论文标题

量子古典杂种是否与本体论细胞自动机兼容?

Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?

论文作者

Elze, Hans-Thomas

论文摘要

基于本体论状态的概念及其通过排列的动力学演变,如量子力学的细胞自动机解释(CAI)所假定,我们解决了一个问题,是否可以在此框架中始终如一地描述量子 - 古典杂种。我们将“经典”两态iSing旋转的链条及其离散的确定性动力学视为一个本体论模型,该模型具有由配对交换相互作用产生的单一进化操作员。确定了一个简单的错误机制,将它们变成量子机械对象,即Qubit的链。因此,可以引入量子机械链与“经典”链之间的相互作用,并研究其对这种量子古典杂种的后果。我们发现,这种复合材料的这种混合特征通常不会在相互作用下持续存在,因此不能像在CAI内那样坚持像Kopenhagen解释一样,或者是基本概念。

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 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 be studied. We find that such hybrid character of composites, generally, does not persist under interactions and, therefore, cannot be upheld consistently, or even as a fundamental notion as in Kopenhagen interpretation, within CAI.

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