Majorana-Based Fermionic Quantum Computation

Majorana-Based Fermionic Quantum Computation

O'Brien, T. E. (Universiteit Leiden)
Rozek, P.M. (TU Delft QRD/Kouwenhoven Lab; TU Delft QuTech Advanced Research Centre)
Akhmerov, A.R. (TU Delft QN/Akhmerov Group)

2018-06-01

Because Majorana zero modes store quantum information nonlocally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal fermionic quantum computation. Our architecture requires only two Majorana modes to encode a fermionic quantum degree of freedom, compared to alternative implementations which require a minimum of four Majorana modes for a spin quantum degree of freedom. The fermionic degrees of freedom support both unitary coupled cluster variational quantum eigensolver and quantum phase estimation algorithms, proposed for quantum chemistry simulations. Because we avoid the Jordan-Wigner transformation, our scheme has a lower overhead for implementing both of these algorithms, allowing for simulation of the Trotterized Hubbard Hamiltonian in O(1) time per unitary step. We finally demonstrate magic state distillation in our fermionic architecture, giving a universal set of topologically protected fermionic quantum gates.

http://resolver.tudelft.nl/uuid:cebdbd72-6236-48c9-9f0a-7e3d84ab7c08

https://doi.org/10.1103/PhysRevLett.120.220504

0031-9007

Physical Review Letters, 120 (22), 1-6

Institutional Repository

journal article

© 2018 T. E. O'Brien, P.M. Rozek, A.R. Akhmerov