Constructing quantum logic gates using q-deformed harmonic oscillator algebras

• DOI: 10.1007/s11128-013-0709-3
• Publication Date: 2013-12-16T08:38:24Z
• Authors: Azmi Ali Altintas; Fatih Ozaydin; Can Yesilyurt; Sinan Bugu; Metin Arik
• Keywords: States; Quantum Physics; Quantum logic gates; FOS: Physical sciences; 01 natural sciences; Models; Boson algebra; 0103 physical sciences; Qubit; Q-Deformed boson algebra; Quantum Physics (quant-ph); Invariance group

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.<br/>Slightly modified version of the accepted manuscript<br/>