Quantum simulation of topological Majorana bound states and their universal quantum operations using charge-qubit arrays

Abstract

Majorana bound states have been a focus of condensed matter research for their potential applications in topological quantum computation. Here we utilize two charge-qubit arrays to explicitly simulate a DIII class one-dimensional superconductor model where Majorana end states can appear. Combined with one braiding operation, universal single-qubit operations on a Majorana-based qubit can be implemented by a controllable inductive coupling between two charge qubits at the ends of the arrays. We further show that in a similar way, a controlled-NOT gate for two topological qubits can be simulated in four charge-qubit arrays. Although the current scheme may not truly realize topological quantum operations, we elaborate that the operations in charge-qubit arrays are indeed robust against certain local perturbations.

arXiv comment5 pages, 3 figures

References in corpus (17)

• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Elementary gates for quantum computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Quantum state engineering with Josephson-junction devices
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Implementation of universal quantum gates based on nonadiabatic geometric phases
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Majorana qubit rotations in microwave cavities
• Controllable exchange coupling between two singlet-triplet qubits
• Quantum information processing using Josephson junctions coupled through cavities
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Exotic Topological Types of Majorana Zero-modes and Their Universal Quantum Manipulation
• Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system

Cited by in corpus (2)

• Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
• Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains