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Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits

Pal, A; Rashba, EI; Halperin, BI; (2015) Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits. Physical Review X , 4 (1) , Article 011012. 10.1103/physrevx.4.011012. Green open access

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Abstract

Inspired by the creation of a fast exchange-only qubit [Medford et al., Phys. Rev. Lett. 111, 050501 (2013)], we develop a theory describing the nonlinear dynamics of two such qubits that are capacitively coupled, when one of them is driven resonantly at a frequency equal to its level splitting. We include conditions of strong driving, where the Rabi frequency is a significant fraction of the level splitting, and we consider situations where the splitting for the second qubit may be the same as or different than the first. We demonstrate that coupling between qubits can be detected by reading the response of the second qubit, even when the coupling between them is only of about 1% of their level splittings, and we calculate entanglement between qubits. Patterns of nonlinear dynamics of coupled qubits and their entanglement are strongly dependent on the geometry of the system, and the specific mechanism of interqubit coupling deeply influences dynamics of both qubits. In particular, we describe the development of irregular dynamics in a two-qubit system, explore approaches for inhibiting it, and demonstrate the existence of an optimal range of coupling strength maintaining stability during the operational time.

Type: Article
Title: Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physrevx.4.011012
Publisher version: http://doi.org/10.1103/physrevx.4.011012
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10084510
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