Work

Dissipationless topological quantum computation for Majorana objects in the sparse-dense mixed encoding process

Year: 2024

Type: article

Abstract: Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders the quantum operations involving these gates probabilistic when attempting to advance quantum processes within the quantum circuit model. Such an approach leads to significant information loss whenever measurements yield the undesired fermion parity. To resolve the problem of wasting information, we devise topological operations that allow for the nondissipative correction of information from undesired fermion parity to the desired one. We will use the sparse-dense mixed encoding process for the controlled-NOT gate as an example to explain how corrections can be implemented without affecting the quantum information carried by the computational qubits. This correction process can be applied to either the undesired input qubits or the fermion parity-dependent quantum gates, and it works for both Majorana-zero-mode-based and Majorana-edge-mode-based topological quantum computation.

Source: Physical Review A

DOI: 10.1103/physreva.110.022609

Authors: Ye-Min Zhan, Guan-Dong Mao, Yu-Ge Chen, Yue Yu, Xi Luo

Institutions: Fudan University, State Key Laboratory of Surface Physics, Chinese Academy of Sciences, Institute of Physics, University of Shanghai for Science and Technology

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G4043516595