Quantum operation of fermionic systems and process tomography using Majorana fermion gates
Quantum Physics
2021-02-02 v1
Abstract
Quantum tomography is an important tool for the characterisation of quantum operations. In this paper, we present a framework of quantum tomography in fermionic systems. Compared with qubit systems, fermions obey the superselection rule, which sets constraints on states, processes and measurements in a fermionic system. As a result, we can only partly reconstruct an operation that acts on a subset of fermion modes, and the full reconstruction always requires at least one ancillary fermion mode in addition to the subset. We also report a protocol for the full reconstruction based on gates in Majorana fermion quantum computer, including a set of circuits for realising the informationally-complete state preparation and measurement.
Cite
@article{arxiv.2102.00620,
title = {Quantum operation of fermionic systems and process tomography using Majorana fermion gates},
author = {Gang Zhang and Mingxia Huo and Ying Li},
journal= {arXiv preprint arXiv:2102.00620},
year = {2021}
}