Abstract
This research introduces a pioneering approach in quantum computing
that harnesses the fundamental principles of the Mobius strip to store
and preserve the state of qubits. Leveraging the capabilities of quantum
gates and entanglement, a custom quantum circuit is designed and
implemented using the Qiskit framework. Through rigorous
experimentation, the circuit successfully emulates the behavior of a
Mobius strip, ensuring the enduring preservation of stored information.
The devised methodology encompasses the creation of a quantum circuit
comprising an input qubit and an output qubit. The initial state of the
input qubit is determined by user input, setting the foundation for
subsequent operations. By skillfully applying specialized gates and
entanglement operations, the circuit faithfully represents the unique
characteristics of the Mobius strip. Crucially, the output qubit’s state
is measured, unveiling the resultant information encoded within. The
experimental findings unequivocally establish the circuit’s unrivaled
ability to steadfastly preserve information, irrespective of the number
of iterations. Each execution yields the desired output, substantiating
the efficacy of the bespoke gate arrangement in storing and upholding
qubit states. This seminal research not only underscores the immense
potential of integrating non-trivial mathematical concepts, exemplified
by the Mobius strip, into quantum computing but also opens up
unprecedented vistas for information storage and manipulation. The
preservation of qubit states within the circuit paves the way for
cutting-edge advancements in diverse quantum algorithms and
applications. By seamlessly embodying the principles of scientific
inquiry, this study serves as a trailblazing foundation for future
explorations in the burgeoning field of quantum computing.