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We investigate the optimization of two probabilistic generative models with binary latent variables using a novel variational EM approach. The approach distinguishes itself from previous variational approaches by using latent states as…

机器学习 · 统计学 2018-02-26 Jörg Lücke , Zhenwen Dai , Georgios Exarchakis

This paper introduces a new quantum computing framework integrated with a two-step compressed sensing technique, applied to a joint channel estimation and user identification problem. We propose a variational quantum circuit (VQC) design as…

信号处理 · 电气工程与系统科学 2022-05-19 Bryan Liu , Toshiaki Koike-Akino , Ye Wang , Kieran Parsons

In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this issue in the field of robust machine learning the aim is to…

机器学习 · 计算机科学 2022-03-04 Jannis Kurtz

(Abridged.) Quantum computers promise to solve some problems exponentially faster than traditional computers, but we still do not fully understand why this is the case. While the most studied model of quantum computation uses qubits, which…

量子物理 · 物理学 2025-05-29 Cameron Calcluth

A central task in the field of quantum computing is to find applications where quantum computer could provide exponential speedup over any classical computer. Machine learning represents an important field with broad applications where…

量子物理 · 物理学 2017-11-07 Xun Gao , Zhengyu Zhang , Luming Duan

Quantum computation is based on implementing selected unitary transformations which represent algorithms. A generalized optimal control theory is used to find the driving field that generates a prespecified unitary transformation. The…

量子物理 · 物理学 2009-11-07 Jose P. Palao , Ronnie Kosloff

Variational quantum algorithms are a promising class of algorithms that can be performed on currently available quantum computers. In most settings, the free parameters of a variational circuit are optimized using a classical optimizer that…

量子物理 · 物理学 2023-07-12 Roeland Wiersema , Nathan Killoran

We explore the preparation of specific nuclear states on gate-based quantum hardware using variational algorithms. Large scale classical diagonalization of the nuclear shell model have reached sizes of $10^9 - 10^{10}$ basis states, but are…

核理论 · 物理学 2022-07-11 I. Stetcu , A. Baroni , J. Carlson

Bayesian Neural Networks (BNNs) have been proposed to address the problem of model uncertainty in training and inference. By introducing weights associated with conditioned probability distributions, BNNs are capable of resolving the…

机器学习 · 计算机科学 2018-02-06 Ruizhe Cai , Ao Ren , Ning Liu , Caiwen Ding , Luhao Wang , Xuehai Qian , Massoud Pedram , Yanzhi Wang

Kernel-free quadratic surface support vector machines (QSVM) have recently gained traction due to their flexibility in modeling nonlinear decision boundaries without relying on kernel functions. However, the introduction of a full quadratic…

机器学习 · 计算机科学 2026-03-09 Ahmad Mousavi , Ramin Zandvakili , Zheming Gao

Gaussian process regression is a well-established Bayesian machine learning method. We propose a new approach to Gaussian process regression using quantum kernels based on parameterized quantum circuits. By employing a hardware-efficient…

量子物理 · 物理学 2024-02-06 Frederic Rapp , Marco Roth

Variational quantum algorithms that are used for quantum machine learning rely on the ability to automatically differentiate parametrized quantum circuits with respect to underlying parameters. Here, we propose the rules for differentiating…

量子物理 · 物理学 2021-11-16 Oleksandr Kyriienko , Vincent E. Elfving

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

最优化与控制 · 数学 2025-07-15 Francesca Maggioni , Andrea Spinelli

Quantum states of a few-particle system capacitively coupled to a metal gate can be discriminated by measuring the quantum capacitance, which can be identified with the second derivative of the system energy with respect to the gate…

介观与纳米尺度物理 · 物理学 2023-04-12 Andrea Secchi , Filippo Troiani

In this article we provide a method for fully quantum generative training of quantum Boltzmann machines with both visible and hidden units while using quantum relative entropy as an objective. This is significant because prior methods were…

量子物理 · 物理学 2019-05-27 Nathan Wiebe , Leonard Wossnig

In this paper, we have discussed a quantum approach for the all-pair multiclass classification problem. We have shown that the multiclass support vector machine for big data classification with a quantum all-pair approach can be implemented…

机器学习 · 计算机科学 2018-11-13 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

In a recent work we presented a recursive algorithm to compute the matrix elements of a generic Gaussian transformation in the photon-number basis. Its purpose was to evolve a quantum state by building the transformation matrix and…

量子物理 · 物理学 2021-02-12 Yuan Yao , Filippo M. Miatto

Previously proposed quantum algorithms for solving linear systems of equations cannot be implemented in the near term due to the required circuit depth. Here, we propose a hybrid quantum-classical algorithm, called Variational Quantum…

量子物理 · 物理学 2023-11-23 Carlos Bravo-Prieto , Ryan LaRose , M. Cerezo , Yigit Subasi , Lukasz Cincio , Patrick J. Coles

We propose a variational approach for preparing entangled quantum states on quantum computers. The methodology involves training a unitary operation to match with a target unitary using the Fubini-Study distance as a cost function. We…

量子物理 · 物理学 2023-07-03 Vu Tuan Hai , Nguyen Tan Viet , Le Bin Ho

Variational Quantum Algorithms have emerged as a leading paradigm for near-term quantum computation. In such algorithms, a parameterized quantum circuit is controlled via a classical optimization method that seeks to minimize a…

量子物理 · 物理学 2021-10-19 Javier Rivera-Dean , Patrick Huembeli , Antonio Acín , Joseph Bowles