Majorana-Based Fermionic Quantum Computation

T. E. O'Brien, P. Rożek, A. R. Akhmerov

Research output: Contribution to journalArticleScientificpeer-review

27 Citations (Scopus)
177 Downloads (Pure)

Abstract

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.

Original languageEnglish
Article number220504
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Volume120
Issue number22
DOIs
Publication statusPublished - 1 Jun 2018

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