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Q: Fachverband Quantenoptik und Photonik
Q 47: Quantum Computing I
Q 47.6: Vortrag
Donnerstag, 9. März 2017, 16:00–16:15, P 2
Fidelity witnesses for certifying digital quantum simulations of fermionic linear optics — •Marek Gluza1, Martin Kliesch2, Jens Eisert1, and Leandro Aolita3 — 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Germany — 2National Quantum Information Centre, University of Gdansk, Poland — 3Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil
Recently, digital quantum simulations in platforms based on trapped ions, cavity QED and superconducting circuits have been reported in which systems consisting of few qubits were evolved under a programmable set of gates. These studies were successfully certified by quantum state tomography, which will not be possible in future simulations of larger systems due to the exponential growth of the Hilbert space dimension.
We address this conceptual issue by employing ideas of geometrical separation and importance sampling in order to construct a fidelity witness. Specifically, we provide a method to efficiently certify preparations of pure Gaussian fermionic target states, which are captured by the formalism of fermionic linear optics. Moreover, we apply our fidelity witness to dynamical quenches in the paradigmatic critical transverse field Ising model and additionally describe possible applications to adiabatic quantum computation. The number of state preparations needed to certify the fidelity of prepared states is a polynomial of a small degree in the number of the system's constituents, which allows for the certification of scalable quantum simulations.