Unlimited non-causal correlations and their relation to non-locality

Abstract

Non-causal correlations certify the lack of a definite causal order among localized space-time regions. In stark contrast to scenarios where a single region influences its own causal past, some processes that distribute non-causal correlations satisfy a series of natural desiderata: logical consistency, linear and reversible dynamics, and computational tameness. Here, we present such processes among arbitrary many regions where each region influences every other but itself, and show that the above desiderata are altogether insufficient to limit the amount of "acausality" of non-causal correlations. This leaves open the identification of a principle that forbids non-causal correlations. Our results exhibit qualitative and quantitative parallels with the non-local correlations due to Ardehali and Svetlichny.

arXiv comment14 + 4 pages appendix, 6 figures, 1 table, final version

References in corpus (43)

• Quantum correlations with no causal order
• Quantum computations without definite causal structure
• Bell-type inequalities to detect true n-body non-separability
• The definition of multipartite nonlocality
• Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
• An operational framework for nonlocality
• Guess your neighbour's input: a multipartite non-local game with no quantum advantage
• Witnessing causal nonseparability
• Quantum Pseudo-Telepathy
• Local Quantum Measurement and No-Signaling Imply Quantum Correlations
• Causal and causally separable processes
• Bell's Theorem for Temporal Order
• The quantum mechanics of time travel through post-selected teleportation
• The simplest causal inequalities and their violation
• Quantum computation with programmable connections between gates
• Unified Framework for Correlations in Terms of Local Quantum Observables
• Time-delocalized quantum subsystems and operations: on the existence of processes with indefinite causal structure in quantum mechanics
• Maximal incompatibility of locally classical behavior and global causal order in multi-party scenarios
• Unitarity and Causality in Generalized Quantum Mechanics for Non-Chronal Spacetimes
• A purification postulate for quantum mechanics with indefinite causal order
• Quantum circuits with classical versus quantum control of causal order
• Multipartite Causal Correlations: Polytopes and Inequalities
• The space of logically consistent classical processes without causal order
• Cyclic Quantum Causal Models
• Quantum computation with indefinite causal structures
• Converting contextuality into nonlocality
• Effective Quantum Time Travel
• Quantum state cloning using Deutschian closed timelike curves
• Quantum state cloning in the presence of a closed timelike curve
• Perfect signaling among three parties violating predefined causal order
• Indefinite causal structures for continuous-variable systems
• Treating Time Travel Quantum Mechanically
• Device-independent test of causal order and relations to fixed-points
• Reversible time travel with freedom of choice
• Reversible dynamics with closed time-like curves and freedom of choice
• Computational tameness of classical non-causal models
• Genuinely Multipartite Noncausality
• Reassessing the computational advantage of quantum-controlled ordering of gates
• Existence of processes violating causal inequalities on time-delocalised subsystems
• Closed Timelike Curves Make Quantum and Classical Computing Equivalent
• Nonlinear Quantum Mechanics at the Planck Scale
• Equivalence of Grandfather and Information Antinomy Under Intervention
• Computability Theory of Closed Timelike Curves

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