Realizing Universal Majorana Fermionic Quantum Computation

TL;DR

This paper proposes a feasible physical realization of Majorana-fermionic quantum computation using line-defects in p-wave superconductors or superfluids on honeycomb lattices, enabling universal quantum operations with high controllability.

Contribution

It introduces a method to realize and manipulate Majorana fermions for universal quantum computation in a physical system.

Findings

Majorana zero modes can be trapped at line-defects in p-wave superconductors.

The proposed setup allows for universal quantum computation with high local controllability.

Cold-atom technology can be used for manipulation and readout of Majorana-based qubits.

Abstract

Majorana-fermionic quantum computation (MFQC) was proposed by Bravyi and Kitaev (See Ref.\cite{Kitaev}), in which a fault-torrent (non-topological) quantum computer built from Majorana fermions may be more efficient than that built from distinguishable two-state systems. However, till now people don't know how to realize a MFQC in a physical system. In this paper we proposed a possible realization of MFQC. We find that the end of a line-defect of p-wave superconductor or superfluid on a honeycomb lattice will trap a Majorana zero mode, which will become the starting point of MFQC. Then we show how to manipulate Majorana fermions to do universal MFQC, which possesses unique possibilities for high-level local controllability, individual addressing, and readout of the quantum states of individual constituent elements by using timely cold-atom technology.