Majorana phase-gate based on the geometric phase

Abstract

We study dynamics of a single qubit encoded in two pairs of Majorana modes, whereby each pair is hosted on a trijunction described by the Kitaev model extended by many-body interactions. We demonstrated that the challenging phase-gate may be efficiently implemented via braiding of partially overlapping modes. Although such qubit acquires both geometric and dynamical phases during the braiding protocol, the latter phase may be eliminated if the Majorana modes are hosted by systems with appropriate particle-hole symmetry.

9 pages, 8 figures

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Cited by in corpus (12)

• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Many-body Majorana braiding without an exponential Hilbert space
• Majorana quasiparticles in atomic spin chains on superconductors
• Manipulation of Majorana Kramers Qubit and its Tolerance in Time-Reversal-Invariant Topological Superconductor
• Influence of long-range interaction on Majorana zero modes
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Progress applying density of states for gravitational waves
• Readout of Majorana bound states via Landau-Zener transition
• Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
• Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices
• Exchangeless braiding of Majorana zero modes in weakly coupled Kitaev chains
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method