Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit

Danilin, S. , Vepsäläinen, A. and Paraoanu, G.S. (2018) Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit. Physica Scripta, 93(5), 055101. (doi: 10.1088/1402-4896/aab084)

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Quantum state manipulation with gates based on geometric phases acquired during cyclic operations promises inherent fault-tolerance and resilience to local fluctuations in the control parameters. Here we create a general non-Abelian and non-adiabatic holonomic gate acting in the (∣0}, ∣2}) subspace of a three-level (qutrit) transmon device fabricated in a fully coplanar design. Experimentally, this is realized by simultaneously coupling the first two transitions by microwave pulses with amplitudes and phases defined such that the condition of parallel transport is fulfilled. We demonstrate the creation of arbitrary superpositions in this subspace by changing the amplitudes of the pulses and the relative phase between them. We use two-photon pulses acting in the holonomic subspace to reveal the coherence of the state created by the geometric gate pulses and to prepare different superposition states. We also test the action of holonomic NOT and Hadamard gates on superpositions in the (∣0}, ∣2}) subspace.

Item Type:Articles
Additional Information:The authors are very grateful for the financial support from the Academy of Finland (project 263457, Center of Excellence ‘Low Temperature Quantum Phenomena and Devices’— project 250280, and Center of Excellence ‘Quantum Technologies in Finland’—project 312296), the Center for Quantum Engineering at Aalto University (projects QMET and QMETRO), and Väisalä Foundation.
Glasgow Author(s) Enlighten ID:Danilin, Dr Sergey
Authors: Danilin, S., Vepsäläinen, A., and Paraoanu, G.S.
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
Journal Name:Physica Scripta
Publisher:IOP Publishing
ISSN (Online):1402-4896
Published Online:26 March 2018
Copyright Holders:Copyright © 2018 IOP Publishing Ltd
First Published:First published in Physica Scripta 93(5): 055101
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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