We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace. Specifically, we extract the effective Hamiltonians that controls the dynamics of two qubits when they are coupled via a capacitor and/or via a Josephson junction. While the capacitor induces a static charge coupling tunable by design, the Josephson junction produces a magnetic-like interaction easily tunable by replacing the junction with a superconducting quantum interference device. Those two elements allow to engineer qubits Hamiltonians with XX, YY, and ZZ interactions, including ultrastrongly coupled ones. We present an exhaustive numerical study for two three-Josephson junctions flux qubit that can be directly used in experimental work. The method developed here, namely, the numerical tool to extract qubit effective Hamiltonians at strong coupling, can be applied to replicate our analysis for general systems of many qubits and any type of coupling.
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Three-Josephson junctions flux qubit couplings
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29 November 2021
Research Article|
December 01 2021
Three-Josephson junctions flux qubit couplings
Special Collection:
Emerging Qubit Systems - Novel Materials, Encodings and Architectures
María Hita-Pérez
;
María Hita-Pérez
a)
Institute of Fundamental Physics IFF-CSIC
, Calle Serrano 113b, Madrid 28006, Spain
a)Author to whom correspondence should be addressed: hitaperezmaria@gmail.com
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Gabriel Jaumà;
Gabriel Jaumà
Institute of Fundamental Physics IFF-CSIC
, Calle Serrano 113b, Madrid 28006, Spain
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Manuel Pino;
Manuel Pino
b)
Institute of Fundamental Physics IFF-CSIC
, Calle Serrano 113b, Madrid 28006, Spain
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Juan José García-Ripoll
Juan José García-Ripoll
Institute of Fundamental Physics IFF-CSIC
, Calle Serrano 113b, Madrid 28006, Spain
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a)Author to whom correspondence should be addressed: hitaperezmaria@gmail.com
b)
Present address: Nanotechnology Group, USAL–Nanolab, Universidad de Salamanca, E-37008 Salamanca, Spain.
Note: This paper is part of the APL Special Collection on Emerging Qubit Systems - Novel Materials, Encodings and Architectures.
Appl. Phys. Lett. 119, 222601 (2021)
Article history
Received:
August 31 2021
Accepted:
November 10 2021
Citation
María Hita-Pérez, Gabriel Jaumà, Manuel Pino, Juan José García-Ripoll; Three-Josephson junctions flux qubit couplings. Appl. Phys. Lett. 29 November 2021; 119 (22): 222601. https://doi.org/10.1063/5.0069530
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