An online calculator for quantum computing operations based on geometric algebra

R Alves, D Hildenbrand, J Hrdina, C Lavor - Advances in Applied Clifford …, 2022 - Springer
R Alves, D Hildenbrand, J Hrdina, C Lavor
Advances in Applied Clifford Algebras, 2022Springer
In this paper, we present Geometric Algebra as a powerful language to describe quantum
operations using its geometric intuitiveness. Using the web-based GAALOPWeb, an online
geometric algebra algorithm optimizer for computing with qubits, we describe new
formulations for the NOT operation, as well as a strategy to describe the Z gate and
especially the Hadamard operation both for one and multiple qubits.
Abstract
In this paper, we present Geometric Algebra as a powerful language to describe quantum operations using its geometric intuitiveness. Using the web-based GAALOPWeb, an online geometric algebra algorithm optimizer for computing with qubits, we describe new formulations for the NOT operation, as well as a strategy to describe the Z gate and especially the Hadamard operation both for one and multiple qubits.
Springer
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