TITLE:
Generation of Quantum Vector States Using the Exchange Interaction
AUTHORS:
Mrittunjoy Guha Majumdar
KEYWORDS:
Quantum Entanglement, Vector States, Exchange Interaction
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.12,
December
19,
2019
ABSTRACT: In this paper, I study the invariant subspaces of quantum states under SWAPα gates arising from the exchange interaction and their use in quantum computation. I investigate the generation and characterization of invariant-subspace vector-states that arise from such gates. I also state a condition for the locus of states that are accessible using the SWAPα gates, given an initial input state.