Quantum Topology Optimization via Quantum Annealing
نویسندگان
چکیده
We present a quantum annealing-based solution method for topology optimization (TO). In particular, we consider TO in more general setting, i.e., applied to structures of continuum domains where designs are represented as distributed functions, referred problems. According the problem's properties and structure, formulate appropriate sub-problems that can be solved on an computer. The methodology established effectively tackle problems formulated mixed-integer nonlinear programs. To maintain resulting small enough computers currently accessible with numbers qubits limited connectivity, further develop splitting approach splits problem into two parts: first part efficiently classical computers, second reduced number variables is By such, practical varying scales handled D-Wave annealer. More specifically, concern minimum compliance, canonical seeks optimal distribution materials minimize compliance desired material usage. superior performance developed assessed compared stateof-the-art heuristic methods, terms both quality computational efficiency. work hence provides promising new avenue applying computing various applications.
منابع مشابه
Study of Optimization Problems by Quantum Annealing
We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal fluctuations in the conventional approach. The idea is tested by the two models, the transverse Ising model and the traveling salesman problem. Adding the t...
متن کاملQuantum speedup by quantum annealing.
We study the glued-trees problem from A. M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Gutmann, and D. Spielman, in Proceedings of the 35th Annual ACM Symposium on Theory of Computing (ACM, San Diego, CA, 2003), p. 59. in the adiabatic model of quantum computing and provide an annealing schedule to solve an oracular problem exponentially faster than classically possible. The Hamiltonians involve...
متن کاملQuantum annealing
Quantum annealing Quantum annealing (also known as alloy, crystallization or tempering) is analogous to simulated annealing but in substitution of thermal activation by quantum tunneling. The class of algorithmic methods for quantum annealing (dubbed: 'QA'), sometimes referred by the italian school as Quantum Stochastic Optimization ('QSO'), is a promising metaheuristic tool for solving local s...
متن کاملQuantum Algebra and Quantum Topology
I work in an area at the intersection of representation theory, low-dimensional topology, higher category theory, and operator algebras which is often referred to as quantum algebra or quantum topology. A practical description of this field is that it consists of the mathematics which is descended from the Jones polynomial [Jon85]. The unifying idea behind quantum topology is to consider a func...
متن کاملQuantum Topology and Quantum Computing
I. Introduction This paper is a quick introduction to key relationships between the theories of knots,links, three-manifold invariants and the structure of quantum mechanics. In section 2 we review the basic ideas and principles of quantum mechanics. Section 3 shows how the idea of a quantum amplitude is applied to the construction of invariants of knots and links. Section 4 explains how the ge...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE transactions on quantum engineering
سال: 2023
ISSN: ['2689-1808']
DOI: https://doi.org/10.1109/tqe.2023.3266410