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We investigate the behaviour of Krylov complexity as the number of degrees of freedom of a quantum system increases. Specifically, we show that for tensor products of commuting subsystems, the leading excess complexity is controlled by a weighted variance of the subsystem Lanczos coefficients.
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Journal of High Energy Physics, Jan 2023 This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007/JHEP01(2023)120.pdf Caputa, Pawel, Gupta, Nitin, Haque, S. Shajidul, Liu, Sinong, Murugan, Jeff, Van Zyl, Hendrik J. R.. , Journal of High Energy Physics, 2023, pp. 1-30, Volume 2023, Issue 1, DOI: 10.1007/JHEP01(2023)120
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