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Classical models of computation traditionally resort to halting schemes in order to enquire about the state of a computation. In such schemes, a computational process is responsible for signalling an end of a calculation by setting a halt…

量子物理 · 物理学 2015-02-10 Luís Tarrataca , Andreas Wichert

Quantum neural networks are deemed suitable to replace classical neural networks in their ability to learn and scale up network models using quantum-exclusive phenomena like superposition and entanglement. However, in the noisy intermediate…

计算机视觉与模式识别 · 计算机科学 2024-09-25 Dibyasree Guha , Shyamali Mitra , Somenath Kuiry , Nibaran Das

We apply numerical optimization and linear algebra algorithms for classical computers to the problem of automatically synthesizing algorithms for quantum computers. Using our framework, we apply several common techniques from these…

数值分析 · 数学 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

The goal of generative machine learning is to model the probability distribution underlying a given data set. This probability distribution helps to characterize the generation process of the data samples. While classical generative machine…

量子物理 · 物理学 2021-11-29 Christa Zoufal

We consider the efficiency of classically simulating measurement-based quantum computation on surface-code states. We devise a method for calculating the elements of the probability distribution for the classical output of the quantum…

量子物理 · 物理学 2012-11-01 Leonard Goff , Robert Raussendorf

Quantum computing exploits fundamentally new models of computation based on quantum mechanical properties instead of classical physics, and it is believed that quantum computers are able to dramatically improve computational power for…

In this paper, we investigate the classicality and quantumness of a quantum ensemble. We define a quantity called classicality to characterize how classical a quantum ensemble is. An ensemble of commuting states that can be manipulated…

量子物理 · 物理学 2015-05-20 Xuanmin Zhu , Shengshi Pang , Shengjun Wu , Quanhui Liu

In the paper is discussed complete probabilistic description of quantum systems with application to multiqubit quantum computations. In simplest case it is a set of probabilities of transitions to some fixed set of states. The probabilities…

量子物理 · 物理学 2007-05-23 Alexander Yu. Vlasov

Quantum state estimation, based on the numerical integration of stochastic master equations (SMEs), provides estimates for the evolution of quantum systems subject to continuous weak measurements. The approach is similar to classical state…

量子物理 · 物理学 2022-02-02 Jason F Ralph , Simon Maskell , Michael Ransom , Hendrik Ulbricht

The aim of this paper is to analyze the reconstructability of quantum mechanics from classical conditional probabilities representing measurement outcomes conditioned on measurement choices. We will investigate how the quantum mechanical…

量子物理 · 物理学 2019-06-13 Gábor Hofer-Szabó

Quantum computers offer the potential for efficiently sampling from complex probability distributions, attracting increasing interest in generative modeling within quantum machine learning. This surge in interest has driven the development…

量子物理 · 物理学 2025-11-19 Maria Demidik , Cenk Tüysüz , Nico Piatkowski , Michele Grossi , Karl Jansen

The classical dynamical system possessing a quantum spectrum of energy and "quantum" behavior is suggested and investigated. The proposed model can be considered as a dynamical variant of the old quantum theory for harmonic oscillator in…

量子物理 · 物理学 2011-05-27 Sergey A. Rashkovskiy

We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically…

无序系统与神经网络 · 物理学 2021-02-15 Ya. S. Lyakhova , E. A. Polyakov , A. N. Rubtsov

We analyze the quantum binary adder channel, i.e. the quantum generalization of the classical, and well-studied, binary adder channel: in this model qubits rather than classical bits are transmitted. This of course is as special case of the…

量子物理 · 物理学 2007-05-23 Gleb V. Klimovitch , Andreas Winter

Quantum machine learning has emerged as a promising application domain for near-term quantum hardware, particularly through hybrid quantum-classical models that leverage both classical and quantum processing. Although numerous hybrid…

量子物理 · 物理学 2026-01-09 Dominik Freinberger , Philipp Moser

A model of quantum noisy channel with input encoding by a classical random vector is described. An equation of optimality is derived to determine a complete set of wave functions describing quantum decodings based on quasi-measurements…

量子物理 · 物理学 2007-05-23 V. P. Belavkin , R. L. Stratonovich

A formalism is developed for describing approximate classical behaviour in finite (but possibly large) quantum systems. This is done in terms of a structure common to classical and quantum mechanics, viz. a Poisson space with a transition…

量子物理 · 物理学 2015-06-26 N. P. Landsman

This paper proposes a general quantum algorithm that can be applied to any classical computer program. Each computational step is written using reversible operators, but the operators remain classical in that the qubits take on values of…

量子物理 · 物理学 2007-05-23 Royal Skousen

Fine-tuning BERT for text classification can be computationally challenging and requires careful hyper-parameter tuning. Recent studies have highlighted the potential of quantum algorithms to outperform conventional methods in machine…

机器学习 · 计算机科学 2025-11-25 Abu Kaisar Mohammad Masum , Naveed Mahmud , M. Hassan Najafi , Sercan Aygun

The quantum search problem is an important problem due to the fact that a general NP problem can be solved efficiently by an unsorted quantum search algorithm. Here it has been shown that the quantum search problem could be solved in…

量子物理 · 物理学 2007-05-23 Xijia Miao