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There are many factors that influence the design of quantum annealing processing units. Here we address the issue of improving quantum annealing processing unit designs from the point of view of the critical behavior of spin glasses. It has…

量子物理 · 物理学 2018-11-05 Helmut G. Katzgraber , M. A. Novotny

One of the main bottlenecks in solving combinatorial optimization problems with quantum annealers is the qubit connectivity in the hardware. A possible solution for larger connectivty is minor embedding. This techniques makes the…

量子物理 · 物理学 2024-05-24 Michele Cattelan , Jemma Bennett , Sheir Yarkoni , Wolfgang Lechner

Quantum annealing provides a promising route for the development of quantum optimization devices, but the usefulness of such devices will be limited in part by the range of implementable problems as dictated by hardware constraints. To…

量子物理 · 物理学 2015-10-14 Walter Vinci , Tameem Albash , Gerardo Paz-Silva , Itay Hen , Daniel A. Lidar

Quantum annealers (QA), such as D-Wave systems, become increasingly efficient and competitive at solving combinatorial optimization problems. However, solving problems that do not directly map the chip topology remains challenging for this…

量子物理 · 物理学 2024-07-30 Valentin Gilbert , Stéphane Louise

Quantum annealing is a quantum algorithm for computing solutions to combinatorial optimization problems. This study proposes a method for minor embedding optimization problems onto sparse quantum annealing hardware graphs called 4-clique…

量子物理 · 物理学 2024-03-19 Elijah Pelofske

An important challenge in superconducting quantum computing is the need to physically couple many devices using quasi-two-dimensional fabrication processes. Recent advances in the design and fabrication of quantum annealing processors have…

量子物理 · 物理学 2020-09-29 Andrew D. King , William Bernoudy

The D-Wave quantum annealers make it possible to obtain high quality solutions of NP-hard problems by mapping a problem in a QUBO (quadratic unconstrained binary optimization) or Ising form to the physical qubit connectivity structure on…

量子物理 · 物理学 2022-12-29 Elijah Pelofske , Georg Hahn , Hristo Djidjev

This study addresses the minor-embedding problem, which involves mapping the variables of an Ising model onto a quantum annealing processor. The primary motivation stems from the observed performance disparity of quantum annealers when…

量子物理 · 物理学 2026-03-18 Aitor Gomez-Tejedor , Eneko Osaba , Esther Villar-Rodriguez

We present a general error-correcting scheme for quantum annealing that allows for the encoding of a logical qubit into an arbitrarily large number of physical qubits. Given any Ising model optimization problem, the encoding replaces each…

量子物理 · 物理学 2016-09-01 Walter Vinci , Tameem Albash , Daniel A. Lidar

Current quantum annealing experiments often suffer from restrictions in connectivity in the sense that only certain qubits can be coupled to each other. The most common strategy to overcome connectivity restrictions so far is by combining…

Solving optimization problems on quantum annealers usually requires each variable of the problem to be represented by a connected set of qubits called a logical qubit or a chain. Chain weights, in the form of ferromagnetic coupling between…

量子物理 · 物理学 2023-01-31 Hristo N. Djidjev

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

量子物理 · 物理学 2016-05-31 Itay Hen , Federico M. Spedalieri

Optimal parameter setting for applications problems embedded into hardware graphs is key to practical quantum annealers (QA). Embedding chains typically crop up as harmful Griffiths phases, but can be used as a resource as we show here: to…

量子物理 · 物理学 2021-01-04 Sergey Knysh , Eugeniu Plamadeala , Davide Venturelli

Quantum Annealing (QA) is a quantum computing paradigm for solving combinatorial optimization problems formulated as Quadratic Unconstrained Binary Optimization (QUBO) problems. An essential step in QA is minor embedding, which maps the…

量子物理 · 物理学 2026-03-03 Riccardo Nembrini , Maurizio Ferrari Dacrema , Paolo Cremonesi

Quantum annealing (QA) has emerged as a powerful technique to solve optimization problems by taking advantages of quantum physics. In QA process, a bottleneck that may prevent QA to scale up is minor embedding step in which we embed…

量子物理 · 物理学 2023-07-06 Hoang M. Ngo , Tamer Kahveci , My T. Thai

The standard approach to encoding constraints in quantum optimization is the quadratic penalty method. Quadratic penalties introduce additional couplings and energy scales, which can be detrimental to the performance of a quantum optimizer.…

量子物理 · 物理学 2024-12-17 Puya Mirkarimi , David C. Hoyle , Ross Williams , Nicholas Chancellor

Quantum annealing has emerged as a powerful platform for simulating and optimizing classical and quantum Ising models. Quantum annealers, like other quantum and/or analog computing devices, are susceptible to nonidealities including…

量子物理 · 物理学 2024-10-15 Kevin Chern , Kelly Boothby , Jack Raymond , Pau Farré , Andrew D. King

We show that the NP-hard quadratic unconstrained binary optimization (QUBO) problem on a graph $G$ can be solved using an adiabatic quantum computer that implements an Ising spin-1/2 Hamiltonian, by reduction through minor-embedding of $G$…

量子物理 · 物理学 2009-07-16 Vicky Choi

Quantum annealing aims at solving optimization problems efficiently by preparing the ground state of an Ising spin-Hamiltonian quantum mechanically. A prerequisite of building a quantum annealer is the implementation of programmable…

量子气体 · 物理学 2020-11-10 Xingze Qiu , Peter Zoller , Xiaopeng Li

Current quantum annealing (QA) hardware suffers from practical limitations such as finite temperature, sparse connectivity, small qubit numbers, and control error. We propose new algorithms for mapping boolean constraint satisfaction…

量子物理 · 物理学 2016-03-11 Zhengbing Bian , Fabian Chudak , Robert Israel , Brad Lackey , William G. Macready , Aidan Roy
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