ESTIMATING PI USING HIGH-DIMENSIONAL SINGLE AND MULTI-GLOBAL QUANTUM PHASE ESTIMATION ALGORITHM ON CIRQ

CEYLAN O. S., GÜNDÜZ S., KAYA F., YILMAZ İ.

Quantum Information and Computation, vol.24, no.5-6, pp.425-437, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 5-6
  • Publication Date: 2024
  • Doi Number: 10.26421/qic24.5-6-3
  • Journal Name: Quantum Information and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, zbMATH
  • Page Numbers: pp.425-437
  • Keywords: High-Dimension, Pi, Quantum Computation
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

Quantum computing is carried out based on the working principles of quantum mechanics. Current 2-dimensional quantum computing techniques face major problems such as noise and information capacity. As such, high-dimensional quantum computing is leveraged to solve these problems. This study attempts to approximate the pi number through the multi-global and single-global Quantum Phase Estimation (QPE) algorithms in high-dimension. This study reveals that pi can be calculated by using fewer quantum resources in high dimension with at least equal or higher precision than that obtained by 2-dimensional QPE. In addition, when the number of qudits or the number of dimensions is kept constant, the multi-global QPE in high dimensions yields at least equal or better results than the single-global QPE. All calculations performed in this study are implemented on Cirq.