Performance of Domain-Wall Encoding for Quantum Annealing
Jie Chen,Tobias Stollenwerk,Nicholas Chancellor +2 more
- Vol. 2, pp 1-14
Reads0
Chats0
TLDR
In this article, the authors compared domain-wall encoding with one-hot encoding for three different problems at different sizes of both the problem and the variables, and concluded that domainwall encoding yields superior performance against a variety of metrics.Abstract:
In this article, we experimentally test the performance of the recently proposed domain-wall encoding of discrete variables Chancellor, 2019, on Ising model flux qubit quantum annealers. We compare this encoding with the traditional one-hot methods and find that they outperform the one-hot encoding for three different problems at different sizes of both the problem and the variables. From these results, we conclude that the domain-wall encoding yields superior performance against a variety of metrics furthermore; we do not find a single metric by which one hot performs better. We even find that a 2000Q quantum annealer with a drastically less connected hardware graph but using the domain-wall encoding can outperform the next-generation Advantage processor if that processor uses one-hot encoding.read more
Citations
More filters
Journal ArticleDOI
Quantum annealing for industry applications: introduction and review
TL;DR: In this article , the authors provide a literature review of the theoretical motivations for QA as a heuristic quantum optimization algorithm, the software and hardware that is required to use such quantum processors, and the state-of-the-art applications and proofs of concepts that have been demonstrated using them.
Quantum approximate optimization algorithm for qudit systems with long-range interactions
Yannick Deller,Sebastian Schmitt,Maciej Lewenstein,St. Lenk,Marie-Louise Nobs Federer,Fred Jendrzejewski,Philipp Hauke,Valentin Kasper +7 more
TL;DR: In this article , the authors discuss the quantum approximate optimization algorithm (QAOA) for qudit systems and layout its implementation in platforms with long-range interactions between qudits such as trapped ions, cold atomic mixtures, Rydberg atoms and atoms in cavities.
Journal ArticleDOI
Understanding domain-wall encoding theoretically and experimentally
TL;DR: In this article , the authors show that for problems of practical interest for quantum computing and assuming only quadratic interactions are available between the binary variables, it is not possible to have a more efficient general encoding in terms of number of binary variables per discrete variable.
Posted Content
Understanding domain-wall encoding theoretically and experimentally
TL;DR: In this article, the performance of encoding pairwise interactions of higher-than-binary discrete variables (these models are sometimes referred to as discrete quadratic models) into binary variables based on domain walls on one dimensional Ising chains was analyzed.
Journal ArticleDOI
Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
TL;DR: This manuscript presents an intuitive method for synthesizing and analyzing discrete (i.e., integer-based) optimization problems, wherein the problem and corresponding algorithmic primitives are expressed using a discrete quantum intermediate representation (DQIR) that is encoding-independent.
References
More filters
Journal ArticleDOI
Matplotlib: A 2D Graphics Environment
TL;DR: Matplotlib is a 2D graphics package used for Python for application development, interactive scripting, and publication-quality image generation across user interfaces and operating systems.
Journal ArticleDOI
IPython: A System for Interactive Scientific Computing
Fernando Perez,Brian E. Granger +1 more
TL;DR: The IPython project as mentioned in this paper provides an enhanced interactive environment that includes, among other features, support for data visualization and facilities for distributed and parallel computation for interactive work and a comprehensive library on top of which more sophisticated systems can be built.
Proceedings ArticleDOI
Jupyter Notebooks – a publishing format for reproducible computational workflows
Thomas Kluyver,Benjamin Ragan-Kelley,Fernando Perez,Brian E. Granger,Matthias Bussonnier,Jonathan Frederic,Kyle Kelley,Jessica B. Hamrick,Jason Grout,Sylvain Corlay,Paul Ivanov,Damián Avila,Safia Abdalla,Carol Willing +13 more
TL;DR: Jupyter notebooks, a document format for publishing code, results and explanations in a form that is both readable and executable, is presented.
Journal ArticleDOI
Quantum annealing in the transverse Ising model
TL;DR: In this article, the authors introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. But quantum fluctuations cause transitions between states and thus play the same role as thermal fluctuations in the conventional approach.