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This Ph.D. thesis provides a comprehensive review of the state-of-the-art in the field of Variational Quantum Algorithms and Quantum Machine Learning, including numerous original contributions. The first chapters are devoted to a brief…

Quantum Physics · Physics 2023-06-19 Stefano Mangini

Quantum kernels are reproducing kernel functions built using quantum-mechanical principles and are studied with the aim of outperforming their classical counterparts. The enthusiasm for quantum kernel machines has been tempered by recent…

Quantum Physics · Physics 2025-06-05 Hachem Kadri , Joachim Tomasi , Yuka Hashimoto , Sandrine Anthoine

A measuring apparatus is described by quantum mechanics while it interacts with the quantum system under observation, and then it must be given a classical description so that the result of the measurement appears as objective reality.…

Quantum Physics · Physics 2009-10-30 Ori Hay , Asher Peres

Quantum annealing is getting increasing attention in combinatorial optimization. The quantum processing unit by D-Wave is constructed to approximately solve Ising models on so-called Chimera graphs. Ising models are equivalent to quadratic…

Data Structures and Algorithms · Computer Science 2019-04-30 Michael Juenger , Elisabeth Lobe , Petra Mutzel , Gerhard Reinelt , Franz Rendl , Giovanni Rinaldi , Tobias Stollenwerk

We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We…

Quantum Physics · Physics 2013-11-01 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

The D-Wave adiabatic quantum annealer solves hard combinatorial optimization problems leveraging quantum physics. The newest version features over 1000 qubits and was released in August 2015. We were given access to such a machine,…

Databases · Computer Science 2015-10-23 Immanuel Trummer , Christoph Koch

Benchmarking quantum computers often deals with the parameters of single qubits or gates and sometimes deals with algorithms run on an entire chip or a noisy simulator of a chip. Here we propose the idea of using protocols to benchmark…

Quantum Physics · Physics 2025-05-27 Dekel Meirom , Tal Mor , Yossi Weinstein

Much attention has been drawn to quantum computing and the exponential speed-up in computation the technology would be able to provide. Various claims have been made about what aspect of quantum mechanics causes this speed-up. Formulations…

Quantum Physics · Physics 2010-12-23 Philipp Roser

Quantum simulation is of great importance in quantum information science. Here, we report an experimental quantum channel simulator imbued with an algorithm for imitating the behavior of a general class of quantum systems. The reported…

Superconducting quantum circuit is a promising system for building quantum computer. With this system we demonstrate the universal quantum computations, including the preparing of initial states, the single-qubit operations, the two-qubit…

Quantum Physics · Physics 2018-09-06 Nian-Quan Jiang , Yao Chen , Chuanbing Cai , Ming-FengWang , Junwang Tang

A quantum computer directly manipulates information stored in the state of quantum mechanical systems. The available operations have many attractive features but also underly severe restrictions, which complicate the design of quantum…

Quantum Physics · Physics 2015-06-26 Sos S. Agaian , Andreas Klappenecker

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…

Quantum Physics · Physics 2024-11-26 Hyunju Lee , Kyungtaek Jun

Quantum annealing is a type of analog computation that aims to use quantum mechanical fluctuations in search of optimal solutions of QUBO (quadratic unconstrained binary optimization) or, equivalently, Ising problems. Since NP-hard problems…

Quantum Physics · Physics 2023-04-14 Elijah Pelofske , Georg Hahn , Hristo N. Djidjev

It is becoming increasingly clear that, if a useful device for quantum computation will ever be built, it will be embodied by a classical computing machine with control over a truly quantum subsystem, this apparatus performing a mixture of…

Programming Languages · Computer Science 2009-11-07 S. Bettelli , L. Serafini , T. Calarco

Quantum computers, if fully realized, promise to be a revolutionary technology. As a result, quantum computing has become one of the hottest areas of research in the last few years. Much effort is being applied at all levels of the system…

Quantum Physics · Physics 2019-10-30 Salonik Resch , Ulya R. Karpuzcu

Some issues concerning the question if the two-dimensional Hubbard model really show d-wave superconductivity are briefly discussed.

Strongly Correlated Electrons · Physics 2009-11-07 Gang Su

What is the quantum system? Consider the wavefunction of the electron, what we call single particle wave-function and assume that it contains N wave packets. If we pass all the wave packets through an electric field, all are deflected, as…

Quantum Physics · Physics 2021-07-14 Sofia Wechsler

A quantum computer has now solved a specialized problem believed to be intractable for supercomputers, suggesting that quantum processors may soon outperform supercomputers on scientifically important problems. But flaws in each quantum…

Quantum Physics · Physics 2022-01-21 Timothy Proctor , Kenneth Rudinger , Kevin Young , Erik Nielsen , Robin Blume-Kohout

Over the last two decades, tremendous advances have been made for constructing large-scale quantum computers. In particular, the quantum processor architecture based on superconducting qubits has become the leading candidate for scalable…

Quantum Physics · Physics 2023-03-07 He-Liang Huang , Dachao Wu , Daojin Fan , Xiaobo Zhu

The last two decades have seen an explosive growth in the theory and practice of both quantum computing and machine learning. Modern machine learning systems process huge volumes of data and demand massive computational power. As silicon…

Quantum Physics · Physics 2020-06-23 Viraj Kulkarni , Milind Kulkarni , Aniruddha Pant
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