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Principle of Information Causality Rationalizes Quantum Composition
Ram Krishna Patra1, Sahil Gopalkrishna Naik1, Edwin Peter Lobo2
1Department of Physics of Complex Systems, S.N. Bose National Center for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700106, India.
Physical Review Letters
|March 31, 2023
Summary
Information causality, a generalization of the no signaling principle, helps derive multipartite quantum systems. It rules out exotic states and Bell local correlations, showing neither extreme composition is nature's bona fide description.
Area of Science:
- Quantum Information Theory
- Foundations of Quantum Mechanics
- Multipartite Quantum Systems
Background:
- The no signaling principle is a fundamental constraint in quantum mechanics, ensuring that information cannot be transmitted instantaneously between separated systems.
- Information causality, a stronger principle, generalizes no signaling and has been used to exclude unphysical correlations beyond quantum mechanics.
- The structure of composite quantum systems, particularly their state and effect spaces, is crucial for understanding quantum correlations.
Purpose of the Study:
- To demonstrate how information causality can provide a physical rationale for the structural derivation of multipartite quantum systems.
- To analyze different mathematical descriptions of composite systems under the no signaling condition and their compatibility with information causality.
- To explore the implications of information causality for the self-duality of state and effect cones in composite quantum systems.
Main Methods:
- Investigated the implications of the no signaling condition on the state and effect spaces of composite quantum systems.
- Analyzed two extreme compositions: maximal tensor product (exotic states) and minimal tensor product (Bell local correlations).
- Assessed the compatibility of these compositions with the principle of information causality.
Main Results:
- Neither the maximal nor the minimal tensor product composition of quantum systems is compatible with information causality.
- The maximal tensor product allows for states not permitted by quantum theory, while the minimal tensor product restricts correlations to be Bell local.
- These findings indicate that neither extreme composition represents a bona fide description of nature according to information causality.
Conclusions:
- Information causality serves as a powerful tool for deriving the structure of multipartite quantum systems.
- The principle excludes unphysical descriptions of composite systems that arise from extreme tensor product compositions.
- Information causality offers a pathway towards an information-theoretical derivation of the self-duality of state and effect cones for composite quantum systems.
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