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2022 ◽  
Vol 27 (4) ◽  
pp. 751-759
Author(s):  
Xiangmin Ji ◽  
Baonan Wang ◽  
Feng Hu ◽  
Chao Wang ◽  
Huanguo Zhang

2022 ◽  
Author(s):  
Kyungtaek Jun

Abstract With the advent of quantum computers, many quantum computing algorithms are being developed. Solving linear systems is one of the most fundamental problems in almost all of science and engineering. Harrow-Hassidim-Lloyd algorithm, a monumental quantum algorithm for solving linear systems on the gate model quantum computers, was invented and several advanced variations have been developed. For a given square matrix A∈R(n×n) and a vector b∈R(n), we will find unconstrained binary optimization (QUBO) models for a vector x∈R(n) that satisfies Ax=b. To formulate QUBO models for a linear system solving problem, we make use of a linear least-square problem with binary representation of the solution. We validate those QUBO models on the D-Wave system and discuss the results. For a simple system, We provide a python code to calculate the matrix characterizing the relationship between the variables and to print the test code that can be used directly in D-Wave system.


2022 ◽  
Vol 9 ◽  
Author(s):  
Shohei Watabe ◽  
Michael Zach Serikow ◽  
Shiro Kawabata ◽  
Alexandre Zagoskin

In order to model and evaluate large-scale quantum systems, e.g., quantum computer and quantum annealer, it is necessary to quantify the “quantumness” of such systems. In this paper, we discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems, which could be used to characterize their degree of quantumness. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution, i.e., the accessibility index. Applying it to the case of D-Wave One superconducting quantum annealing device, we find that its operation as described falls well within the quantum domain.


2021 ◽  
Vol 104 (24) ◽  
Author(s):  
A. Biborski ◽  
M. P. Nowak ◽  
M. Zegrodnik

Author(s):  
Saúl Gonzalez-Bermejo ◽  
Guillermo Alonso-Linaje ◽  
Parfait Atchade-Adelomou

We propose a new binary formulation of the Travelling Salesman Problem (TSP), with which we overcame the best formulation of the Vehicle Routing Problem (VRP) in terms of the minimum number of necessary variables. Furthermore, we present a detailed study of the constraints used and compare our model (GPS) with other frequent formulations (MTZ and native formulation). Finally, we have carried out a coherence and efficiency check of the proposed formulation by running it on a quantum annealing computer, D-Wave\_2000Q6.


Author(s):  
Xingyu Guo ◽  
Ryo Ashida ◽  
Yuto Noguchi ◽  
Ryusuke Kajita ◽  
Hitoshi Tanaka ◽  
...  

Abstract By using a newly developed five-pin probe antenna and two-dimensional mechanical probe driving system, the 2-D wave pattern of phase and amplitude has been directly measured in Low Aspect ratio Torus Experiment (LATE), for an overdense ECR plasma with microwave obliquely injected. In the case of O-mode injection, an EBW-like wave pattern has been detected for the first time, in a localized region near the upper hybrid resonance layer. The pattern has a short wavelength of about 2 mm and is also electrostatic and backward. In the case of X-mode injection, the 2-D wave pattern is quite different and no EBW signal can be observed. By adjusting the toroidal magnetic field in O-mode injection, it is found that both the position and size of the EBW region have changed, which suggest the localized condition of efficient O-X-B conversion and high collisional damping rate of EBWs in these experiments.


2021 ◽  
Vol 104 (6) ◽  
Author(s):  
W. Liu ◽  
J. L. Lou ◽  
Y. L. Ye ◽  
Z. H. Li ◽  
Q. T. Li ◽  
...  
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