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- W4321443572 abstract "Affleck-Kennedy-Lieb-Tasaki (AKLT) states are an important class of many-body quantum states that are useful in quantum information processing, including measurement-based quantum computation in particular. Here we propose a general approach for constructing efficient verification protocols for AKLT states on arbitrary graphs with local spin measurements. Our verification protocols build on bond verification protocols and matching covers (including edge coloring) of the underlying graphs, which have a simple geometric and graphic picture. We also provide rigorous performance guarantee that is required for practical applications. With our approach, most AKLT states of wide interest, including those defined on 1D and 2D lattices, can be verified with a constant sample cost, which is independent of the system size and is dramatically more efficient than all previous approaches. As an illustration, we construct concrete verification protocols for AKLT states on various lattices and on arbitrary graphs up to five vertices." @default.
- W4321443572 created "2023-02-22" @default.
- W4321443572 creator A5041994729 @default.
- W4321443572 creator A5080528204 @default.
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- W4321443572 date "2023-02-21" @default.
- W4321443572 modified "2023-10-16" @default.
- W4321443572 title "Efficient verification of Affleck-Kennedy-Lieb-Tasaki states" @default.
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- W4321443572 doi "https://doi.org/10.1103/physreva.107.022616" @default.
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