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Theory of robust multi-qubit non-adiabatic gates for trapped-ions

2019/11/08 by Yotam Shapira, Ravid Shaniv, Tom Manovitz +5 · 1 citation
Physics and Astronomy · #quant-ph #physics.atom-ph

paper · pdf · doi:10.1103/physreva.101.032330

published as Phys. Rev. A 101, 032330 (2020) · 10+5 pages, 8 figures

arxiv created 2019/11/08 · arxiv updated 2020/03/25

Abstract

The prevalent approach to executing quantum algorithms on quantum computers is to break-down the algorithms to a concatenation of universal gates, typically single and two-qubit gates. However such a decomposition results in long gate sequences which are exponential in the qubit register size. Furthermore, gate fidelities tend to decrease when acting in larger qubit registers. Thus high-fidelity implementations in large qubit registers is still a prominent challenge. Here we propose and investigate multi-qubit entangling gates for trapped-ions. Our gates couple many qubits at once, allowing to decrease the total number of gates used while retaining a high gate fidelity. Our method employs all of the normal-modes of motion of the ion chain, which allows to operate outside of the adiabatic regime and at rates comparable to the secular ion-trapping frequency. Furthermore we extend our method for generating Hamiltonians which are suitable for quantum analog simulations, such as a nearest-neighbour spin Hamiltonian or the Su-Schrieffer-Heeger Hamiltonian.

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