1 citations · 1 across the 3 of their papers we have counts for
6 papers
A ribbon ZX calculus for gauge theory
Gabriel Wong, Razin A. Shaikh, William Donnelly
ZX calculus provides a graphical formalism for reasoning about quantum processes, built from two interacting Frobenius algebras associated with the Z and X bases of a qubit. While…
Graphical Algebraic Geometry: From Ideals and Varieties to Quantum Calculi
Dichuan Gao, Razin A. Shaikh, Aleks Kissinger
We introduce Graphical Algebraic Geometry (GAG), a family of diagrammatic languages extending the Graphical Linear Algebra programme. We construct several languages within this fam…
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…
From Fermions to Qubits: A ZX-Calculus Perspective
Haytham McDowall-Rose, Razin A. Shaikh, Lia Yeh
Mapping fermionic systems to qubits on a quantum computer is often the first step for algorithms in quantum chemistry and condensed matter physics. However, it is difficult to reco…