Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 42: Poster: Quantum Computation

FM 42.9: Poster

Dienstag, 24. September 2019, 16:30–18:30, Tents

Rapid counter-diabatic and inhomogeneous sweeps in lattice gauge adiabatic quantum computing — •Andreas Hartmann¹ and Wolfgang Lechner² — ¹Institute for Theoretical, University of Innsbruck, A-6020, Austria — ²Institute for Theoretical, University of Innsbruck, A-6020, Austria

We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol. We make use of a variational method to find approximate counter-diabatic Hamiltonians that has recently been introduced by Sels and Polkovnikov [Proc. Natl. Acad. Sci. 114, 3909 (2017)]. The resulting additional terms in our protocol are time-dependent local on-site y-magnetic fields. A single free parameter is introduced which is optimized via classical updates. The protocol consists only of local and nearest-neighbor terms which makes it attractive for implementations in near term experiments.

We further present an inhomogeneous driving protocol in LHZ with modified transverse fields with improved ground state fidelity and enlarged minimal energy gaps. The inhomogeneously driven transverse field introduces an additional time-dependent parameter that improves the efficiency of the method. For the 2D lattice gauge model LHZ we analytically derive the free energy term and numerically verify it.