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Article overview
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Functional completeness of planar Rydberg structures | Simon Stastny
; Hans Peter Büchler
; Nicolai Lang
; | Date: |
4 Jan 2023 | Abstract: | The construction of Hilbert spaces that are characterized by local
constraints as the low-energy sectors of microscopic models is an important
step towards the realization of a wide range of quantum phases with long-range
entanglement and emergent gauge fields. Here we show that planar structures of
trapped atoms in the Rydberg blockade regime are functionally complete: Their
ground state manifold can realize any Hilbert space that can be characterized
by local constraints in the product basis. We introduce a versatile framework,
together with a set of provably minimal logic primitives as building blocks, to
implement these constraints. As examples, we present lattice realizations of
the string-net Hilbert spaces that underlie the surface code and the Fibonacci
anyon model. We discuss possible optimizations of planar Rydberg structures to
increase their geometrical robustness. | Source: | arXiv, 2301.01508 | Services: | Forum | Review | PDF | Favorites |
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