Engineering the coupling between Majorana bound states

TL;DR

This paper investigates how to enhance and control the coupling between Majorana bound states using a trivial chain with pairing and long-range couplings, including periodic driving, for quantum computing applications.

Contribution

It introduces a method to enhance and modulate Majorana bound state coupling via pairing, long-range interactions, and periodic driving, with potential quantum gate applications.

Findings

CMBS can be enhanced by pairing and long-range couplings.

Periodic driving allows modulation of CMBS by frequency and amplitude.

Tunable CMBS can be used to realize quantum logic gates.

Abstract

We study the coupling between Majorana bound states (CMBS), which is mediated by a topologically trivial chain in the presence of pairing coupling and long-range coupling. The results show that CMBS can be enhanced by the pairing coupling and long-range coupling of the trivial chain. When driving the trivial chain by periodic driving field, we deduce the analytical expressions of CMBS in the high-frequency limit, and demonstrate that CMBS can be modulated by the frequency and amplitude of driving field. Finally we exhibit the application of tunable CMBS in realizing quantum logic gates.