The Geometry of Quantum Computing

Abstract

In this expository paper we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.

References in corpus (3)

• Quantum Natural Gradient
• Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
• Quantum Fisher information for density matrices with arbitrary ranks

Cited by in corpus (1)

• Qubit Geometry through Holomorphic Quantization