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Quantum Computation as Geometry [PDF]
Science, 2006 Quantum computers hold great promise for solving interesting computational problems, but it remains a challenge to find efficient quantum circuits that can perform these complicated tasks. Here we show that finding optimal quantum circuits is essentially equivalent to finding the shortest path between two points in a certain curved geometry.
Nielsen, Michael A. +3 more
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Quantum Geometry and Quantum Gravity [PDF]
AIP Conference Proceedings, 2008 To appear in the AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics, Lisbon - Portugal, 5-8 September ...
J. Fernando Barbero G. +2 more
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Invariants in Quantum Geometry [PDF]
Reports on Mathematical Physics, 2021 In quantum geometry, we consider a set of loops, a compact orientable surface and a solid compact spatial region, all inside $\mathbb{R} \times \mathbb{R}^3 \equiv \mathbb{R}^4$, which forms a triple. We want to define an ambient isotopic equivalence relation on such triples, so that we can obtain equivalence invariants.
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Geometry and the quantum: basics [PDF]
Journal of High Energy Physics, 2014 33 pages, 2 ...
Chamseddine, Ali H. +2 more
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Frontiers in Astronomy and Space Sciences, 2021 In this article, we reexamine the derivation of the dynamical equations of the Ashtekar-Olmedo-Singh black hole model in order to determine whether it is possible to construct a Hamiltonian formalism where the parameters that regulate the introduction of
Alejandro García-Quismondo +1 more
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SciPost Physics, 2022 Motivated by the experimental progress in controlling the properties of the energy bands in superconductors, significant theoretical efforts have been devoted to study the effect of the quantum geometry and the flatness of the dispersion on the ...
Alexander Lau, Sebastiano Peotta, Dmitry I. Pikulin, Enrico Rossi, Timo Hyart
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QUANTUM, GRAVITY AND GEOMETRY [PDF]
International Journal of Modern Physics A, 2000 Recently, 1–3 it is shown that, the quantum effects of matter are well described by the conformal degree of freedom of the space–time metric. On the other hand, it is a well-known fact that according to Einstein's gravity theory, gravity and geometry are interconnected.
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Exploring Quantum Geometry Created by Quantum Matter
Physics, 2022 Exactly soluble models can serve as excellent tools to explore conceptual issues in non-perturbative quantum gravity. In perturbative approaches, it is only the two radiative modes of the linearized gravitational field that are quantized.
Abhay Ashtekar
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Geometry and quantum noise [PDF]
Fortschritte der Physik, 2014 AbstractWe study the fine structure of long‐time quantum noise in correlation functions of AdS/CFT systems. Under standard assumptions of quantum chaos for the dynamics and the observables, we estimate the size of exponentially small oscillations and trace them back to geometrical features of the bulk system. The noise level is highly suppressed by the
Fernández Barbón, José L. +1 more
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Intuitionistic quantum logic of an n-level system [PDF]
, 2009 A decade ago, Isham and Butterfield proposed a topos theoretic approach to quantum mechanics, which meanwhile has been extended by Doering and Isham so as to provide a new mathematical foundation for all of physics.
Landsman, N.P. +19 more
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