Topic: Deterministic and topologically protected Clifford gates for Majorana qubits without ancillary Majorana modes
Speaker: Professor LIU Xin, Huazhong University of Science and Technology (HUST)
Date and time: 10:00–11:30, February 24
Venue: Room 103, #5 Building of SPST
Host: LIU Jianpeng
Abstract:
Implementing single- and two-qubit gates for Majorana qubits is essential to topological quantum computing. In this talk, Prof. LIU will show his proposal to realize the measurement-based, deterministic, and fully topologically protected single- and two-qubit Clifford gates on the Majorana qubits. Prof. LIU will first compare the difference between the non-topological quantum computing and topological quantum computing. Afterwards, he will briefly introduce the previous studies on measurement-based Majorana braiding proposals with ancillary Majorana zero modes (MZMs). Next, he will show that his scheme can remove the requirement of ancillary (MZMs). Benefiting from the ancilla-free construction, we identify the minimum sets of the measurement-only scheme to construct Clifford gates with the help of geometric visualization. As the evolution of the MZMs along a certain closed path in their parameter space is equivalent to their full braiding, we propose to manipulate the MZMs in their parameter space after the minimal physical measurements to eliminate the uncertainty of the measurement-only scheme. Meanwhile, these manipulations are also topologically robust. Therefore the scheme is completely deterministic and topologically protected, with significant savings in physical operation costs.
Biography: