315 citations · 796 across the 12 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…
The Power of Noisy Fermionic Quantum Computation
Fernando de Melo, Piotr Ćwikliński, Barbara M. Terhal
We consider the realization of universal quantum computation through braiding of Majorana fermions supplemented by unprotected preparation of noisy ancillae. It has been shown by B…
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…
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…