Are Quantum-Classical Hybrids Compatible with Ontological Cellular Automata?

Universe

Hans-Thomas Elze¹ 

[1] Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy;

关键词: quantum-classical hybrid system;    cellular automaton;    ising spin;    qubit;    ontological state;    Baker–Campbell–Hausdorff formula;   

DOI  :  10.3390/universe8040207

来源: DOAJ

【 摘 要 】

Based on the concept of ontological states and their dynamical evolution by permutations, as assumed in the Cellular Automaton Interpretation (CAI) of quantum mechanics, we address the issue of whether quantum-classical hybrids can be described consistently in this framework. We consider chains of ‘classical’ two-state Ising spins and their discrete deterministic dynamics as an ontological model with an unitary evolution operator generated by pair-exchange interactions. A simple error mechanism is identified, which turns them into quantum mechanical objects: chains of qubits. Consequently, an interaction between a quantum mechanical and a ‘classical’ chain can be introduced and its consequences for this quantum-classical hybrid can be studied. We found that such hybrid character of composites, generally, does not persist under interactions and, therefore, cannot be upheld consistently, or even as a fundamental notion à la Kopenhagen interpretation, within CAI.

【 授权许可】

Unknown