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Showing 2022 · quant-phShow all

22 papers · 2 filters

quant-ph2022★ 17 cited

Complete hierarchy for high-dimensional steering certification

Carlos de Gois, Martin Plávala, René Schwonnek +1

High-dimensional quantum steering can be seen as a test for the dimensionality of entanglement, where the devices at one side are not characterized. As such, it is an important com…

quant-ph2022★ 6 cited

Error bounds for Lie Group representations in quantum mechanics

Lauritz van Luijk, Niklas Galke, Alexander Hahn +1

We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…

quant-ph2022★ 1 cited

Symmetry-based quantum algorithms for open-shop scheduling with hard constraints

Lennart Binkowski, Gereon Koßmann, Christian Tutschku +1

Encoding hard-constrained optimization problems into a variational quantum algorithm often turns out to be a challenging task. In this work, we provide a solution for the class of…

quant-ph2022★ 3 cited

Deep-Circuit QAOA

Gereon Koßmann, Lennart Binkowski, Lauritz van Luijk +2

Despite its popularity, several empirical and theoretical studies suggest that the quantum approximate optimization algorithm (QAOA) has persistent issues in providing a substantia…

quant-ph2022★ 10 cited

Absence of localization in two-dimensional Clifford circuits

Tom Farshi, Jonas Richter, Daniele Toniolo +2

We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions. By using random graphs and methods from percolation theory, we prove in the two dimension…

quant-ph2022★ 22 cited

Measurement-based quantum computation in finite one-dimensional systems: string order implies computational power

Robert Raussendorf, Wang Yang, Arnab Adhikary

We present a new framework for assessing the power of measurement-based quantum computation (MBQC) on short-range entangled symmetric resource states, in spatial dimension one. It…