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Akademický článek
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The concept of quantum acceleration limit has been recently introduced for any unitary time evolution of quantum systems under arbitrary nonstationary Hamiltonians. While Alsing and Cafaro [Int. J. Geom. Methods Mod. Phys. 21, 2440009 (2024)] used th
Externí odkaz:
http://arxiv.org/abs/2410.11030
Autor:
Benali, Ahmed Ala Eddine, Cafaro, Massimo, Epicoco, Italo, Pulimeno, Marco, Schioppa, Enrico Junior
Precise energy load forecasting in residential households is crucial for mitigating carbon emissions and enhancing energy efficiency; indeed, accurate forecasting enables utility companies and policymakers, who advocate sustainable energy practices,
Externí odkaz:
http://arxiv.org/abs/2410.16881
Publikováno v:
Mathematics 12, 3275 (2024)
Influence network of events is a view of the universe based on events that may be related to one another via influence. The network of events form a partially-ordered set which, when quantified consistently via a technique called chain projection, re
Externí odkaz:
http://arxiv.org/abs/2409.10843
We study the complexity of both time-optimal and time sub-optimal quantum Hamiltonian evolutions connecting arbitrary source and a target states on the Bloch sphere equipped with the Fubini-Study metric. This investigation is performed in a number of
Externí odkaz:
http://arxiv.org/abs/2408.14241
In the geometry of quantum-mechanical processes, the time-varying curvature coefficient of a quantum evolution is specified by the magnitude squared of the covariant derivative of the tangent vector to the state vector. In particular, the curvature c
Externí odkaz:
http://arxiv.org/abs/2408.14233
In optimal quantum-mechanical evolutions, motion can occur along non-predetermined paths of shortest length in an optimal time. Alternatively, optimal evolutions can happen along predefined paths with no waste of energy resources and 100% speed effic
Externí odkaz:
http://arxiv.org/abs/2408.14230
Publikováno v:
Symmetry 16, 734 (2024)
Alternative mathematical explorations in quantum computing can be of great scientific interest, especially if they come with penetrating physical insights. In this paper, we present a critical revisitation of our geometric (Clifford) algebras (GAs) a
Externí odkaz:
http://arxiv.org/abs/2405.08152
Autor:
Cafaro, Alexandre, Leroy, Amaury, Beldjoudi, Guillaume, Maury, Pauline, Robert, Charlotte, Deutsch, Eric, Grégoire, Vincent, Lepetit, Vincent, Paragios, Nikos
We introduce a novel unsupervised approach to reconstructing a 3D volume from only two planar projections that exploits a previous\-ly-captured 3D volume of the patient. Such volume is readily available in many important medical procedures and previo
Externí odkaz:
http://arxiv.org/abs/2405.11977
Publikováno v:
Physica Scripta 99, 095121 (2024)
We present a comparative analysis of two different constructions of optimal-speed quantum Hamiltonian evolutions on the Bloch sphere. In the first approach (Mostafazadeh's approach), the evolution is specified by a traceless stationary Hermitian Hami
Externí odkaz:
http://arxiv.org/abs/2405.08144