TL;DR
This paper reformulates fundamental quantum gates within a geometric-algebra framework, enabling quantum algorithms to be expressed purely geometrically without tensor products.
Contribution
It introduces a geometric-algebra approach to quantum gates, simplifying the representation of quantum algorithms.
Findings
Quantum gates are reformulated in geometric algebra.
Quantum algorithms can be expressed without tensor products.
Provides a new geometric perspective on quantum computation.
Abstract
The basic one-bit gates (X, Y, Z, Hadamard, phase, pi/8) as well as the controlled cnot and Toffoli gates are reformulated in the language of geometric-algebra quantum-like computation. Thus, all the quantum algorithms can be reformulated in purely geometric terms without any need of tensor products.
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