Korovkin-type theorems and approximation by positive linear operators

F Altomare - arXiv preprint arXiv:1009.2601, 2010 - arxiv.org
… A quite comprehensive picture of what has been achieved in this field until 1994 is documented
in the monographs of Altomare and Campiti ([8], see in particular Appendix D), Donner ([…

[BOOK][B] Korovkin-type approximation theory and its applications

F Altomare, M Campiti - 2011 - books.google.com
… Moreover we say that ƒ is strictly positive if f(x) > 0 for every xe X. If … Analogously, if f: X →
R and α € R, we say that ƒ converges to a at the point at infinity, if for every ɛ> 0 there exists a …

Entanglement in a quantum annealing processor

…, MH Amin, AJ Berkley, R Harris, F Altomare… - Physical Review X, 2014 - APS
Entanglement lies at the core of quantum algorithms designed to solve problems that are
intractable by classical approaches. One such algorithm, quantum annealing (QA), provides a …

Coherent quantum annealing in a programmable 2,000 qubit Ising chain

…, S Suzuki, J Raymond, A Zucca, T Lanting, F Altomare… - Nature Physics, 2022 - nature.com
Quantum simulation has emerged as a valuable arena for demonstrating and understanding
the capabilities of near-term quantum computers 1 , 2 – 3 . Quantum annealing 4 , 5 has …

Architectural considerations in the design of a superconducting quantum annealing processor

…, E Tolkacheva, F Altomare… - IEEE Transactions …, 2014 - ieeexplore.ieee.org
We have developed a quantum annealing processor, based on an array of tunable coupled
rf-SQUID flux qubits, fabricated in a superconducting integrated circuit process. …

Optimal treatment of retinal vein occlusion: Canadian expert consensus

AR Berger, AF Cruess, F Altomare, V Chaudhary… - …, 2015 - karger.com
… Berger a Alan F. Cruess b Filiberto Altomare a Varun Chaudhary c Kevin Colleaux d Mark
Greve e Amin Kherani f Efrem D. Mandelcorn a Hugh Parsons g Marc-André Rhéaume h Eric …

Quantum critical dynamics in a 5,000-qubit programmable spin glass

…, J Raymond, T Lanting, R Harris, A Zucca, F Altomare… - Nature, 2023 - nature.com
… We estimate κ f for the three dynamics with varying J G from … κ f < κ c are expected beyond
the critical point (Supplementary Information section C(4)); we find a modest correction κ c − κ f

Thermally assisted quantum annealing of a 16-qubit problem

…, MW Johnson, MH Amin, R Harris, F Altomare… - Nature …, 2013 - nature.com
Efforts to develop useful quantum computers have been blocked primarily by environmental
noise. Quantum annealing is a scheme of quantum computation that is predicted to be more …

Observation of topological phenomena in a programmable lattice of 1,800 qubits

…, A Berkley, M Reis, T Lanting, R Harris, F Altomare… - Nature, 2018 - nature.com
… We consider the application of next-nearest-neighbour terms as a function f applied to the
coupling Hamiltonian J QA supplied to the processor, and seek a choice of J QA such that f(J …

Phase transitions in a programmable quantum spin glass simulator

R Harris, Y Sato, AJ Berkley, M Reis, F Altomare… - Science, 2018 - science.org
Understanding magnetic phases in quantum mechanical systems is one of the essential
goals in condensed matter physics, and the advent of prototype quantum simulation hardware …