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The bootstrap is a foundational tool in statistical inference, but its classical implementation relies on Monte Carlo resampling, introducing approximation error and incurring high computational cost -- especially for large datasets and…

统计计算 · 统计学 2026-04-02 Yongkai Chen , Ping Ma , Wenxuan Zhong

An ability to describe quantum states directly by average values of measurement outcomes is provided by the Bloch vector. For an informationally complete set of measurements one can construct unique Bloch vector for any quantum state.…

量子物理 · 物理学 2013-03-21 Pawel Kurzynski

Quantum annealing is a promising paradigm for building practical quantum computers. Compared to other approaches, quantum annealing technology has been scaled up to a larger number of qubits. On the other hand, deep learning has been…

量子物理 · 物理学 2021-07-07 Michele Sasdelli , Tat-Jun Chin

We propose a modular quantum computation architecture based on utilizing multipartite entanglement. Each module consists of a small-scale quantum computer comprising data, memory and entangling qubits. Entangling qubits are used to…

量子物理 · 物理学 2024-12-16 Ferran Riera-Sàbat , Wolfgang Dür

A formal description of a quantum abacus based encoding system is presented. This way of representing data for processing purposes is based on a quantum algorithm for counting qubits introduced by Lesovik et al. \cite{LesovikEtal2010} and…

量子物理 · 物理学 2016-06-09 J. V. Álvarez-Bravo , J. J. Álvarez-Sánchez , Ignacio Aparicio Morgado

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

量子物理 · 物理学 2009-10-30 Tad Hogg

Facing the worldwide steady progress in building quantum computers, it is crucial for cryptographic community to design quantum-safe cryptographic primitives. To achieve this, we need to investigate the capability of cryptographic analysis…

量子物理 · 物理学 2024-07-23 Huiqin Xie , Li Yang

Quantum compilation is the process of decomposing high-level quantum algorithms or arbitrary unitary operations into quantum circuits composed of a specific set of quantum gates. Neutral atom quantum computing platform is a quantum…

量子物理 · 物理学 2025-01-10 Chongyuan Xu

The physics of quantum walks on graphs is formulated in Hamiltonian language, both for simple quantum walks and for composite walks, where extra discrete degrees of freedom live at each node of the graph. It is shown how to map between…

量子物理 · 物理学 2009-11-13 Andrew P. Hines , P. C. E. Stamp

Quantum algorithms are built enabling to find Poincar\'e recurrence times and periodic orbits of classical dynamical systems. It is shown that exponential gain compared to classical algorithms can be reached for a restricted class of…

量子物理 · 物理学 2007-05-23 B. Georgeot

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

We address the problems of constructing quantum convolutional codes (QCCs) and of encoding them. The first construction is a CSS-type construction which allows us to find QCCs of rate 2/4. The second construction yields a quantum…

量子物理 · 物理学 2009-05-24 Markus Grassl , Martin Roetteler

The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields by use of the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This…

量子物理 · 物理学 2007-05-23 N. J. Cerf , S. E. Koonin

Lectures on quantum computing. Contents: Algorithms. Quantum circuits. Quantum Fourier transform. Elements of number theory. Modular exponentiation. Shor`s algorithm for finding the order. Computational complexity of Schor`s algorithm.…

量子物理 · 物理学 2007-05-23 Igor V. Volovich

By combining telecloning and programmable quantum gate array presented by Nielsen and Chuang [Phys.Rev.Lett. 79 :321(1997)], we propose a programmable quantum processor which can be programmed to implement restricted set of operations with…

量子物理 · 物理学 2009-11-07 Yafei Yu , Jian Feng , Mingsheng Zhan

A scheme of universal quantum computation on a chain of qubits is described that does not require local control. All the required operations, an Ising-type interaction and spatially uniform simultaneous one-qubit gates, are…

量子物理 · 物理学 2009-11-11 Robert Raussendorf

Quantum computing and quantum Monte Carlo (QMC) are respectively the state-of-the-art quantum and classical computing methods for understanding many-body quantum systems. Here, we propose a hybrid quantum-classical algorithm that integrates…

量子物理 · 物理学 2025-11-17 Yukun Zhang , Yifei Huang , Jinzhao Sun , Dingshun Lv , Xiao Yuan

Any unitary transformation of quantum computational networks is explicitly decomposed, in an exact and unified form, into a sequence of a limited number of one-qubit quantum gates and the two-qubit diagonal gates that have diagonal unitary…

量子物理 · 物理学 2007-05-23 Xijia Miao

Quantum Bayesian Computation (QBC) is an emerging field that levers the computational gains available from quantum computers to provide an exponential speed-up in Bayesian computation. Our paper adds to the literature in two ways. First, we…

机器学习 · 统计学 2023-03-07 Nick Polson , Vadim Sokolov , Jianeng Xu

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

量子物理 · 物理学 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons