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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.12 No.11&12 November 2012 |
Dirac four-potential tunings-based quantum transistor utilizing the
Lorentz force
(pp0989-1010)
Agung
Trisetyarso
doi:
https://doi.org/10.26421/QIC12.11-12-7
Abstracts:
We propose a mathematical model of quantum transistor in which bandgap
engineering corresponds to the tuning of Dirac potential in the complex
four-vector form. The transistor consists of n-relativistic spin qubits
moving in classical external electromagnetic fields. It is shown that
the tuning of the direction of the external electromagnetic fields
generates perturbation on the potential temporally and spatially,
determining the type of quantum logic gates. The theory underlying of
this scheme is on the proposal of the intertwining operator for Darboux
transfomations on one-dimensional Dirac equation amalgamating the
vector-quantum gates duality of Pauli matrices. Simultaneous
transformation of qubit and energy can be accomplished by setting the
{control, cyclic}- operators attached on the coupling between one-qubit
quantum gate: the chose of cyclicoperator swaps the qubit and energy
simultaneously, while control-operator ensures the energy conservation.
Key words:
Dirac Potential, Darboux Transformations, Quantum
Transistor, Quantum Logic Gates |
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