Computational Perspectives on Bell Inequalities and Many-body Quantum Correlations
arXiv:1204.5913
Abstract
The predictions of quantum mechanics cannot be resolved with a completely classical view of the world. In particular, the statistics of space-like separated measurements on entangled quantum systems violate a Bell inequality. We put forward a computational perspective on a broad class of Bell tests that study correlators, or the statistics of joint measurement outcomes. We associate particular maps, or functions to particular theories. The violation of a Bell inequality then implies the ability to perform some functions, or computations that classical, or more generally, local hidden variable (LHV) theories cannot.
arXiv commentPhD thesis: 169 pages, 3 figures, and hopefully is of use to someone
References in corpus (41)
- Quantum entanglement
- Efficient classical simulation of slightly entangled quantum computations
- Device-independent security of quantum cryptography against collective attacks
- Violation of Bell's inequality under strict Einstein locality conditions
- Improved Simulation of Stabilizer Circuits
- Measurement-based quantum computation
- Hidden Variables and the Two Theorems of John Bell
- Information Causality as a Physical Principle
- Informational derivation of Quantum Theory
- Non-locality and Communication Complexity
- Non-local correlations as an information theoretic resource
- Device-independent quantum key distribution secure against collective attacks
- Bounding the set of quantum correlations
- Violations of local realism by two entangled quNits are stronger than for two qubits
- Correcting Quantum Errors with Entanglement
- Quantum probabilities as Bayesian probabilities
- Quantum Theory From Five Reasonable Axioms
- A limit on nonlocality in any world in which communication complexity is not trivial
- Bell inequality violation with two remote atomic qubits
- Entanglement and the Power of One Qubit
- The uncertainty principle determines the non-locality of quantum mechanics
- Quantum non-locality in two three-level systems
- Bell inequality, Bell states and maximally entangled states for n qubits
- Violation of Bell's inequality: criterion for quantum communication complexity advantage
- The definition of multipartite nonlocality
- Guess your neighbour's input: a multipartite non-local game with no quantum advantage
- Popescu-Rohrlich correlations as a unit of nonlocality
- Relaxed Bell inequalities and Kochen-Specker theorems
- How much measurement independence is needed in order to demonstrate nonlocality?
- Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
- Quantum nonlocality, Bell inequalities and the memory loophole
- An introduction to measurement based quantum computation
- Quantum And Relativistic Protocols For Secure Multi-Party Computation
- The quantum mechanics of time travel through post-selected teleportation
- Generic Bell inequalities for multipartite arbitrary dimensional systems
- Reformulating and Reconstructing Quantum Theory
- Quantifying multipartite nonlocality
- Two-qubit Projective Measurements are Universal for Quantum Computation
- Generalized Bell Inequality Experiments and Computation
- Stronger Quantum Correlations with Loophole-free Post-selection
- A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems