Kindergarden quantum mechanics graduates ...or how I learned to stop gluing LEGO together and love the ZX-calculus

نویسندگان

چکیده

This paper is a ‘spiritual child’ of the 2005 lecture notes Kindergarten Quantum Mechanics Coecke (2005) [24], which showed how simple, pictorial extension Dirac notation allowed several quantum features to be easily expressed and derived, using language even kindergartner can understand. Central that approach was use pictures transformation rules understand derive theory computation. However, this left many wondering ‘where's beef?’ In other words, new capable producing results, or it simply an aesthetically pleasing way restate stuff we already know? The aim sequel say ‘here's beef!’, highlight some major results advocated in Mechanics, they are being applied tackle practical problems on real computers. Toward end, will focus mainly what has become Swiss army knife formalism: ZX-calculus, graphical tool for representing manipulating complex linear maps 2N dimensional space. First look at ideas behind comparing contrasting with usual circuit formalism. We then survey from past few years falling into three categories: (1) completeness (2) state-of-the-art optimisation commercial open-source compilers relying ZX, (3) ZX translating real-world like natural circuits run today's (very limited) hardware. also take title literally, outline ongoing experiment aiming show ZX-calculus enables children do cutting-edge computing stuff. If anything, would truly confirm ‘kindergarten mechanics’ wasn't just joke.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2022

ISSN: ['1879-2294', '0304-3975']

DOI: https://doi.org/10.1016/j.tcs.2021.07.024