Quantum-like states from classical systems

• URL: http://arxiv.org/abs/2507.00967v1
• Date: Tue, 01 Jul 2025 17:17:53 GMT
• Title: Quantum-like states from classical systems
• Authors: Gregory D. Scholes,
• Abstract summary: This work studies how a suitably-designed classical system generates with a quantum-like (QL) state space mediated by a graph.<n>The question of whether and, if so, how, entanglement can be exhibited by these QL systems is discussed critically and contrasted to the concept of classical entanglement' in optics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This work studies how a suitably-designed classical system generates with a quantum-like (QL) state space mediated by a graph. The graph plays a special dual role by directing the topology of the classical network and defining a state space that comprises superpositions of states in a tensor product basis. The basis for constructing QL graphs and their properties is reviewed and extended. An optimization of the graph product is developed to produce a more compact graph with the essential properties required to produce states that mimic many of the properties of quantum states. This provides a concrete visualization of the correlation structure in a quantum state space. The question of whether and, if so, how, entanglement can be exhibited by these QL systems is discussed critically and contrasted to the concept of `classical entanglement' in optics.

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