Three-Josephson Junctions Flux Qubit Couplings
- URL: http://arxiv.org/abs/2111.05373v1
- Date: Tue, 9 Nov 2021 19:30:28 GMT
- Title: Three-Josephson Junctions Flux Qubit Couplings
- Authors: Mar\'ia Hita-P\'erez, Gabriel Jaum\`a, Manuel Pino, Juan Jos\'e
Garc\'ia-Ripoll
- Abstract summary: We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: 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
SQUID. Those two elements allow to engineer qubits Hamiltonians with $XX$, $YY$
and $ZZ$ interactions, including ultra-strongly 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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