论文标题
量子系统通过古典网络的模拟性
Quantum systems simulatability through classical networks
论文作者
论文摘要
我们已经表明，在局部变换下，有限维的希尔伯特空间上的量子系统是等效的。使用这些转换会产生一个仪表组，该量规组连接了与每个量子系统相关的汉密尔顿操作员。不同的量子系统的连接方式是研究其中一个允许了解另一个系统。该结果可以应用于量子系统模拟领域，以便从另一个可模拟的量子系统中模仿更复杂的量子系统。鉴于有一个桥梁允许使用经典电路在这种希尔伯特空间上模拟特定的量子系统，我们将提供一种一般场景，以扩展此桥梁，以通过Schrödinger方程模拟这些量子系统的任何一个量子系统。与量子系统相比，在实验室中可以更容易地实现和控制该经典系统。
We have shown that quantum systems on finite-dimensional Hilbert spaces are equivalent under local transformations. Using these transformations give rise to a gauge group that connects the hamiltonian operators associated with each quantum system. Different quantum systems are connected in such way that studying one of them allows to understand the other. This result can be applied to the field of simulation of quantum systems, in order to mimic more complicated quantum systems from another simulatable quantum system. Given that there is a bridge that allows to simulate a particular quantum system on this kind of Hilbert spaces using classical circuits we will provide a general scenario to extend this bridge to simulate the time evolution, via Schrödinger equation, of any of these quantum system using classical circuits. This classical systems can be implemented and controlled more easily in the laboratory than the quantum systems.
