Quantum weight enumerators and tensor networks
| Autor: | Cao, ChunJun, Lackey, Brad |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We examine the use of weight enumerators for analyzing tensor network constructions, and specifically the quantum lego framework recently introduced. We extend the notion of quantum weight enumerators to so-called tensor enumerators, and prove that the trace operation on tensor networks is compatible with a trace operation on tensor enumerators. This allows us to compute quantum weight enumerators of larger codes such as the ones constructed through tensor network methods more efficiently. We also provide a general framework for quantum MacWilliams identities that includes tensor enumerators as a special case. Comment: 15 pages, 3 figures. Sets up the tensor enumerator formalism |
| Databáze: | arXiv |
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