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We introduce a low-overhead technique for quantum error mitigation based on post-selection using auxiliary qubit measurements. The method exploits the structural property that, in an error-free computation, auxiliary qubits are often…

量子物理 · 物理学 2026-05-28 Gilad Kishony , Avi Elazari , Ron Cohen , Lior Gazit

In the era of quantum computing, the emergence of quantum computers and subsequent advancements have led to the development of various quantum algorithms capable of solving linear equations and eigenvalues, surpassing the pace of classical…

量子物理 · 物理学 2024-11-26 Hyunju Lee , Kyungtaek Jun

Quantum algorithms offer a compelling new avenue for addressing difficult NP-complete optimization problems, such as the Generalized Assignment Problem (GAP). Given the operational constraints of contemporary Noisy Intermediate-Scale…

量子物理 · 物理学 2025-11-05 Carlo Mastroianni , Francesco Plastina , Jacopo Settino , Andrea Vinci

We present BayesQ, an uncertainty-guided post-training quantization framework that is the first to optimize quantization under the posterior expected loss. BayesQ fits a lightweight Gaussian posterior over weights (diagonal Laplace by…

机器学习 · 计算机科学 2025-11-13 Ismail Lamaakal , Chaymae Yahyati , Yassine Maleh , Khalid El Makkaoui , Ibrahim Ouahbi

Approximate Bayesian computation (ABC) or likelihood-free inference algorithms are used to find approximations to posterior distributions without making explicit use of the likelihood function, depending instead on simulation of sample data…

统计计算 · 统计学 2015-09-08 Richard D. Wilkinson

Quantum mechanics has greatly impacted our understanding of the microscopic nature. One of the key concepts of this theory is generalized measurements, which have proven useful in various quantum information processing tasks. However,…

量子物理 · 物理学 2025-10-07 Piotr Mironowicz , Marcus Grünfeld , Mohamed Bourennane

Quantum machine learning is a promising field for efficiently learning features of a dataset to perform a specified task, such as classification. Interval bound propagation (IBP) is a popular certified training method in classical machine…

量子物理 · 物理学 2026-05-04 Emma Andrews , Nahyeon Kim , Prabhat Mishra

The rapid advancement of quantum hardware necessitates the development of reliable methods to certify its correct functioning. However, existing certification tests fall short, as they either suffer from systematic errors or do not…

量子物理 · 物理学 2025-08-13 Jan Nöller , Nikolai Miklin , Martin Kliesch , Mariami Gachechiladze

The Blahut-Arimoto algorithm is a well-known method to compute classical channel capacities and rate-distortion functions. Recent works have extended this algorithm to compute various quantum analogs of these quantities. In this paper, we…

信息论 · 计算机科学 2024-06-10 Kerry He , James Saunderson , Hamza Fawzi

Iterative minimization algorithms appear in various areas including machine learning, neural networks, and information theory.The em algorithm is one of the famous iterative minimization algorithms in the area of machine learning, and the…

信息论 · 计算机科学 2024-09-10 Masahito Hayashi

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

系统与控制 · 电气工程与系统科学 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

We propose a simple approach that provides accurate uncertainty quantification for Bayesian inference in misspecified or approximate models, and for generalized (Gibbs) posteriors. While existing solutions in this context are based on…

统计方法学 · 统计学 2026-03-11 David T. Frazier , Christopher Drovandi , Robert Kohn

Control policies from imitation learning can often fail to generalize to novel environments due to imperfect demonstrations or the inability of imitation learning algorithms to accurately infer the expert's policies. In this paper, we…

机器人学 · 计算机科学 2020-12-04 Allen Z. Ren , Sushant Veer , Anirudha Majumdar

We present Active Learning for Accelerated Bayesian Inference (\texttt{alabi}): an open-source Python package for performing Bayesian inference with computationally expensive models. Given a forward model and observational data to construct…

天体物理仪器与方法 · 物理学 2026-03-20 Jessica Birky , Rory K. Barnes

Recently a framework for assisted quantum error correction was proposed in which a specific type of error is allowed to occur on auxiliary qubits, which is in contrast to standard entanglement assistance that requires noiseless auxiliary…

量子物理 · 物理学 2014-07-31 Yuichiro Fujiwara

Quantization-aware training (QAT) is a common paradigm for network quantization, in which the training phase incorporates the simulation of the low-precision computation to optimize the quantization parameters in alignment with the task…

机器学习 · 计算机科学 2024-12-23 Chengting Yu , Shu Yang , Fengzhao Zhang , Hanzhi Ma , Aili Wang , Er-Ping Li

We consider the problem of certification of arbitrary ensembles of pure states and projective measurements solely from the experimental statistics in the prepare-and-measure scenario assuming the upper bound on the dimension of the Hilbert…

量子物理 · 物理学 2021-04-07 Nikolai Miklin , Michał Oszmaniec

The aim of this paper is to develop novel quantum algorithms for Gaussian process quadrature methods. Gaussian process quadratures are numerical integration methods where Gaussian processes are used as functional priors for the integrands…

统计计算 · 统计学 2025-02-21 Cristian A. Galvis-Florez , Ahmad Farooq , Simo Särkkä

The use of Boolean Satisfiability (SAT) solver for hardware verification incurs exponential run-time in several instances. In this work we have proposed an efficient quantum SAT (qSAT) solver for equivalence checking of Boolean circuits…

Adaptive Bayesian quadrature (ABQ) is a powerful approach to numerical integration that empirically compares favorably with Monte Carlo integration on problems of medium dimensionality (where non-adaptive quadrature is not competitive). Its…

机器学习 · 统计学 2019-10-29 Motonobu Kanagawa , Philipp Hennig