Reducing the amount of single-qubit rotations in VQE and related algorithms

Abstract

With the advent of hybrid quantum classical algorithms using parameterized quantum circuits the question of how to optimize these algorithms and circuits emerges. In this paper we show that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. We also show that the performance of a variational quantum eigensolver is unaffected by a similar decrease in single-qubit rotations. We compare relative expressibility and entangling capability across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore we consider quantum frequency comb photonics as a platform for such algorithms and show that we can obtain an relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits.

arXiv commentVersion accepted for publication in Advanced Quantum Technologies

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• Connecting geometry and performance of two-qubit parameterized quantum circuits
• Quantum Energy Landscape and VQA Optimization
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Quantum Computation for Predicting Electron and Phonon Properties of Solids
• Application of the Diamond Gate in Quantum Fourier Transformations and Quantum Machine Learning
• Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver
• Learning the expressibility of quantum circuit ansatz using transformer
• Learning Fourier series with parametrized quantum circuits
• Multiqubit state learning with entangling quantum generative adversarial networks
• High-expressibility Quantum Neural Networks using only classical resources