Principle of information causality rationalizes quantum composition

• URL: http://arxiv.org/abs/2208.13996v1
• Date: Tue, 30 Aug 2022 05:41:42 GMT
• Title: Principle of information causality rationalizes quantum composition
• Authors: Ram Krishna Patra, Sahil Gopalkrishna Naik, Edwin Peter Lobo, Samrat Sen, Govind Lal Sidhardh, Mir Alimuddin, and Manik Banik
• Abstract summary: We show that the principle of information causality, a generalization of no signaling principle, plays significant role to this aim. In accordance with no-signaling condition, state and effect spaces of a composite system can allow different possible mathematical descriptions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Anchoring the abstract mathematical formulation of Hilbert space quantum mechanics on physical ground is one of the long standing pursuits of quantum foundational research. Here we show that the principle of information causality, a generalization of no signaling principle, plays significant role to this aim. In accordance with no-signaling condition, state and effect spaces of a composite system can allow different possible mathematical descriptions even when the individual systems are assumed to be quantum. While in one extreme the state space becomes quite exotic and permits composite states that are not allowed in quantum theory, in the other extreme it contains only separable states and the resulting theory becomes local. As we show, none of these compositions does commensurate with information causality, and hence get invalidated to be the bona-fide description of nature. Information causality, therefore, promises physical ground towards self-duality of state and effect cones for composite quantum systems.

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