Quadratic Clifford expansion for efficient benchmarking and initialization of variational quantum algorithms

• URL: http://arxiv.org/abs/2011.09927v2
• Date: Mon, 14 Dec 2020 08:14:29 GMT
• Title: Quadratic Clifford expansion for efficient benchmarking and initialization of variational quantum algorithms
• Authors: Kosuke Mitarai and Yasunari Suzuki and Wataru Mizukami and Yuya O. Nakagawa and Keisuke Fujii
• Abstract summary: Variational quantum algorithms are considered to be appealing applications of near-term quantum computers. We propose a perturbative approach for efficient benchmarking of variational quantum algorithms.
• Score: 0.8808007156832224
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Variational quantum algorithms are considered to be appealing applications of near-term quantum computers. However, it has been unclear whether they can outperform classical algorithms or not. To reveal their limitations, we must seek a technique to benchmark them on large scale problems. Here, we propose a perturbative approach for efficient benchmarking of variational quantum algorithms. The proposed technique performs perturbative expansion of a circuit consisting of Clifford and Pauli rotation gates, which is enabled by exploiting the classical simulatability of Clifford circuits. Our method can be applied to a wide family of parameterized quantum circuits consisting of Clifford gates and single-qubit rotation gates. The approximate optimal parameter obtained by the method can also serve as an initial guess for further optimizations on a quantum device, which can potentially solve the so-called ``barren-plateau'' problem. As the first application of the method, we perform a benchmark of so-called hardware-efficient-type ansatzes when they are applied to the VQE of one-dimensional hydrogen chains up to $\mathrm{H}_{24}$, which corresponds to $48$-qubit system, using a standard workstation.

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