Exterior calculus and fermionic quantum computation

Apostol Vourdas
2018 Journal of Physics A: Mathematical and Theoretical  
Exterior calculus with its three operations meet, join and hodge star complement, is used for the representation of fermion-hole systems and for fermionic analogues of logical gates. Two different schemes that implement fermionic quantum computation, are proposed. The first scheme compares fermionic gates with Boolean gates, and leads to novel electronic devices that simulate fermionic gates. The second scheme usesa well known map between fermionic and multi-qubit systems, to simulate fermionic
more » ... simulate fermionic gates within multi-qubit systems.
doi:10.1088/1751-8121/aae2c4 fatcat:blx7sejrvfevpfi2egc3arcgca