A glance beyond the quantum model
arXiv:0907.0372 · doi:10.1098/rspa.2009.0453
Abstract
One of the most important problems in Physics is how to reconcile Quantum Mechanics with General Relativity. Some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favor of a more general theory. However, as the experiments we can perform nowadays are far away from the range of energies where we may expect to observe non-quantum effects, it is difficult to theorize at this respect. Here we propose a fundamental axiom that we believe any reasonable post-quantum theory should satisfy, namely, that such a theory should recover classical physics in the macroscopic limit. We use this principle, together with the impossibility of instantaneous communication, to characterize the set of correlations that can arise between two distant observers. Although several quantum limits are recovered, our results suggest that quantum mechanics could be falsified by a Bell-type experiment if both observers have a sufficient number of detectors.
References in corpus (8)
- Information Causality as a Physical Principle
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Bounding the set of quantum correlations
- A generalized no-broadcasting theorem
- Non-locality distillation and post-quantum theories with trivial communication complexity
- Recovering part of the quantum boundary from information causality
- Necessary and sufficient condition for quantum-generated correlations
- Testing a Bell inequality in multi-pair scenarios
Cited by in corpus (171)
- Bell nonlocality
- Quantum correlations with no causal order
- Graph-Theoretic Approach to Quantum Correlations
- A derivation of quantum theory from physical requirements
- Specker's Parable of the Over-protective Seer: A Road to Contextuality, Nonlocality and Complementarity (PLUS AN ERRATUM)
- Local orthogonality as a multipartite principle for quantum correlations
- Almost quantum correlations
- Kochen-Specker Contextuality
- Guess your neighbour's input: a multipartite non-local game with no quantum advantage
- Simple explanation of the quantum violation of a fundamental inequality
- Information-Theoretic Implications of Quantum Causal Structures
- Geometry of the set of quantum correlations
- Generalized Probability Theories: What determines the structure of quantum theory?
- Limits on non-local correlations from the structure of the local state space
- Bell inequalities tailored to maximally entangled states
- Entanglement: Quantum or Classical?
- Unified Framework for Correlations in Terms of Local Quantum Observables
- A purification postulate for quantum mechanics with indefinite causal order
- Quantum Correlations are Tightly Bound by the Exclusivity Principle
- Macroscopically local correlations can violate information causality
- Machine Learning meets Quantum Foundations: A Brief Survey
- Approaching Tsirelson's bound in a photon pair experiment
- Semidefinite programming relaxations for quantum correlations
- The exclusivity principle forbids sets of correlations larger than the quantum set
- A violation of the uncertainty principle implies a violation of the second law of thermodynamics
- Basic exclusivity graphs in quantum correlations
- Law without law: from observer states to physics via algorithmic information theory
- Bound non-locality and activation
- Non-adaptive Measurement-based Quantum Computation and Multi-party Bell Inequalities
- Exploring the Local Orthogonality Principle
- Exploring the limits of quantum nonlocality with entangled photons
- High-dimensional quantum communication complexity beyond strategies based on Bell's theorem
- Maximum nonlocality in the (3,2,2) scenario
- Concentration phenomena in the geometry of Bell correlations
- A channel-based framework for steering, non-locality and beyond
- Information Causality and Extremal Tripartite Correlations
- Thermodynamics and the structure of quantum theory
- Classical Physics and the Bounds of Quantum Correlations
- Bounding quantum correlations with indefinite causal order
- Dimension of physical systems, information processing, and thermodynamics
- Closed sets of correlations: answers from the zoo
- Monotone Measures for Non-Local Correlations
- Bridging the gap between general probabilistic theories and the device-independent framework for nonlocality and contextuality
- Entropic nonsignaling correlations
- Nonlocality Without Entanglement: Quantum Theory and Beyond
- When Are Popescu-Rohrlich Boxes and Random Access Codes Equivalent?
- Quantum correlations from simple assumptions
- Limited preparation contextuality in quantum theory and its relation to the Cirel'son bound
- Bounding quantum contextuality with lack of third-order intereference
- Almost quantum correlations violate the no-restriction hypothesis
- Bell scenarios with communication
- Self-testing of physical theories, or, is quantum theory optimal with respect to some information-processing task?
