeref 2019-2024. All rights reserved.