5 citations · 6 across the 8 of their papers we have counts for
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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…
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…
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…
The Focked-up ZX Calculus: Picturing Continuous-Variable Quantum Computation
Razin A. Shaikh, Lia Yeh, Stefano Gogioso
While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computati…
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…
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…