Quantum phase transition with inhomogeneous driving in the Lechner-Hauke-Zoller model

Abstract

We study the zero-temperature phase diagram of the Lechner-Hauke-Zoller model. An analytic expression for the free-energy and critical coefficients for finite-size systems and in the thermodynamic limit are derived and numerically verified. With the aim to improve standard quantum annealing, we introduce an inhomogeneously driven transverse field with an additional time-dependent parameter that allows one to evade the first-order quantum phase transition and, thus, improve the efficiency of the ground-state preparation considerably.

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Cited by in corpus (15)

• High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
• Two-parameter counter-diabatic driving in quantum annealing
• Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
• Minimal Constraints in the Parity Formulation of Optimization Problems
• Mean-Field Solution of the Weak-Strong Cluster Problem for Quantum Annealing with Stoquastic and Non-Stoquastic Catalysts
• Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• Sampling diverse near-optimal solutions via algorithmic quantum annealing
• Quantum annealing sampling with a bias field
• Search for optimal driving in finite quantum systems with precursors of criticality
• Inhomogeneous adiabatic preparation of a quantum critical ground state in two dimensions
• Nonstoquastic catalyst for bifurcation-based quantum annealing of ferromagnetic $p$-spin model
• Iterative classical superadiabatic algorithm for combinatorial optimization
• Four-body coupler for superconducting qubits based on Josephson parametric oscillators
• The anomalously slow dynamics of inhomogeneous quantum annealing