Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
Li Dai (戴笠)1*, Watson Kuo (郭華丞)1,2, Ming-Chiang Chung (張明強)1,3
1Department of Physics, National Chung Hsing University, Taichung, Taiwan
2Center of Nanoscience and Nanotechnology, and Institute of Nanoscience, National Chung Hsing University, Taichung, Taiwan
3Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan
* presenting author:Li Dai, email:lidaisgp@gmail.com
We propose a scheme for extracting entangled charge qubits from quantum-dot chains that support zero-energy edge modes. The edge mode is composed of Majorana fermions localized at the ends of each chain. The qubit, logically encoded in double quantum dots, can be manipulated through tunneling and pairing interactions between them. The detailed form of the entangled state depends on both the parity measurement (an even or odd number) of the boundary-site electrons in each chain and the teleportation between the chains. The parity measurement is realized through the dispersive coupling of coherent-state microwave photons to the boundary sites, while the teleportation is performed via Bell measurements. Our scheme illustrates localizable entanglement in a fermionic system, which serves feasibly as a quantum repeater under realistic experimental conditions, as it allows for finite temperature effect and is robust against disorders, decoherence and quasi-particle poisoning.

Keywords: Entangled qubits, Majorana fermions, Quantum dots