Why It Is Sufficient to Have Real-Valued Amplitudes in Quantum Computing

Authors

Isaac Bautista, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Nguyen Hoang Phuong, Thang Long UniversityFollow

Publication Date

5-2020

Comments

Technical Report: UTEP-CS-20-48

Abstract

In the last decades, a lot of attention has been placed on quantum algorithms -- algorithms that will run on future quantum computers. In principle, quantum systems can use any complex-valued amplitudes. However, in practice, quantum algorithms only use real-valued amplitudes. In this paper, we provide a simple explanation for this empirical fact.