算子投影变分量子虚时间演化

Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella, Fedor Simkovic IV, Riccardo Rossi
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引用次数: 0

摘要

变分量子虚时间演化(VQITE)是在量子计算机上制备基态的领先技术。VQITE 的一个重大计算挑战是量子几何张量的确定。我们发现,要求虚时演化只有在投影到所选算子集时才是正确的,可以绕过保真度估计,实现电路深度的两倍缩减,并将测量复杂性从参数数量的二次方降低到线性。我们通过对横向场伊辛模型的仿真证明,在相同精度下,我们的算法所需的测量次数提高了几个数量级。
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Operator-Projected Variational Quantum Imaginary Time Evolution
Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique for ground state preparation on quantum computers. A significant computational challenge of VQITE is the determination of the quantum geometric tensor. We show that requiring the imaginary-time evolution to be correct only when projected onto a chosen set of operators allows to achieve a twofold reduction in circuit depth by bypassing fidelity estimations, and reduces measurement complexity from quadratic to linear in the number of parameters. We demonstrate by a simulation of the transverse-field Ising model that our algorithm achieves a several orders of magnitude improvement in the number of measurements required for the same accuracy.
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