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Geometry and complexity scaling

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The study of complexity of unitary transformations has become central to quantum information theory and, increasingly, quantum field theory and quantum gravity. A proof of how complexity grows with system size demonstrates the power of a geometric approach.

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Fig. 1: A single-qubit quantum circuit.

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Correspondence to Michal P. Heller.

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Heller, M.P. Geometry and complexity scaling. Nat. Phys. 19, 312–313 (2023). https://doi.org/10.1038/s41567-023-01955-2

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