TL;DR
This paper explores the formalization of quantum physical resources as vectors and compares the advantages and disadvantages of vector computations to classical computational states.
Contribution
It introduces a formal framework for quantum resources using vectors and analyzes their computational implications versus classical states.
Findings
Vector formalization of quantum resources clarifies their computational properties
Comparison reveals specific advantages of vector computations over classical states
Highlights potential benefits and limitations of quantum vector-based computation
Abstract
Quantum physical resources are directional quantities that can be formalized by unit vectors or the associated orthogonal projection operators. When compared to classical computational states which are elements of (power) sets vector computations offer (dis)advantages.
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