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Results for “topological” 8 papers
Superconducting. Superconducting hardware Tagged papers: 26.
Braid Group Representations, Modular Data, and the Classification of Majorana Zero Mode Fusion Rules in 2D Topological Superconductors
Majorana zero modes (MZMs) localized on vortices of a two-dimensional topological superconductor carry a projective representation of the braid group, and the associated anyon theory is encoded in a modular tensor category whose fusion rules and modular data ($S$ and $T$ matrices) determine the…
Braid Group Representations, Modular Data, and the Classification of Majorana Zero Mode Fusion Rules in 2D Topological Superconductors
We investigate whether the braid group representation on $N$ anyons uniquely determines the modular data ($S$ and $T$ matrices) of a non-Abelian topological order, and whether this framework classifies all fusion rules for Majorana zero modes (MZMs) in 2D topological superconductors. We show that…
Superconductivity Quadrangle
The engineering of robust, decoherence-resistant topological qubits is currently impeded by a fragmented approach to material design that often treats control parameters in isolation. This study introduces and computationally validates the “Superconductivity Quadrangle,” a unified framework…
Twisted Cuprate Twistronics and the Thermodynamic Scaling of Topological Quantum Computation
The induction of a 25 meV chiral topological gap in 45-degree twisted Bi-2212 heterostructures enables intrinsically protected quantum computation at 4 Kelvin, effectively resolving the thermodynamic and input-output bottlenecks that constrain current millikelvin superconducting architectures.
Engineering Macroscopic Quantum Coherence in Disordered Moiré Metamaterials
The study of moiré materials is defined by a central paradox: the experimental observation of robust, macroscopic quantum phases, such as superconductivity and topological insulation, in devices known to possess significant atomistic disorder. This work bridges this “disorder-topology gap” by…
Thermodynamic Scaling of 4-Kelvin Topological Processors
Standard superconducting quantum processors are currently constrained by the thermodynamic bottleneck of millikelvin dilution refrigeration, which precludes the integration of high-speed control logic and limits scalability. This reliance on the 20 mK regime creates a “mainframe constraint” where…
TOPOLOGICAL HYDRODYNAMICS AND THE SPECTRAL GAP
Standard quantum field theory conceptualizes the vacuum as a probabilistic void, yet phenomenological isomorphism with superfluid Helium-3 suggests a deeper hydrodynamic ontology. While this topological substrate theoretically supports analog computation via vorticity, the practical realization is…
Tweezers Magnet
The dominant paradigm in advanced computing, particularly in the quantum domain, relies on the precise external control of individual, fragile information carriers—a particle-centric approach analogous to arranging iron filings with tweezers. This method is fundamentally constrained by its reliance…
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