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We develop a quantum algorithm to solve combinatorial optimization problems through quantum simulation of a classical annealing process. Our algorithm combines techniques from quantum walks, quantum phase estimation, and quantum Zeno…

Quantum Physics · Physics 2007-12-07 R. Somma , S. Boixo , H. Barnum

Quantum machine learning (QML) is a rapidly growing field that combines quantum computing principles with traditional machine learning. It seeks to revolutionize machine learning by harnessing the unique capabilities of quantum mechanics…

Quantum Physics · Physics 2024-11-15 Jun Qi , Chao-Han Yang , Samuel Yen-Chi Chen , Pin-Yu Chen

In this paper, we have proposed a deep quantum SVM formulation, and further demonstrated a quantum-clustering framework based on the quantum deep SVM formulation, deep convolutional neural networks, and quantum K-Means clustering. We have…

Machine Learning · Computer Science 2019-09-27 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

Momentum diffusion is a possible mechanism for driving macroscopic quantum systems towards classical behaviour. Experimental tests of this hypothesis rely on a precise estimation of the strength of this diffusion. We show that…

Quantum Physics · Physics 2020-11-22 Dominic Branford , Christos N. Gagatsos , Jai Grover , Alexander J. Hickey , Animesh Datta

We propose a simple structure for stationary non-Markovian quantum chains in the framework of collisional dynamics of open quantum systems. To this end, we modify the microscopic Markovian system--reservoir model, consider multiple…

Quantum Physics · Physics 2014-11-19 András Bodor , Lajos Diósi , Zsófia Kallus , Thomas Konrad

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space…

Quantum Physics · Physics 2007-05-23 J. Corbett , T. Durt

We propose a quantum version of a generative diffusion model. In this algorithm, artificial neural networks are replaced with parameterized quantum circuits, in order to directly generate quantum states. We present both a full quantum and a…

Quantum Physics · Physics 2023-11-28 Andrea Cacioppo , Lorenzo Colantonio , Simone Bordoni , Stefano Giagu

The Hidden Quantum Markov Model (HQMM) has significant potential for analyzing time-series data and studying stochastic processes in the quantum domain as an upgrading option with potential advantages over classical Markov models. In this…

Quantum Physics · Physics 2024-11-01 Xiao-Yu Li , Qin-Sheng Zhu , Yong Hu , Hao Wu , Guo-Wu Yang , Lian-Hui Yu , Geng Chen

A process model of quantum mechanics utilizes a combinatorial game to generate a discrete and finite causal space upon which can be defined a self-consistent quantum mechanics. An emergent space-time M and continuous wave function arise…

Mathematical Physics · Physics 2015-06-19 William Sulis

Quantum computing has recently emerged as a transformative technology. Yet, its promised advantages rely on efficiently translating quantum operations into viable physical realizations. In this work, we use generative machine learning…

Quantum Physics · Physics 2024-05-22 Florian Fürrutter , Gorka Muñoz-Gil , Hans J. Briegel

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first…

Quantum Physics · Physics 2020-06-02 J. Sperling , I. A. Walmsley

Time-series analysis and network analysis are now used extensively in diverse areas of science. In this paper, we applythese techniques to quantum dynamics in an optomechanical system: specifically, the long-time dynamics of the mean photon…

Quantum Physics · Physics 2020-10-28 Pradip Laha , S. Lakshmibala , V. Balakrishnan

Machine learning algorithms based on parametrized quantum circuits are prime candidates for near-term applications on noisy quantum computers. In this direction, various types of quantum machine learning models have been introduced and…

Machine Learning classification models learn the relation between input as features and output as a class in order to predict the class for the new given input. Quantum Mechanics (QM) has already shown its effectiveness in many fields and…

We define syntax and semantics of quantum circuits, allowing measurement gates and classical channels. We define circuit-based quantum algorithms and prove that, semantically, any such algorithm is equivalent to a single measurement that…

Quantum Physics · Physics 2021-07-20 Yuri Gurevich , Andreas Blass

In this note we point out the fact that the proper conceptual setting of quantum computation is the theory of Linear Time Invariant systems. To convince readers of the utility of the approach, we introduce a new model of computation based…

Quantum Physics · Physics 2007-05-23 H. Gopalkrishna Gadiyar , K. M. Sangeeta Maini , R. Padma , H. S. Sharatchandra

The possibility of simulating a stochastic process by the intrinsic randomness of quantum system is investigated. Two simulations of Markov Chains by the measurements of quantum systems are proposed.

Mathematical Physics · Physics 2009-09-28 X. F. Liu

We present an approach to simulating quantum computation based on a classical model that directly imitates discrete quantum systems. Qubits are represented as harmonic functions in a 2D vector space. Multiplication of qubit representations…

Quantum Physics · Physics 2009-06-30 Steven Peil

Generative modeling using samples drawn from the probability distribution constitutes a powerful approach for unsupervised machine learning. Quantum mechanical systems can produce probability distributions that exhibit quantum correlations…

Quantum Physics · Physics 2022-10-07 Xun Gao , Eric R. Anschuetz , Sheng-Tao Wang , J. Ignacio Cirac , Mikhail D. Lukin

Quantum algorithms offer the potential for significant computational advantages; however, in many cases, it remains unclear how these advantages can be practically realized. Causal Set Theory is a discrete, Lorentz-invariant approach to…

Quantum Physics · Physics 2025-06-25 Stuart Ferguson , Arad Nasiri , Petros Wallden