- Multigraph approach to quantum non-locality
- Exclusivity principle and the quantum bound of the Bell inequality
- Three-slit experiments and quantum nonlocality
- Generalized Bell Inequality Experiments and Computation
- Semi-definite programming and quantum information
- Quantum theory allows for absolute maximal contextuality
- A histories perspective on characterising quantum non-locality
- On the Significance of the Quantum Mechanical Covariance Matrix
- Postquantum common-cause channels: the resource theory of local operations and shared entanglement
- Geometry of the quantum set on no-signaling faces
- Information-theoretic postulates for quantum theory
- Information-theoretic constraints on correlations with indefinite causal order
- New Quantum Bounds for Inequalities involving Marginal Expectations
- No quantum realization of extremal no-signaling boxes
- A formalism for steering with local quantum measurements
- General Bayesian theories and the emergence of the exclusivity principle
- Designing Bell inequalities from a Tsirelson bound
- Quantum Bell Inequalities from Macroscopic Locality
- Macroscopic non-contextuality as a principle for Almost Quantum Correlations
- Stronger Quantum Correlations with Loophole-free Post-selection
- Post-quantum steering is a stronger-than-quantum resource for information processing
- The Magical Number Seven: An Unexpected Dimensional Threshold in Quantum Communication Complexity
- Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing
- Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
- Distilling Nonlocality in Quantum Correlations
- Quantum correlations on the no-signaling boundary: self-testing and more
- Bell monogamy relations in arbitrary qubit networks
- Macroscopically nonlocal quantum correlations
- Information Causality without concatenation
- Operational foundations of complementarity and uncertainty relations
- Simple conditions constraining the set of quantum correlations
- Information Content of Systems as a Physical Principle
- Almost quantum correlations and their refinements in a tripartite Bell scenario
- Divisible quantum dynamics satisfies temporal Tsirelson's bound
- Characterising the Performance of XOR Games and the Shannon Capacity of Graphs
- Typical local measurements in generalised probabilistic theories: emergence of quantum bipartite correlations
- Non-local games and optimal steering at the boundary of the quantum set
- Correlation Measure Equivalence in Dynamic Causal Structures of Quantum Gravity
- On monogamy of non-locality and macroscopic averages: examples and preliminary results
- Advantage of Quantum Theory Over Non-classical Models of Communication
- The principle of information symmetry constrains the state-space in any physical theory
- The resource theory of nonclassicality of channel assemblages
- Approaching the Tsirelson bound with a Sagnac source of polarization-entangled photons
- Multiplicative Bell Inequalities
- Popescu-Rohrlich correlations imply efficient instantaneous nonlocal quantum computation
- Nonlocality Distillation and Quantum Voids
- Certificates of quantum many-body properties assisted by machine learning
- Towards correlation self-testing of quantum theory in the adaptive Clauser-Horne-Shimony-Holt game
- Naturally restricted subsets of nonsignaling correlations: typicality and convergence
- Probabilistic models on contextuality scenarios
- Theory of Quantum Gravity Information Processing
- Information Causality in the Quantum and Post-Quantum Regime
- Probabilistic Theories and Reconstructions of Quantum Theory (Les Houches 2019 lecture notes)
- Experimental Test of Nonlocality Limits from Relativistic Independence
- Monogamy of Information Causality
- Local Orthogonality provides better upper bound for Hardy's nonlocality
- Many-box locality
- Correlations constrained by composite measurements
- Entangled Rendezvous: A Possible Application of Bell Non-Locality For Mobile Agents on Networks
- All tight correlation Bell inequalities have quantum violations
- Continuous-variable supraquantum nonlocality
- Dark energy effects in the Schrödinger-Newton approach
- No nonlocal advantage of quantum coherence beyond quantum instrumentality
- Nonlinear Bell inequality for macroscopic measurements
- Information causality as a tool for bounding the set of quantum correlations
- No-signaling bounds for quantum cloning and metrology
- Multi-User Non-Locality Amplification
- Quantum measurement of spins and magnets, and the classical limit of PR-boxes
- Experimental many-pairs nonlocality
- On characterising assemblages in Einstein-Podolsky-Rosen scenarios
- Information causality in multipartite scenarios
- Tsirelson's Bound Prohibits Communication Through a Disconnected Channel
- Quantum fluctuations from a local-causal information dynamics
- Several foundational and information theoretic implications of Bell's theorem
- Quantum Nonlocal Boxes Exhibit Stronger Distillability
- Quantum dynamics and kinematics from a statistical model selected by the principle of Locality
- The problem of quantum correlations and the totalitarian principle
- Multi-system measurements in generalized probabilistic theories and their role in information processing
- Testing microscopic discretization
- Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound
- Postquantum steering
- Paradoxical consequences of multipath coherence: perfect interaction-free measurements
- Generalized Probabilistic Description of Noninteracting Identical Particles
- Macroscopic limit of nonclassical correlations
- Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality
- Theory-independent randomness generation from spatial symmetries
- Extremal Tsirelson inequalities
- Composing decoherence functionals
- Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles
- Study of nonlocal correlations in macroscopic measurement scenario
- The quantum maxima for the basic graphs of exclusivity are not reachable in Bell scenarios
- Joint system quantum descriptions arising from local quantumness
- Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
- Quantum bounds for compiled XOR games and -outcome CHSH games
- The Hilbertian Tensor Norm and Entangled Two-Prover Games
- Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario
- Trading Permutation Invariance for Communication in Multi-Party Non-Locality Distillation
- Bell nonlocality with intensity information only
- Quantum correlations cannot be reproduced with a finite number of measurements in any no-signaling theory
- Exclusivity principle and unphysicality of Garg-Mermin correlation
- (Almost-)Quantum Bell Inequalities and Device-Independent Applications
- A stochastic model for quantum measurement
- Entanglement-swapping in generalised probabilistic theories, and iterated CHSH games
- Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations
- The membership problem for constant-sized quantum correlations is undecidable
- Remarks on the tensor product structure of no-signaling theories
- GHZ states and PR boxes in the classical limit
- The Hardy's nonlocality argument
- Activation of post-quantum steering
- Characterization of non-signaling correlations from mutual information
- Quantum theory at the macroscopic scale
- Quantum Computation and Arrows of Time
- Limitations imposed by complementarity
- Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
- Classical-to-quantum non-signalling boxes
- No-local-broadcasting theorem for non-signalling behaviours and assemblages
- Communication strength of correlations violating monogamy relations
- Ruling out the class of statistical processes involving two noninteracting identical particles in two modes
- Information causality beyond the random access code model