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Multivariate analysis-of-variance (MANOVA) is a well established tool to examine multivariate endpoints. While classical approaches depend on restrictive assumptions like normality and homogeneity, there is a recent trend to more general…

Statistics Theory · Mathematics 2022-11-29 Marléne Baumeister , Marc Ditzhaus , Markus Pauly

Quantum computing provides a powerful framework for tackling computational problems that are classically intractable. The goal of this paper is to explore the use of quantum computers for solving relevant problems in systems and control…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Jan Schneider , Julian Berberich

We introduce a framework for simulating quantum optics by decomposing the system into a finite rank (number of terms) superposition of coherent states. This allows us to define a resource theory, where linear optical operations are 'free'…

Quantum Physics · Physics 2023-12-19 Jeffrey Marshall , Namit Anand

A fully optical method to perform any quantum computation with optical waveguide modes is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum…

Quantum Physics · Physics 2009-11-07 Jian Fu

We present a scheme which offers a significant reduction in the resources required to implement linear optics quantum computing. The scheme is a variation of the proposal of Knill, Laflamme, and Milburn, and makes use of an incremental…

Quantum Physics · Physics 2009-11-10 A. J. F. Hayes , A. Gilchrist , C. R. Myers , T. C. Ralph

Quantum computing is gaining increased attention as a potential way to speed up simulations of physical systems, and it is also of interest to apply it to simulations of classical plasmas. However, quantum information science is…

Plasma Physics · Physics 2024-06-19 I. Y. Dodin , E. A. Startsev

This tutorial paper introduces quantum approaches to Monte Carlo computation with applications in computational finance. We outline the basics of quantum computing using Grover's algorithm for unstructured search to build intuition. We then…

Quantum Physics · Physics 2025-09-24 Jose Blanchet , Mark S. Squillante , Mario Szegedy , Guanyang Wang

A recently introduced numerical approach to quantum systems is analyzed. The basis of a Fock space is restricted and represented in an algebraic program. Convergence with increasing size of basis is proved and the difference between…

High Energy Physics - Theory · Physics 2007-05-23 Maciej Trzetrzelewski

Photonic systems offer a promising platform for interconnecting quantum processors and enabling scalable, networked architectures. Designing and verifying such architectures requires a unified formalism that integrates linear algebraic…

Photonic quantum technologies represent a promising platform for several applications, ranging from long-distance communications to the simulation of complex phenomena. Indeed, the advantages offered by single photons do make them the…

Quantum Physics · Physics 2018-12-05 Fulvio Flamini , Nicolò Spagnolo , Fabio Sciarrino

Physically motivated quantum algorithms for specific near-term quantum hardware will likely be the next frontier in quantum information science. Here, we show how many of the features of neural networks for machine learning can naturally be…

Quantum Physics · Physics 2018-09-21 Gregory R. Steinbrecher , Jonathan P. Olson , Dirk Englund , Jacques Carolan

We introduce the Piquasso quantum programming framework, a full-stack open-source software platform for the simulation and programming of photonic quantum computers. Piquasso can be programmed via a high-level Python programming interface…

Quantum computation offers exciting new possibilities for statistics. This paper explores the use of the D-Wave machine, a specialized type of quantum computer, which performs quantum annealing. A general description of quantum annealing…

Computation · Statistics 2019-11-21 Robert C. Foster , Brian Weaver , James Gattiker

This is a user guide for the first version of our developed Maple library, named Singularity. The first version here is designed for the qualitative study of local real zeros of scalar smooth maps. This library will be extended for symbolic…

Dynamical Systems · Mathematics 2018-03-13 Majid Gazor , Mahsa Kazemi

The manipulation of distinct degrees of freedom of photons plays a critical role in both classical and quantum information processing. While the principles of wave optics provide elegant and scalable control over classical light in spatial…

MQuantum algorithms of matrix operations are of great significance in many fields in science and technology. In this paper, by leveraging multi-qubit Toffoli gates and basic single-qubit operations, the quantum algorithms of matrix…

Quantum Physics · Physics 2025-08-26 Yu-Hang Liu , Yuan-Hong Tao , jing-Run Lan , Shao-Ming Fei

We study a novel optical setup which is able to select a specific Fock component from a generic input state. The device allows to synthesize number states and superpositions of few number states, and to measure the photon distribution and…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , L. Maccone , M. G. A. Paris , M. F. Sacchi

We introduce novel schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in [Phys. Rev. Lett. 98, 220503 (2007), quant-ph/0609149]. Our method makes use of…

Quantum Physics · Physics 2009-11-13 D. Gross , J. Eisert , N. Schuch , D. Perez-Garcia

We present QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

Quantum Physics · Physics 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

This paper presents a MATLAB toolbox for computing the conformal mapping from a given polygonal multiply connected domain onto a circular multiply connected domain and its inverse. The toolbox can be used for multiply connected domains with…

Complex Variables · Mathematics 2020-02-19 Mohamed M. S. Nasser
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