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Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

It is shown that entangling two-qubit phase gates for quantum computation with atoms inside a resonant optical cavity can be generated via common laser addressing, essentially, within one step. The obtained dynamical or geometrical phases…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Almut Beige

Researchers and industries are increasingly drawn to quantum computing for its computational potential. However, validating new quantum algorithms is challenging due to the limitations of current quantum devices. Software simulators are…

This article considers the massive MIMO unsourced random access problem on a quasi-static Rayleigh fading channel. Given a fixed message length and a prescribed number of channel uses, the objective is to construct a coding scheme that…

Information Theory · Computer Science 2022-03-09 Michail Gkagkos , Krishna R. Narayanan , Jean-Francois Chamberland , Costas N. Georghiades

We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices…

Quantum Physics · Physics 2015-10-28 Bernard Zygelman

In applications such as molecule design or drug discovery, it is desirable to have an algorithm which recommends new candidate molecules based on the results of past tests. These molecules first need to be synthesized and then tested for…

In the framework of model-based clustering, a model allowing several latent class variables is proposed. This model assumes that the distribution of the observed data can be factorized into several independent blocks of variables. Each…

Methodology · Statistics 2018-01-23 Matthieu Marbac , Vincent Vandewalle

Ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection. It provides us elements of algebras to be parallel sections. The moduli space of the parallel sections is…

Quantum Algebra · Mathematics 2007-11-26 Hideki Omori , Yoshiaki Maeda , Naoya Miyazaki , Akira Yoshioka

One of the central tasks in many-body physics is the determination of phase diagrams. However, mapping out a phase diagram generally requires a great deal of human intuition and understanding. To automate this process, one can frame it as a…

Quantum Physics · Physics 2024-05-20 Julian Arnold , Frank Schäfer , Alan Edelman , Christoph Bruder

Model merging aims to combine multiple fine-tuned models into a single set of weights that performs well across all source tasks. While prior work has shown that merging can approximate the performance of individual fine-tuned models for…

Machine Learning · Computer Science 2025-10-17 Mohammadsajad Alipour , Mohammad Mohammadi Amiri

We present a scalable, robust approach to creating quantum programs of arbitrary size and complexity. The approach is based on the true abstraction of the problem. The quantum program is expressed in terms of a high-level model together…

A frame is a generalization of a basis of a vector space to a redundant overspanning set whose vectors are linearly dependent. Frames find applications in signal processing and quantum information theory. We present a genetic algorithm that…

Computational Physics · Physics 2025-08-13 Sebastián Roca-Jerat , Juan Román-Roche

The neutrino oscillations in vacuum are derived in a manifestly coherent scheme. The mechanism is operative in a quantum field theoretical framework, justifying nevertheless a formal analogy with quantum mechanical two- (or more) level…

High Energy Physics - Phenomenology · Physics 2023-08-09 Anca Tureanu

The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting particles. It can transform the computational complexity from…

Numerical Analysis · Mathematics 2024-12-23 Yanshun Zhao , Jingrun Chen , Zhiwen Zhang

An algorithm based on quantum phase estimation, which discriminates quantum states nondestructively within a set of arbitrary orthogonal states, is described and experimentally verified by a NMR quantum information processor. The procedure…

Quantum Physics · Physics 2016-11-30 V S Manu , Anil Kumar

A non-linear conjugate gradient optimization scheme is used to obtain excitation energies within the Random Phase Approximation (RPA). The solutions to the RPA eigenvalue equation are located through a variational characterization using a…

Materials Science · Physics 2011-11-21 Melissa J. Lucero , Anders M. N. Niklasson , Sergei Tretiak , Matt Challacombe

We create a spatially homogeneous field inside of a ring cavity by combining two transverse modes generated by a single laser through modulation. The interference term between the two modes averages out because of the frequency difference…

In probability theory, the partition function is a factor used to reduce any probability function to a density function with total probability of one. Among other statistical models used to represent joint distribution, Markov random fields…

Emerging Technologies · Computer Science 2025-01-03 Timothe Presles , Cyrille Enderli , Gilles Burel , El Houssain Baghious

In this paper, we present a homotopical framework for studying invertible gapped phases of matter from the point of view of infinite spin lattice systems, using the framework of algebraic quantum mechanics. We define the notion of quantum…

Mathematical Physics · Physics 2024-02-22 Agnes Beaudry , Michael Hermele , Juan Moreno , Markus Pflaum , Marvin Qi , Daniel Spiegel

A new algorithm for estimating the fraction of numbers that is present in a superpositional state which satisfies a given condition,is introduced.This algorithm is conceptually simple and does not require quantum Fourier transform.Also the…

Quantum Physics · Physics 2007-05-23 M. P John