Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal

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dc.creatorCristofano, Gerardo
dc.creatorMarotta, Vincenzo
dc.creatorNaddeo, Adele
dc.creatorNiccoli, Giuliano
dc.date2008-10-16
dc.date.accessioned2026-07-07T12:15:51Z
dc.date.available2026-07-07T12:15:51Z
dc.descriptionRecently a one-dimensional closed ladder of Josephson junctions has been studied (G. Cristofano et al., Phys. Lett. A 372 (2008) 2464) within a twisted conformal field theory (CFT) approach (G. Cristofano et al., Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B 641 (2002) 547) and shown to develop the phenomenon of flux fractionalization (G. Cristofano et al., Eur. Phys. J. B 49 (2006) 83). That led us to predict the emergence of a topological order in such a system (G. Cristofano et al., JSTAT (2005) P03006). In this letter we analyze the ground states and the topological properties of fully frustrated Josephson junction arrays (JJA) arranged in a Corbino disk geometry for a variety of boundary conditions. In particular minimal configurations of fully frustrated JJA are considered and shown to exhibit the properties needed in order to build up a solid state qubit, protected from decoherence. The stability and transformation properties of the ground states of the JJA under adiabatic magnetic flux changes are analyzed in detail in order to provide a tool for the manipulation of the proposed qubit.
dc.description24 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0810.2920
dc.identifierhttp://arxiv.org/abs/0810.2920
dc.identifierPhys.Lett.A372:6965-6974,2008
dc.identifierdoi:10.1016/j.physleta.2008.10.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211618
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleTopologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal
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