Timelike correlations and quantum tensor product structure

Abstract

The state space structure for a composite quantum system is postulated among several mathematically consistent possibilities that are compatible with local quantum description. For instance, unentangled Gleason's theorem allows a state space that includes density operators as a proper subset among all possible composite states. However, bipartite correlations obtained in Bell type experiments from this broader state space are in-fact quantum simulable, and hence such spacelike correlations are no good to make distinction among different compositions. In this work we analyze communication utilities of these different composite models and show that they can lead to distinct utilities in a simple communication game involving two players. Our analysis, thus, establishes that beyond quantum composite structure can lead to beyond quantum correlations in timelike scenario and hence welcomes new principles to isolate the quantum correlations from the beyond quantum ones. We also prove a no-go that the classical information carrying capacity of different such compositions cannot be more than the corresponding quantum composite systems.

arXiv comment8 pages, two columns, comments are welcome

References in corpus (19)

• Informational derivation of Quantum Theory
• Quantum Darwinism
• Probabilistic theories with purification
• A derivation of quantum theory from physical requirements
• All Entangled Quantum States Are Nonlocal
• Local Quantum Measurement and No-Signaling Imply Quantum Correlations
• The structure of reversible computation determines the self-duality of quantum theory
• Unified Framework for Correlations in Terms of Local Quantum Observables
• No-hypersignaling principle
• Thermodynamics and the structure of quantum theory
• Measurement incompatibility and Schrödinger-EPR steering in a class of probabilistic theories
• Entangleability of cones
• Dimension of physical systems, information processing, and thermodynamics
• Nonlocality Without Entanglement: Quantum Theory and Beyond
• Unifying typical entanglement and coin tossing: on randomization in probabilistic theories
• The four postulates of quantum mechanics are three
• Perfect Discrimination of Non-Orthogonal Separable Pure States on Bipartite System in General Probabilistic Theory
• The principle of information symmetry constrains the state-space in any physical theory
• Advantage of Quantum Theory Over Non-classical Models of Communication

Cited by in corpus (3)

• Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
• Decomposition of a system in pseudo-Hermitian quantum mechanics
• Bipartite polygon models: entanglement classes and their nonlocal behaviour