UNA UNA PROPUESTA DE ENSEÑANZA-APRENDIZAJE PARA LA COMPUTACIÓN CUANTICA: EMULACIÓN DE UNA COMPUERTA CUANTICA TIPO CNOT Y TOFFOLI POR UN CIRCUITO CLÁSICO

Abstract

A proposal for teaching of quantum computing to students between 12 and 17 years old is proposed, given
that their intellectual activity is at its peak, which contributes significantly to the processes involved in
their learning such as: language, writing, reading among others. A pragmatic approach is established as
a strategy for their literacy. In this framework, the concepts of state, principle of superposition, qubits,
gates, among others, are introduced, proposing the emulation of a quantum gate by a classical circuit,
which allows us to weave ideas that are based on the formalism of quantum computing. Under this context,
the equivalence between the CNOT and Toffoli type gate with a classical circuit is shown in terms of the
logical operation between the input and output of information. The classical circuit emulates the CNOT gate through the | xy >→| x,y⊕x >, with x,y ∈ {0,1}, and to the Toffoli gate through the operation
| q1q2q3 >→| q1,q2,q3⊕(q1 ∧q2) >, with q1,q2,q3 ∈ {0,1}, satisfying the logical operations respectively.
The general structure of the CNOT and Toffoli quantum circuit is described, to then specify the architecture
and operation of the classical circuit followed by the logical operations. Emulation becomes important since
it allows students to get closer to the fundamentals of quantum computing in an alternative and solid way.