176 citations · 1.3k across the 156 of their papers we have counts for
35 papers · 1 filter
ER=EPR, Entanglement Topology and Tensor Networks
Louis H. Kauffman
This paper discusses ER = EPR, the hypothesis of Susskind and Maldacena that entangled black holes are connected by an Einstein-Rosen bridge, and that more generally, quantum entan…
Iterants, Idempotents and Clifford algebra in Quantum Theory
Rukhsan Ul Haq, Louis H Kauffman
Projection operators are central to the algebraic formulation of quantum theory because both wavefunction and hermitian operators(observables) have spectral decomposition in terms…
Iterants, Fermions and the Dirac Equation
Louis H. Kauffman
We discuss how basic Clifford algebra and indeed all of matrix algebra and matrix representations of finite groups comes from Iterants: very elementary processes such as an alterna…
Quantum Diagrams and Quantum Networks
Louis H. Kauffman, Samuel J. Lomonaco
This paper is an introduction to diagrammatic methods for representing quantum processes and quantum computing. We review basic notions for quantum information and quantum computin…
Knot Logic and Topological Quantum Computing with Majorana Fermions
Louis H. Kauffman
This paper is an introduction to relationships between quantum topology and quantum computing. We take a foundational approach, showing how knots are related not just to braiding a…
Quantizing Knots and Beyond
Louis H. Kauffman, Samuel J. Lomonaco
This paper formulates a generalization of our work on quantum knots to explain how to make quantum versions of algebraic, combinatorial and topological structures. We include a des…