Simple and high-precision Hamiltonian simulation by compensating Trotter error with linear combination of unitary operations
ArXiv 2212.04566 (2022)
Towards a variational Jordan–Lee–Preskill quantum algorithm
Machine Learning: Science and Technology IOP Publishing 3:4 (2022) 045030-045030
Abstract:
Abstract Rapid developments of quantum information technology show promising opportunities for simulating quantum field theory in near-term quantum devices. In this work, we formulate the theory of (time-dependent) variational quantum simulation of the 1 + 1 dimensional λ ϕ 4 quantum field theory including encoding, state preparation, and time evolution, with several numerical simulation results. These algorithms could be understood as near-term variational quantum circuit (quantum neural network) analogs of the Jordan–Lee–Preskill algorithm, the basic algorithm for simulating quantum field theory using universal quantum devices. Besides, we highlight the advantages of encoding with harmonic oscillator basis based on the Lehmann—Symanzik—Zimmermann reduction formula and several computational efficiency such as when implementing a bosonic version of the unitary coupled cluster ansatz to prepare initial states. We also discuss how to circumvent the ‘spectral crowding’ problem in the quantum field theory simulation and appraise our algorithm by both state and subspace fidelities.Efficient quantum imaginary time evolution by drifting real time evolution: an approach with low gate and measurement complexity
ArXiv 2203.11112 (2022)
Experimental Quantum State Measurement with Classical Shadows
Physical Review Letters American Physical Society (APS) 127:20 (2021) 200501
Universal quantum algorithmic cooling on a quantum computer
ArXiv 2109.15304 (2021)