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Annealing for prediction of grand canonical crystal structures: Efficient implementation of n-body atomic interactions
Yannick Couzinie, Yusuke Nishiya, Hirofumi Nishi +3
We propose an annealing scheme usable on modern Ising machines for crystal structures prediction (CSP) by taking into account the general n-body atomic interactions, and in particu…
Designing Quantum Annealing Schedules using Bayesian Optimization
Jernej Rudi Finžgar, Martin J. A. Schuetz, J. Kyle Brubaker +2
We propose and analyze the use of Bayesian optimization techniques to design quantum annealing schedules with minimal user and resource requirements. We showcase our scheme with re…
Effectiveness of quantum annealing for continuous-variable optimization
Shunta Arai, Hiroki Oshiyama, Hidetoshi Nishimori
The application of quantum annealing to the optimization of continuous-variable functions is a relatively unexplored area of research. We test the performance of quantum annealing…
Convergence condition of simulated quantum annealing with a non-stoquastic catalyst
Yusuke Kimura, Hidetoshi Nishimori
The Ising model with a transverse field and an antiferromagnetic transverse interaction is represented as a matrix in the computational basis with non-zero off-diagonal elements wi…
Convergence condition of simulated quantum annealing for closed and open systems
Yusuke Kimura, Hidetoshi Nishimori
Simulated quantum annealing is a generic classical protocol to simulate some aspects of quantum annealing and is sometimes regarded as a classical alternative to quantum annealing…
Rigorous convergence condition for quantum annealing
Yusuke Kimura, Hidetoshi Nishimori
We derive a generic bound on the rate of decrease of transverse field for quantum annealing to converge to the ground state of a generic Ising model when quantum annealing is formu…
Quantum and classical annealing in a continuous space with multiple local minima
Yang Wei Koh, Hidetoshi Nishimori
The protocol of quantum annealing is applied to an optimization problem with a one-dimensional continuous degree of freedom, a variant of the problem proposed by Shinomoto and Kaba…
Coherent quantum annealing in a programmable 2000-qubit Ising chain
Andrew D. King, Sei Suzuki, Jack Raymond +21
Quantum simulation has emerged as a valuable arena for demonstrating and understanding the capabilities of near-term quantum computers. Quantum annealing has been used successfully…
Greedy parameter optimization for diabatic quantum annealing
Tadashi Kadowaki, Hidetoshi Nishimori
A shorter processing time is desirable for quantum computation to minimize the effects of noise. We propose a simple procedure to variationally determine a set of parameters in the…
Breakdown of the weak coupling limit in quantum annealing
Yuki Bando, Ka-Wa Yip, Huo Chen +2
Reverse annealing is a variant of quantum annealing, in which the system is prepared in a classical state, reverse-annealed to an inversion point, and then forward-annealed. We rep…
Simulated quantum annealing as a simulator of non-equilibrium quantum dynamics
Yuki Bando, Hidetoshi Nishimori
Simulated quantum annealing based on the path-integral Monte Carlo is one of the most common tools to simulate quantum annealing on classical hardware. Nevertheless, it is in princ…
Phase transitions in the frustrated Ising ladder with stoquastic and nonstoquastic catalysts
Kabuki Takada, Shigetoshi Sota, Seiji Yunoki +3
The role of nonstoquasticity in the field of quantum annealing and adiabatic quantum computing is an actively debated topic. We study a strongly-frustrated quasi-one-dimensional qu…
Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
Yuki Susa, Hidetoshi Nishimori
The annealing schedule is optimized for a parameter in the Lechner-Hauke-Zoller (LHZ) scheme for quantum annealing designed for the all-to-all-interacting Ising model representing…
Two-parameter counter-diabatic driving in quantum annealing
Luise Prielinger, Andreas Hartmann, Yu Yamashiro +3
We introduce a two-parameter approximate counter-diabatic term into the Hamiltonian of the transverse-field Ising model for quantum annealing to accelerate convergence to the solut…
Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
Kohji Nishimura, Hidetoshi Nishimori, Helmut G. Katzgraber
The Griffiths-McCoy singularity is a phenomenon characteristic of low-dimensional disordered quantum spin systems, in which the magnetic susceptibility shows singular behavior as a…
Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
Yuki Bando, Yuki Susa, Hiroki Oshiyama +7
The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is th…
Mean-Field Solution of the Weak-Strong Cluster Problem for Quantum Annealing with Stoquastic and Non-Stoquastic Catalysts
Kabuki Takada, Yu Yamashiro, Hidetoshi Nishimori
We study the weak-strong cluster problem for quantum annealing in its mean-field version as proposed by Albash [Phys. Rev. A 99 (2019) 042334] who showed by numerical diagonalizati…
Reverse quantum annealing of the -spin model with relaxation
Gianluca Passarelli, Ka-Wa Yip, Daniel A. Lidar +2
In reverse quantum annealing, the initial state is an eigenstate of the final problem Hamiltonian and the transverse field is cycled rather than strictly decreased as in standard (…
Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term
Yuki Susa, Hidetoshi Nishimori
We analyze the performance of quantum annealing as formulated by Lechner, Hauke, and Zoller (LHZ), by which a Hamiltonian with all-to-all two-body interactions is reduced to a corr…
Dynamics of reverse annealing for the fully-connected -spin model
Yu Yamashiro, Masaki Ohkuwa, Hidetoshi Nishimori +1
Reverse annealing is a relatively new variant of quantum annealing, in which one starts from a classical state and increases and then decreases the amplitude of the transverse fiel…
Perspectives of quantum annealing: Methods and implementations
Philipp Hauke, Helmut G. Katzgraber, Wolfgang Lechner +2
Quantum annealing is a computing paradigm that has the ambitious goal of efficiently solving large-scale combinatorial optimization problems of practical importance. However, many…
Quantum annealing of the -spin model under inhomogeneous transverse field driving
Yuki Susa, Yu Yamashiro, Masayuki Yamamoto +3
We solve the mean-field-like -spin Ising model under a spatio-temporal inhomogeneous transverse field to study the effects of inhomogeneity on the performance of quantum anneali…
Reverse annealing for the fully connected -spin model
Masaki Ohkuwa, Hidetoshi Nishimori, Daniel A. Lidar
Reverse annealing is a variant of quantum annealing that starts from a given classical configuration of spins (qubits). In contrast to the conventional formulation, where one start…
Nested Quantum Annealing Correction at Finite Temperature: -spin models
Shunji Matsuura, Hidetoshi Nishimori, Walter Vinci +1
Quantum annealing in a real device is necessarily susceptible to errors due to diabatic transitions and thermal noise. Nested quantum annealing correction is a method to suppress e…