Scalable star-shaped architecture for universal spin-based nonadiabatic holonomic quantum computation

Abstract

Nonadiabatic holonomic quantum computation as one of the key steps to achieve fault tolerant quantum information processing has so far been realized in a number of physical settings. However, in some physical systems particularly in spin qubit systems, which are actively considered for realization of quantum computers, experimental challenges are undeniable and the lack of a practically feasible and scalable scheme that supports universal holonomic quantum computation all in a single well defined setup is still an issue. Here, we propose and discuss a scalable star-shape architecture with promising feasibility, which may open up for realization of universal (electron-)spin-based nonadiabatic holonomic quantum computation.

Implementation of Geometric Quantum Gates on Microwave‐Driven Semiconductor Charge Qubits

“…In this work, we focus on non‐adiabatic GQGs. In addition, GQG has also been investigated in the context of semiconductor quantum dots using spin states [ 38,43,69–73 ] and charge states, [ 39,71,74,75 ] based on non‐adiabatic evolutions. Nevertheless, detailed implementation of GQGs in charge qubit systems, especially in those driven by microwave at sweet spots, is lacking in the literature.…”

Dynamical-decoupling-protected nonadiabatic holonomic quantum computation

“…By using this approach, one can easily find a Hamiltonian making the quantum system evolve along a desired path so that nonadiabatic holonomic gates can be realized with an economical evolution time. Up to now, a lot of works both in theories [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] and experiments [39][40][41][42][43][44][45][46][47][48][49][50][51][52] have contributed to nonadiabatic holonomic quantum computation.…”

Fast Holonomic Quantum Computation on Superconducting Circuits With Optimal Control

“…Due to the limited coherent times of quantum systems [10,11], the physical realization of holonomic QC based on fast nonadiabatic evolution, i.e., the nonadiabatic holonomic QC (NHQC) [12,13], is highly desirable. Recently, the NHQC have achieved significant theoretical [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] and experimental progress [34][35][36][37][38][39][40][41][42][43][44][45][46]. Among these schemes, due to the easy integrability and flexibility, superconducting circuits system [47][48][49][50][51] is recognized as a promising candidate to implement scalable QC.…”