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3 papers
Completeness of qufinite ZXW calculus, a graphical language for finite-dimensional quantum theory
Quanlong Wang, Boldizsár Poór, Razin A. Shaikh
Finite-dimensional quantum theory serves as the theoretical foundation for quantum information and computation. Mathematically, it is formalized in the category FHilb, comprising a…
Beyond Penrose tensor diagrams with the ZX calculus: Applications to quantum computing, quantum machine learning, condensed matter physics, and quantum gravity
Quanlong Wang, Richard D. P. East, Razin A. Shaikh +3
We introduce the Spin-ZX calculus as an elevation of Penrose's diagrams and associated binor calculus to the level of a formal diagrammatic language. The power of doing so is illus…
ZX-calculus is Complete for Finite-Dimensional Hilbert Spaces
Boldizsár Poór, Razin A. Shaikh, Quanlong Wang
The ZX-calculus is a graphical language for reasoning about quantum computing and quantum information theory. As a complete graphical language, it incorporates a set of axioms rich…