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We have developed a framework to convert an arbitrary integer factorization problem to an executable Ising model by first writing it as an optimization function and then transforming the k-bit coupling ($k\geq 3$) terms to quadratic terms…

Quantum Physics · Physics 2018-06-13 Shuxian Jiang , Keith A. Britt , Alexander J. McCaskey , Travis S. Humble , Sabre Kais

Classical programming languages cannot model essential elements of complex systems such as true random number generation. This paper develops a formal programming language called the lambda-q calculus that addresses the fundamental…

Quantum Physics · Physics 2007-05-23 Philip Maymin

High-fidelity qubit initialization is of significance for efficient error correction in fault tolerant quantum algorithms. Combining two best worlds, speed and robustness, to achieve high-fidelity state preparation and manipulation is…

Quantum Physics · Physics 2019-04-09 Ying Yan , Yi Chao Li , Adam Kinos , Andreas Walther , Chunyan Shi , Lars Rippe , Joel Moser , Stefan Kröll , Xi Chen

Over the last decades, there have been many proposals for quantum computation. One of the promising candidates is adiabatic quantum computation (AQC). The central idea of AQC is about finding the ground state of a system with a problem…

Quantum Physics · Physics 2017-04-12 P. V. Pyshkin , Da-Wei Luo , J. Q. You , Lian-Ao Wu

As quantum computing continues to gain attention, there is growing interest in how classical machine learning can assist quantum workflows in practice. Automated circuit design, sometimes referred to as Quantum Architecture Search (QAS), is…

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…

Quantum Physics · Physics 2026-03-03 Riccardo Nembrini , Maurizio Ferrari Dacrema , Paolo Cremonesi

We propose a numerical approach to design highly efficient adiabatic schedules for analog quantum computing, focusing on the maximum-independent-set problem and neutral atom platforms. On the basis of a representative dataset of small…

Quantum Physics · Physics 2025-06-13 Sébastien Perseguers

We determine the complexity of several constraint satisfaction problems using the quantum adiabatic algorithm in its simplest implementation. We do so by studying the size dependence of the gap to the first excited state of "typical"…

Statistical Mechanics · Physics 2015-03-19 Itay Hen , A. P. Young

Matrix product states provide a natural entanglement basis to represent a quantum register and operate quantum gates on it. This scheme can be materialized to simulate a quantum adiabatic algorithm solving hard instances of a NP-Complete…

Quantum Physics · Physics 2009-11-11 M. C. Banuls , R. Orus , J. I. Latorre , A. Perez , P. Ruiz-Femenia

The realization of scalable fault-tolerant quantum computing is expected to hinge on quantum error-correcting codes. In the quest for more efficient quantum fault tolerance, a critical code parameter is the weight of measurements that…

Quantum Physics · Physics 2025-02-21 Austin Yubo He , Zi-Wen Liu

Since quantum computers are known to break the vast majority of currently-used cryptographic protocols, a variety of new protocols are being developed that are conjectured, but not proven to be safe against quantum attacks. Among the most…

Quantum Physics · Physics 2020-04-22 David Joseph , Alexandros Ghionis , Cong Ling , Florian Mintert

Recent advancements in quantum computing have shown promising computational advantages in many problem areas. As one of those areas with increasing attention, hybrid quantum-classical machine learning systems have demonstrated the…

Neural and Evolutionary Computing · Computer Science 2023-01-18 Li Ding , Lee Spector

Feature selection is a common step in many ranking, classification, or prediction tasks and serves many purposes. By removing redundant or noisy features, the accuracy of ranking or classification can be improved and the computational cost…

Information Retrieval · Computer Science 2022-05-10 Maurizio Ferrari Dacrema , Fabio Moroni , Riccardo Nembrini , Nicola Ferro , Guglielmo Faggioli , Paolo Cremonesi

Adiabatic quantum control protocols have been of wide interest to quantum computation due to their robustness and insensitivity to their actual duration of execution. As an extension of previous quantum learning algorithms, this work…

Quantum Physics · Physics 2023-03-03 Nannan Ma , Wenhao Chu , Jiangbin Gong

Fitting geometric models onto outlier contaminated data is provably intractable. Many computer vision systems rely on random sampling heuristics to solve robust fitting, which do not provide optimality guarantees and error bounds. It is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Anh-Dzung Doan , Michele Sasdelli , David Suter , Tat-Jun Chin

The application of quantum machine learning to large-scale high-resolution image datasets is not yet possible due to the limited number of qubits and relatively high level of noise in the current generation of quantum devices. In this work,…

Quantum Physics · Physics 2024-10-01 Amena Khatun , Muhammad Usman

Despite their ever more widespread deployment throughout society, machine learning algorithms remain critically vulnerable to being spoofed by subtle adversarial tampering with their input data. The prospect of near-term quantum computers…

Compiling quantum algorithms for near-term quantum computers (accounting for connectivity and native gate alphabets) is a major challenge that has received significant attention both by industry and academia. Avoiding the exponential…

Adiabatic operations are powerful tools for robust quantum control in numerous fields of physics, chemistry and quantum information science. The inherent robustness due to adiabaticity can, however, be impaired in applications requiring…

Mainstream machine-learning techniques such as deep learning and probabilistic programming rely heavily on sampling from generally intractable probability distributions. There is increasing interest in the potential advantages of using…

Quantum Physics · Physics 2018-01-29 Marcello Benedetti , John Realpe-Gómez , Rupak Biswas , Alejandro Perdomo-Ortiz