Undecidability in tensor network states

Jason Morton, Jacob Biamonte

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Recent work has examined how undecidable problems can arise in quantum-information science. We augment this by introducing three undecidable problems stated in terms of tensor networks. These relate to ideas of Penrose about the physicality of a spin network representing a physical process, closed timelike curves, and Boolean relation theory. Seemingly slight modifications of the constraints on the topology or the tensor families generating the networks lead to problems that transition from decidable to undecidable to even always satisfiable.

Original languageEnglish
Article number030301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume86
Issue number3
DOIs
Publication statusPublished - 10 Sep 2012
Externally publishedYes

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