315 citations · 930 across the 28 of their papers we have counts for
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Local random quantum circuits are approximate polynomial-designs - numerical results
Piotr Ćwikliński, Michał Horodecki, Marek Mozrzymas +2
We numerically investigate the statement that local random quantum circuits acting on n qubits composed of polynomially many nearest neighbour two-qubit gates form an approximate u…
Local random quantum circuits are approximate polynomial-designs
Fernando G. S. L. Brandao, Aram W. Harrow, Michal Horodecki
We prove that local random quantum circuits acting on n qubits composed of O(t^{10} n^2) many nearest neighbor two-qubit gates form an approximate unitary t-design. Previously it w…
Darboux Points and Integrability Analysis of Hamiltonian Systems with Homogeneous Rational Potentials
Michał Studziński, Maria Przybylska
We study the integrability in the Liouville sense of natural Hamiltonian systems with a homogeneous rational potential $V(\vq)$. Strong necessary conditions for the integrability o…
Region of fidelities for a 1 -> N universal qubit quantum cloner
Piotr Ćwikliński, Michał Horodecki, Michał Studziński
We analyze a region of fidelities for qubit which is obtained after an application of a 1 -> N universal quantum cloner. We express the allowed region for fidelities in terms of ov…