On the optimal working point in dissipative quantum annealing

Abstract

We study the effect of a thermal environment on the quantum annealing dynamics of a transverse-field Ising chain. The environment is modelled as a single Ohmic bath of quantum harmonic oscillators weakly interacting with the total transverse magnetization of the chain in a translationally invariant manner. We show that the density of defects generated at the end of the annealing process displays a minimum as a function of the annealing time, the so-called optimal working point, only in rather special regions of the bath temperature and coupling strength plane. We discuss the relevance of our results for current and future experimental implementations with quantum annealing hardware.

arXiv comment11 pages, 8 figures

References in corpus (36)

• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum Annealing in the Transverse Ising Model
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Adiabatic Quantum Computing
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Cosmological Experiments in Condensed Matter Systems
• Quantum trajectories and open many-body quantum systems
• Quantum annealing with more than one hundred qubits
• Theory of Quantum Annealing of an Ising Spin Glass
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Quantum Annealing: A New Method for Minimizing Multidimensional Functions
• Experimental signature of programmable quantum annealing
• Experimental Investigation of an Eight Qubit Unit Cell in a Superconducting Optimization Processor
• What is the Computational Value of Finite Range Tunneling?
• Computational Role of Multiqubit Tunneling in a Quantum Annealer
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
• Entanglement in a quantum annealing processor
• Noise and decoherence in quantum two-level systems
• Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Adiabatic dynamics in open quantum critical many-body systems
• Dynamics of a quantum phase transition in the random Ising model
• Landau Zener transitions in a dissipative environment: Numerically exact results
• Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
• Markovian Quantum Master Equation beyond Adiabatic Regime
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Quantum Ising chains with boundary fields
• Robustness of adiabatic passage trough a quantum phase transition
• Quantum Kibble-Zurek physics in the presence of spatially-correlated dissipation
• Dissipative Landau-Zener problem and thermally assisted Quantum Annealing
• Quantum annealing via environment-mediated quantum diffusion
• Competition between relaxation and external driving in the dissipative Landau-Zener problem
• Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
• Direct comparison of quantum and simulated annealing on a fully-connected Ising ferromagnet

Cited by in corpus (22)

• Coherent quantum annealing in a programmable 2000-qubit Ising chain
• Quantum Annealing: An Overview
• Lindblad dissipative dynamics in presence of phase coexistence
• Coherent and dissipative dynamics at quantum phase transitions
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Improving quantum annealing of the ferromagnetic $p$-spin model through pausing
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
• Benchmarking digital quantum simulations above hundreds of qubits using quantum critical dynamics
• Standard quantum annealing outperforms adiabatic reverse annealing with decoherence
• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
• Kibble-Zurek mechanism in a Dissipative Transverse Ising Chain
• Classical simulation and theory of quantum annealing in a thermal environment
• On the dynamics of Simulated Quantum Annealing in random Ising chains
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Theoretical survey of unconventional quantum annealing methods applied to adifficult trial problem
• Noise-tolerant quantum speedups in quantum annealing without fine tuning
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Improving quantum annealing by engineering the coupling to the environment
• Noise Effects on Diabatic Quantum Annealing Protocols
• Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description
• Nonadiabatic evolution and thermodynamics for a boundary-driven system with a weak intrasubsystem interaction