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Power of Noisy Fermionic Quantum Computation

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Mathematical Challenges in Quantum Information

Co-authors: Fernando de Melo (CWI), Piotr Cwiklinkski (RWTH Aachen University)

We consider the realization of universal quantum computation through braiding of Majorana fermions supplemented by unprotected preparation of noisy ancillae. We ask (and partially answer) the question how noisy these ancillae are allowed to be before the fermionic computation has no quantum power and can be simulated efficiently classically. Motivated by this question we generalize concepts in entanglement theory to the setting of fermionic Gaussian states and their convex mixtures.

This talk is part of the Isaac Newton Institute Seminar Series series.

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