Quantum information with quantum-like bits

• URL: http://arxiv.org/abs/2408.06485v4
• Date: Mon, 11 Nov 2024 20:02:57 GMT
• Title: Quantum information with quantum-like bits
• Authors: Graziano Amati, Gregory D. Scholes,
• Abstract summary: In previous work we have proposed a construction of quantum-like bits that could endow a large, complex classical system. This paper aims to explore the mathematical structure of quantum-like resources, and shows how arbitrary gates can be implemented by manipulating emergent states.
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• Abstract: In previous work we have proposed a construction of quantum-like bits that could endow a large, complex classical system, for example of oscillators, with quantum-like function that is not compromised by decoherence. In the present paper we investigate further this platform of quantum-like states. Firstly, we discuss a general protocol on how to construct synchronizing networks that allow for emergent states. We then study how gates can be implemented on those states. This suggests the possibility of quantum-like computing on specially-constructed classical networks. Finally, we define a notion of measurement that allows for non-Kolmogorov interference, a feature that separates our model from a classical probabilistic system. This paper aims to explore the mathematical structure of quantum-like resources, and shows how arbitrary gates can be implemented by manipulating emergent states in those systems.

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