Constructing Quantum Logic Gates Using q-Deformed Harmonic Oscillator Algebras
Azmi Ali Altintas, Fatih Ozaydin, Can Yesilyurt, Sinan Bugu, Metin, Arik
TL;DR
This paper introduces a framework for constructing qubits and quantum gates using q-deformed harmonic oscillator algebras, enabling new approaches in quantum computing with deformed algebraic structures.
Contribution
It presents a novel method for building quantum gates from q-deformed harmonic oscillators, expanding the toolkit for quantum information processing.
Findings
Construction of basic quantum gates like CNOT, SWAP, Toffoli, and Fredkin using q-deformed algebras
Framework for representing qubits with q-deformed angular momentum states
Potential for new quantum computing architectures based on algebraic deformations
Abstract
We study two-level q-deformed angular momentum states and us- ing q-deformed harmonic oscillators, we provide a framework for con- structing qubits and quantum gates. We also present the construction of some basic quantum gates including CNOT, SWAP, Toffoli and Fredkin.
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