Title :
Scaling and Better Approximating Quantum Fourier Transform by Higher Radices
Author :
Zilic, Zeljko ; Radecka, Katarzyna
Author_Institution :
McGill Univ., Montreal, Que.
Abstract :
Quantum Fourier transform (QFT) plays a principal role in the development of efficient quantum algorithms. Since the number of quantum bits that can be built is limited, while many quantum technologies are inherently three (or more) valued, we consider extending the reach of the realistic quantum systems by building a QFT over ternary quantum digits. Compared to traditional binary QFT, the q-valued transform improves approximation properties and increases the state space by a factor of (q/2)n. Further, we use nonbinary QFT derivation to generalize and improve the approximation bounds for QFT
Keywords :
Fourier transforms; quantum computing; Walsh functions; higher radices; multivalued logic circuits; multivariable systems; nonbinary QFT derivation; q-valued transform; quantum Fourier transform approximation; quantum Fourier transform scaling; quantum computing; ternary quantum digits; Circuits; Fourier transforms; MIMO; Multivalued logic; Quantum computing; Quantum dots; Quantum mechanics; Space technology; State-space methods; Vectors; Fourier transform; Walsh functions.; multivalued logic circuits; multivariable systems; quantum computing;
Journal_Title :
Computers, IEEE Transactions on
