论文标题

小型量子计算机上大型系统的平行量子模拟

Parallel Quantum Simulation of Large Systems on Small Quantum Computers

论文作者

Barratt, Fergus, Dborin, James, Bal, Matthias, Stojevic, Vid, Pollmann, Frank, Green, Andrew G.

论文摘要

张量网络允许计算和纠缠资源集中在希尔伯特空间的有趣地区。在NISQ机器上实施,它们允许模拟比计算机本身大得多的量子系统。这是通过平行量子模拟来实现的。在这里,我们在最简单的情况下证明了这一点。无限的,翻译不变的量子自旋链。我们提供CIRQ和QISKIT代码,这些代码将无限的,翻译不变的矩阵乘积状态(IMPS)算法转换为有限的深度量子电路机,从而允许表示,优化和进化任意的一维系统。这些代码的说明性模拟输出为可实现的电路尺寸提供了。

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 translate infinite, translationally invariant matrix product state (iMPS) algorithms to finite-depth quantum circuit machines, allowing the representation, optimisation and evolution arbitrary one-dimensional systems. Illustrative simulated output of these codes for achievable circuit sizes is given.

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