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The article details a novel application of ZX-calculus to construct quantum many-body states based on fractal geometries like the Sierpiński triangle and carpet, offering new insights into entanglement scaling laws within chaotic energy spectra. This work advances fundamental understanding in quantum simulation by demonstrating how diagrammatic identities can be used for Hamiltonian inverse design rather than just circuit manipulation.
Oxford Scientist Builds Many-Body States Using ZX-Calculus Designs

Using ZX-calculus, researchers designed Hamiltonians hosting fractal many-body states—specifically, those based on the Sierpiński triangle and carpet.
Marcin Szyniszewski has developed a method for building quantum many-body states directly from the geometry of fractals, using a diagrammatic language called ZX-calculus. The work introduces families of states derived from…
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