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Quantum‐controlled NOT gate made of coupled polyacetylene chains
Author(s) -
Vales Guimarães Paulo Henrique,
E Silva Geraldo Magela
Publication year - 2005
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20586
Subject(s) - hamiltonian (control theory) , polyacetylene , quantum , physics , qubit , electric field , chain (unit) , quantum mechanics , lattice (music) , equations of motion , condensed matter physics , chemistry , doping , mathematics , mathematical optimization , acoustics
Two interacting polyacetylene chains are considered as a system for possible physical implementation of a quantum‐controlled NOT gate. The two mid‐gap level states of a pair of solitons on each chain act as the control and target qubits, respectively. The dynamics of these solitons is calculated using an extended SSH Hamiltonian. The time‐dependent Schrödinger equation and the equation of motion for the lattice displacements are numerically integrated. The energy levels of the system are controlled by impurities added to each chain and the interchain interaction. The dynamics of the system is analyzed under the application of an electric field, and its influence on the energy levels is determined. The quantum‐controlled NOT gate behavior is obtained by the correct configuration of impurities. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005