论文标题
部分可观测时空混沌系统的无模型预测
Equivalence between finite state stochastic machine, non-dissipative and dissipative tight-binding and Schroedinger model
论文作者
论文摘要
得出了有限状态随机机与非疾病和耗散量子紧密结合与Schroedinger模型之间的数学等效性。随机有限状态机也通过经典的流行病模型表达，并且在von-Neumann熵的静电耦合Qubits的情况下，可以重现出在非疾病和耗散病例的静电耦合量子的情况下出现的。获得的结果表明，量子机械现象可以通过有限状态随机机表示的经典统计模型模拟。它包括诸如纠缠和国家叠加之类的量子。因此，经典系统以经典物理的形式表达的耦合流行模型可以成为量子技术的可能结合，尤其是量子等量子等量子和量子（如通信）。经典密度矩阵是由运动方程来得出和描述的。像振荡一样的狂犬病的存在在经典的流行模型中指出。此外，量子系统中Aharonov-bohm效应的存在也可以通过经典的流行病模型或更广泛的意义上的有限状态随机机器来复制。通过使用基于位置的Qubit的量子点制成的每个量子系统，并通过使用基于位置的Qubits来描述，可以通过在有限的随机状态机器中编码的经典统计模型有效地描述，其S矩阵的结构非常具体，其大小是量子矩阵的两倍，因为它是量子矩阵Hamiltonian的情况。此外，线性和非线性随机有限状态机的描述映射到紧密结合和Schroedinger模型。 n维复杂时间的概念纳入了紧密结合模型中，因此在大多数一般情况下对耗散的描述是可能的。
The mathematical equivalence between finite state stochastic machine and non-dissipative and dissipative quantum tight-binding and Schroedinger model is derived. Stochastic Finite state machine is also expressed by classical epidemic model and can reproduce the quantum entanglement emerging in the case of electrostatically coupled qubits described by von-Neumann entropy both in non-dissipative and dissipative case. The obtained results shows that quantum mechanical phenomena might be simulated by classical statistical model as represented by finite state stochastic machine. It includes the quantum like entanglement and superposition of states. Therefore coupled epidemic models expressed by classical systems in terms of classical physics can be the base for possible incorporation of quantum technologies and in particular for quantum like computation and quantum like communication. The classical density matrix is derived and described by the equation of motion in terms of anticommutator. Existence of Rabi like oscillations is pointed in classical epidemic model. Furthermore the existence of Aharonov-Bohm effect in quantum systems can also be reproduced by the classical epidemic model or in broader sense by finite state stochastic machine. Every quantum system made from quantum dots and described by simplistic tight-binding model by use of position-based qubits can be effectively described by classical statistical model encoded in finite stochastic state machine with very specific structure of S matrix that has twice bigger size as it is the case of quantum matrix Hamiltonian. Furthermore the description of linear and non-linear stochastic finite state machine is mapped to tight-binding and Schroedinger model. The concept of N dimensional complex time is incorporated into tight-binding model, so the description of dissipation in most general case is possible.
