Zobrazeno 1 - 10
of 309
pro vyhledávání: '"Cafaro, Carlo"'
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
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
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
Publikováno v:
Int. J. Theor. Phys. 63, 117 (2024)
This invited essay belongs to a series considering highly influential articles published by the International Journal of Theoretical Physics. In this paper, we highlight the physical content and the profound consequences of Richard Feynman's 1982 pap
Externí odkaz:
http://arxiv.org/abs/2405.03366
Autor:
Corda, Christian, Cafaro, Carlo
Publikováno v:
Phys. Lett. B 856, 138948 (2024)
Mathur and Mehta won the third prize in the 2023 Gravity Research Foundation Essay Competition for proving the universality of black hole (BH) thermodynamics. Specifically, they demonstrated that any Extremely Compact Object (ECO) must have the same
Externí odkaz:
http://arxiv.org/abs/2404.18128
We examine the geodesic between two mixed states of arbitrary dimension by means of their geometric mean operator. We utilize the fiber bundle approach by which the distance between two mixed state density operators $\rho_1$ and $\rho_2$ in the base
Externí odkaz:
http://arxiv.org/abs/2404.04136