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This paper presents a minimal formulation of nonrelativistic quantum mechanics, by which is meant a formulation which describes the theory in a succinct, self-contained, clear, unambiguous and of course correct manner. The bulk of the…

物理学史与哲学 · 物理学 2018-04-04 R. Friedberg , P. C. Hohenberg

Quantum machine learning is one of the most promising applications of a full-scale quantum computer. Over the past few years, many quantum machine learning algorithms have been proposed that can potentially offer considerable speedups over…

量子物理 · 物理学 2021-06-14 Iordanis Kerenidis , Jonas Landman , Alessandro Luongo , Anupam Prakash

Quantum annealing is a promising method for solving combinational optimization problems and performing quantum chemical calculations. The main sources of errors in quantum annealing are the effects of decoherence and non-adiabatic…

量子物理 · 物理学 2022-11-23 Takashi Imoto , Yuya Seki , Yuichiro Matsuzaki and , Shiro Kawabata

The paper reviews and discusses four ideas scattered in previous papers of the author. First, objective properties of quantum systems are not associated with observables but are defined by preparations. Second, measurable results of…

量子物理 · 物理学 2016-07-29 Petr Hajicek

We describe an algorithm for using a quantum computer to calculate mean values of observables and the partition function of a quantum system. Our algorithm includes two sub-algorithms. The first sub-algorithm is for calculating, with…

量子物理 · 物理学 2010-11-10 Robert R. Tucci

Given the Hamiltonian, the evaluation of unitary operators has been at the heart of many quantum algorithms. Motivated by existing deterministic and random methods, we present a hybrid approach, where Hamiltonians with large amplitude are…

量子物理 · 物理学 2021-09-17 Shi Jin , Xiantao Li

Quantum measurement is universal for quantum computation. This universality allows alternative schemes to the traditional three-step organisation of quantum computation: initial state preparation, unitary transformation, measurement. In…

量子物理 · 物理学 2007-05-23 Simon Perdrix , Philippe Jorrand

Quantum coherence is the most fundamental feature of quantum mechanics. The usual understanding of it depends on the choice of the basis, that is, the coherence of the same quantum state is different within different reference framework. To…

量子物理 · 物理学 2017-04-17 Chang-shui Yu , Yi-ren Yang , Bao-qing Guo

We propose and investigate a new method of quantum process tomography (QPT) which we call projected least squares (PLS). In short, PLS consists of first computing the least-squares estimator of the Choi matrix of an unknown channel, and…

量子物理 · 物理学 2022-11-02 Trystan Surawy-Stepney , Jonas Kahn , Richard Kueng , Madalin Guta

We show that quantum theory (QT) is a substructure of classical probabilistic physics. The central quantity of the classical theory is Hamilton's function, which determines canonical equations, a corresponding flow, and a Liouville equation…

量子物理 · 物理学 2020-04-06 Ulf Klein

The aim of the present paper is twofold. First, to give the main ideas behind quantum computingand quantum information, a field based on quantum-mechanical phenomena. Therefore, a shortreview is devoted to (i) quantum bits or qubits (and…

量子物理 · 物理学 2018-11-22 Maurice Robert Kibler

Starting from a new principle inspired by quantum tomography rather than from Born's rule, this paper gives a self-contained deductive approach to quantum mechanics and quantum measurement. A suggestive notion for what constitutes a quantum…

量子物理 · 物理学 2024-05-22 Arnold Neumaier

Quantum state estimation for continuously monitored dynamical systems involves assigning a quantum state to an individual system at some time, conditioned on the results of continuous observations. The quality of the estimation depends on…

量子物理 · 物理学 2022-05-26 Areeya Chantasri , Ivonne Guevara , Kiarn T. Laverick , Howard M. Wiseman

The quantum guesswork quantifies the minimum number of queries needed to guess the state of a quantum ensemble if one is allowed to query only one state at a time. Previous approaches to the computation of the guesswork were based on…

量子物理 · 物理学 2023-08-28 Michele Dall'Arno , Francesco Buscemi , Takeshi Koshiba

Distributed quantum computing offers a promising approach to scaling quantum devices by networking multiple quantum processors. We present a quantum state tomography protocol tailored for distributed quantum computers that avoids assuming…

量子物理 · 物理学 2026-04-27 Hans Mättig-Vásquez , Aldo Delgado , Luciano Pereira

Quantum state smoothing is a technique to construct an estimate of the quantum state at a particular time, conditioned on a measurement record from both before and after that time. The technique assumes that an observer, Alice, monitors…

量子物理 · 物理学 2025-09-04 Kiarn T. Laverick , Areeya Chantasri , Howard M. Wiseman

Quantum Computing is a new and exciting field at the intersection of mathematics, computer science and physics. It concerns a utilization of quantum mechanics to improve the efficiency of computation. Here we present a gentle introduction…

量子物理 · 物理学 2007-08-03 Noson S. Yanofsky

This paper gives a survey about quantum estimation. We also describes the relation between the quantum central limit theorem and the asymptotic bound of mean square error in quantum state estimation.

量子物理 · 物理学 2009-11-18 Masahito Hayashi

Quantum technology is seeing a remarkable explosion in interest due to a wave of successful commercial technology. As a wider array of engineers and scientists are needed, it is time we rethink quantum educational paradigms. Current…

科普物理 · 物理学 2020-03-23 James Daniel Whitfield

We present a general probabilistic perspective on Gaussian filtering and smoothing. This allows us to show that common approaches to Gaussian filtering/smoothing can be distinguished solely by their methods of computing/approximating the…

统计方法学 · 统计学 2011-06-09 Marc Peter Deisenroth , Henrik Ohlsson