Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of quantum systems that are much larger than the computational machine itself. This is achieved by parallelising the quantum simulation. Here, we demonstrate this in the simplest case; an infinite, translationally invariant quantum spin chain. We provide Cirq and Qiskit code that translates infinite, translationally invariant matrix product state (iMPS) algorithms to finite-depth quantum circuit machines, allowing the representation, optimisation and evolution of arbitrary one-dimensional systems. The illustrative simulated output of these codes for achievable circuit sizes is given.

张量网络允许将计算和纠缠资源集中在希尔伯特空间的有趣区域中。在NISQ机器上实施后，它们可以模拟比计算机本身大得多的量子系统。这是通过并行化量子模拟来实现的。在这里，我们以最简单的情况进行演示。无限，平移不变的量子自旋链。我们提供Cirq和Qiskit代码，可将无限的，平移不变的矩阵乘积状态（iMPS）算法转换为有限深度的量子电路机器，从而可以表示，优化和演化任意一维系统。给出了这些代码可实现的电路尺寸的说明性模拟输出。