论文标题
空间量子的量子模拟
Quantum simulations of a qubit of space
论文作者
论文摘要
在循环量子重力方法的Planck量表物理学中，量子几何形状由所谓的自旋网络状态的叠加表示。在最近的文献中，已经研究了从量子引力系统的量子模拟的角度来看的一类自旋网络。在这种情况下，自旋网络状态由带有四个价值节点的图表，以及附着在其上的二维互穿的希尔伯特空间（码头）。在本文中，提出了为一般跨区域量子量子量的量子电路的构建。获得的电路在5 Q Q级（Yorktown）和15秒（墨尔本）IBM超导量子计算机上进行模拟，提供令人满意的保真度。这些电路为将来的量子模拟提供了基础。此外，还引入了一类最大纠缠的旋转网络状态。作为应用程序的一个例子，试图通过使用超导量子处理器来确定单极和偶极旋转网络的过渡幅度。
In loop quantum gravity approach to Planck scale physics, quantum geometry is represented by superposition of the so-called spin network states. In the recent literature, a class of spin networks promising from the perspective of quantum simulations of quantum gravitational systems has been studied. In this case, the spin network states are represented by graphs with four-valent nodes, and two dimensional intertwiner Hilbert spaces (qubits of space) attached to them. In this article, construction of quantum circuits for a general intertwiner qubit is presented. The obtained circuits are simulated on 5-qubit (Yorktown) and 15-qubit (Melbourne) IBM superconducting quantum computers, giving satisfactory fidelities. The circuits provide building blocks for quantum simulations of complex spin networks in the future. Furthermore, a class of maximally entangled states of spin networks is introduced. As an example of application, attempts to determine transition amplitudes for a monopole and a dipole spin networks with the use of superconducting quantum processor are made.
