Bell scenarios with communication
arXiv:1607.08182 · doi:10.1088/1751-8121/aa5840
Abstract
Classical and quantum physics provide fundamentally different predictions about experiments with separate observers that do not communicate, a phenomenon known as quantum nonlocality. This insight is a key element of our present understanding of quantum physics, and also enables a number of information processing protocols with security beyond what is classically attainable. Relaxing the pivotal assumption of no communication leads to new insights into the nature quantum correlations, and may enable new applications where security can be established under less strict assumptions. Here, we study such relaxations where different forms of communication are allowed. We consider communication of inputs, outputs, and of a message between the parties. Using several measures, we study how much communication is required for classical models to reproduce quantum or general no-signalling correlations, as well as how quantum models can be augmented with classical communication to reproduce no-signalling correlations.
12 pages, 3 figures. Includes a more detailed explanation of results appearing in the appendix of arXiv:1411.4648 [quant-ph]
References in corpus (37)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Significant-loophole-free test of Bell's theorem with entangled photons
- Random Numbers Certified by Bell's Theorem
- A strong loophole-free test of local realism
- Information Causality as a Physical Principle
- From Bell's Theorem to Secure Quantum Key Distribution
- Non-locality and Communication Complexity
- Non-local correlations as an information theoretic resource
- Bounding the set of quantum correlations
- Free randomness can be amplified
- The Communication Cost of Simulating Bell Correlations
- A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- Maximally Non-Local and Monogamous Quantum Correlations
- A glance beyond the quantum model
- Local orthogonality as a multipartite principle for quantum correlations
- Almost quantum correlations
- Symmetries of the Bell correlation inequalities
- Relaxed Bell inequalities and Kochen-Specker theorems
- How much measurement independence is needed in order to demonstrate nonlocality?
- Information-Theoretic Implications of Quantum Causal Structures
- A unifying framework for relaxations of the causal assumptions in Bell's theorem
- The effects of reduced "free will" on Bell-based randomness expansion
- Violations of Bell inequalities as lower bounds on the communication cost of non-local correlations
- Bell Inequalities with Auxiliary Communication
- Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
- Device-Independent Tests of Entropy
- Exploring the Local Orthogonality Principle
- Complementary contributions of indeterminism and signalling to quantum correlations
- Entropic nonsignaling correlations
- Nonlocal setting and outcome information for violation of Bell's inequality
- The GHZ state in secret sharing and entanglement simulation
- Bell Inequalities with Communication Assistance
- Lower bound on the communication cost of simulating bipartite quantum correlations
- Lack of measurement independence can simulate quantum correlation even when signaling cannot
- Simulating GHZ Correlations Relaxing Physical Constraints
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- Towards device-independent information processing on general quantum networks
- Quantifying Bell non-locality with the trace distance
- Correlations in entanglement-assisted prepare-and-measure scenarios
- Concentration phenomena in the geometry of Bell correlations
- Quantum violations in the Instrumental scenario and their relations to the Bell scenario
- Quantum communication complexity beyond Bell nonlocality
- Probing the Non-Classicality of Temporal Correlations
- Bell inequalities with one bit of communication
- Quantum steering beyond instrumental causal networks
- Practical randomness amplification and privatisation with implementations on quantum computers
- Robust Bell inequalities from communication complexity
- Witnessing Non-Classicality in a Simple Causal Structure with Three Observable Variables
- Test of the physical significance of Bell nonlocality
- Device-independent certification of non-classical joint measurements via causal models
- Modelling contextuality by probabilistic programs with hypergraph semantics
- Multistage games and Bell scenarios with communication
- Parameter Dependence and Bell nonlocality
- Causal Networks and Freedom of Choice in Bell's Theorem
- A minimal example of quantum non-classicality without freedom of choice
- Quantum correlation generation capability of experimental processes
- Beating one bit of communication with and without quantum pseudo-telepathy
- Events in quantum mechanics are maximally non-absolute