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We review here the recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations. The concept is introduced in successive steps through the studies of mapping of…

Quantum Physics · Physics 2010-09-21 Arnab Das , Bikas K. Chakrabarti

The standard inflationary version of the origin of the cosmic structure as the result of the quantum fluctuations during the early universe is less than fully satisfactory as has been argued in [A. Perez, H. Sahlmann, and D. Sudarsky,…

General Relativity and Quantum Cosmology · Physics 2012-05-30 Adolfo De Unánue , Daniel Sudarsky

Quantum computing comes with the potential to push computational boundaries in various domains including, e.g., cryptography, simulation, optimization, and machine learning. Exploiting the principles of quantum mechanics, new algorithms can…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Julian Berberich , Robert L. Kosut , Thomas Schulte-Herbrüggen

The 'collapse' of the wave function in a general measuring process is analyzed by a pure quantum mechanical (QM) approach. The problem of the delayed choice and Welcher-Weg (WW) experiments is analyzed for Mach-Zehnder (MZ) interferometer.…

Quantum Physics · Physics 2012-01-27 Y. Ben-Aryeh

In this letter, we have considered an electron in a coupled quantum dot system interacting with a detector represented by a point contact. We present a dynamical model for wave function collapse in the strong coupling to the detector limit.…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 H. Cruz

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

We show that the Variational Quantum-Classical Simulation algorithm admits a finite circuit depth scaling collapse when targeting the critical point of the transverse field Ising chain. The order parameter only collapses on one side of the…

Quantum Physics · Physics 2022-01-05 Henrik Dreyer , Mircea Bejan , Etienne Granet

Quantum computing is gaining attention as a new approach for solving complex problems in many scientific fields. In atmospheric and oceanic sciences, it may help reduce computational costs of simulating large and nonlinear systems. However,…

Quantum Physics · Physics 2026-03-09 Kazumasa Ueno , Hiroaki Miura

The possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory,…

Kernel methods are used extensively in classical machine learning, especially in the field of pattern analysis. In this paper, we propose a kernel-based quantum machine learning algorithm that can be implemented on a near-term, intermediate…

Quantum Physics · Physics 2019-06-11 Roohollah Ghobadi , Jaspreet S. Oberoi , Ehsan Zahedinejhad

Quantum circuit Born machines are generative models which represent the probability distribution of classical dataset as quantum pure states. Computational complexity considerations of the quantum sampling problem suggest that the quantum…

Quantum Physics · Physics 2018-12-21 Jin-Guo Liu , Lei Wang

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…

Quantum Physics · Physics 2007-05-23 Royal Skousen

A reasonable explanation of the confounding wave-particle duality of matter is presented in terms of the reality of the wave nature of a particle. In this view a quantum particle is an objectively real wave packet consisting of irregular…

General Physics · Physics 2019-04-11 Mani Bhaumik

Generative models realized with machine learning techniques are powerful tools to infer complex and unknown data distributions from a finite number of training samples in order to produce new synthetic data. Diffusion models are an emerging…

Quantum Physics · Physics 2024-07-18 Marco Parigi , Stefano Martina , Filippo Caruso

The change with time of the system consisting of the quantum object and the macroscopic measuring instrument is described on the base of the uniform dynamic law, which is suitable both evolution and reduction processes description. It is…

Quantum Physics · Physics 2015-05-12 A. Yu. Samarin

Near-term large quantum computers are not able to operate as a single processing unit. It is therefore required to partition a quantum circuit into smaller parts, and then each part is executed on a small unit. This approach is known as…

A viable approach for building large-scale quantum computers is to interlink small-scale quantum computers with a quantum network to create a larger distributed quantum computer. When designing quantum algorithms for such a distributed…

Quantum Physics · Physics 2022-04-08 Rhea Parekh , Andrea Ricciardi , Ahmed Darwish , Stephen DiAdamo

Genuine random numbers can be produced beyond a shadow of doubt through the intrinsic randomness provided by quantum mechanics theory. While many degrees of freedom have been investigated for randomness generation, not adequate attention…

The architecture of circuital quantum computers requires computing layers devoted to compiling high-level quantum algorithms into lower-level circuits of quantum gates. The general problem of quantum compiling is to approximate any unitary…

Quantum Physics · Physics 2021-09-21 Lorenzo Moro , Matteo G. A. Paris , Marcello Restelli , Enrico Prati

Quantum process tomography is a necessary tool for verifying quantum gates and diagnosing faults in architectures and gate design. We show that the standard approach of process tomography is grossly inaccurate in the case where the states…

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