Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference

Abstract

Constructing a universal operation scheme for Majorana qubits remains a central issue for the topological quantum computation. We study the Landau-Zener-Stückelberg interference in a Majorana qubit and show that this interference can be used to achieve controllable operations. The Majorana qubit consists of an rf SQUID with a topological nanowire Josephson junction which hosts Majorana bound states. In the SQUID, a magnetic flux pulse can drive the quantum evolution of the Majorana qubit. The qubit experiences two Landau-Zener transitions when the amplitude of the pulse is tuned around the superconducting flux quanta $2e/\hslash$. The Landau-Zener-Stückelberg interference between the two transitions rotates the Majorana qubit, with the angle controlled by the time scale of the pulse. This rotation operation implements a high-speed single-qubit gate on the Majorana qubit, which is a necessary ingredient for the topological quantum computation.

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Cited by in corpus (8)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Control and Coherence Time Enhancement of the 0-$\pi$ Qubit
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Josephson radiation patterns in underdamped topological Josephson junctions
• Josephson and persistent currents in a quantum ring between topological superconductors