Quantum annealing of pure and random Ising chains coupled to a bosonic environment

Abstract

We study quantum annealing of pure and random transverse Ising chains that are coupled to boson baths, using a novel numerical method based on the combination of the quasi-adiabatic propagation path integral (QUAPI) and the matrix product state (MPS) formalisms. We present numerical results on systems up to 64 spins and conclude that the baths disturb quantum annealing of pure and random Ising chains. The numerical method to compute the reduced density matrix is described in detail.

arXiv comment14 pages, 10 figures, submitted to JPSJ Special Topics

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Cited by in corpus (10)

• Quantum Annealing: An Overview
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Tensor network simulation of chains of non-Markovian open quantum systems
• Simulated quantum annealing as a simulator of non-equilibrium quantum dynamics
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Kibble-Zurek mechanism in a Dissipative Transverse Ising Chain
• Classical simulation and theory of quantum annealing in a thermal environment
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• Half Landau-Zener ramp to a quantum phase transition in a dissipative single spin sodel