Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Gross, David"'
We construct a convergent family of outer approximations for the problem of optimizing polynomial functions over convex bodies subject to polynomial constraints. This is achieved by generalizing the polarization hierarchy, which has previously been i
Externí odkaz:
http://arxiv.org/abs/2406.09506
We describe the symmetry group of the stabilizer polytope for any number $n$ of systems and any prime local dimension $d$. In the qubit case, the symmetry group coincides with the linear and anti-linear Clifford operations. In the case of qudits, the
Externí odkaz:
http://arxiv.org/abs/2405.17565
While there exist theories that have states "more strongly entangled" than quantum theory, in the sense that they show CHSH values above Tsirelson's bound, all known examples of such theories have a strictly smaller set of measurements. Therefore, in
Externí odkaz:
http://arxiv.org/abs/2405.13819
Many search-based quantum algorithms that achieve a theoretical speedup are not practically relevant since they require extraordinarily long coherence times, or lack the parallelizability of their classical counterparts.This raises the question of ho
Externí odkaz:
http://arxiv.org/abs/2404.15235
Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of synchroniza
Externí odkaz:
http://arxiv.org/abs/2403.09185
Autor:
Gross, David, Hangleiter, Dominik
Quantum computing devices can now perform sampling tasks which, according to complexity-theoretic and numerical evidence, are beyond the reach of classical computers. This raises the question of how one can efficiently verify that a quantum computer
Externí odkaz:
http://arxiv.org/abs/2312.10156
Autor:
Ammann, Sabrina, Hess, Maximilian, Ramacciotti, Debora, Fekete, Sándor P., Goedicke, Paulina L. A., Gross, David, Lefterovici, Andreea, Osborne, Tobias J., Perk, Michael, Rotundo, Antonio, Skelton, S. E., Stiller, Sebastian, de Wolff, Timo
In recent years, strong expectations have been raised for the possible power of quantum computing for solving difficult optimization problems, based on theoretical, asymptotic worst-case bounds. Can we expect this to have consequences for Linear and
Externí odkaz:
http://arxiv.org/abs/2311.09995
The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario
Autor:
Ligthart, Laurens T., Gross, David
Publikováno v:
J. Math. Phys. 64 (7), 2023
It is a fundamental but difficult problem to characterize the set of correlations that can be obtained by performing measurements on quantum mechanical systems. The problem is particularly challenging when the preparation procedure for the quantum st
Externí odkaz:
http://arxiv.org/abs/2212.11299
Autor:
Montealegre-Mora, Felipe, Gross, David
The representation theory of the Clifford group is playing an increasingly prominent role in quantum information theory, including in such diverse use cases as the construction of protocols for quantum system certification, quantum simulation, and qu
Externí odkaz:
http://arxiv.org/abs/2208.01688
Calibration of quantum gates is a necessary hurdle to overcome on the way to a reliable quantum computer. In a recent paper, a protocol called Gate Set Calibration protocol (GSC) has been introduced and used to learn coherent errors from multi-qubit
Externí odkaz:
http://arxiv.org/abs/2206.03417