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Abstract

Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. However, we prove that the entire physics of any quantum many-body system can be replicated by certain simple, “universal” spin-lattice models. We first characterize precisely what it means for one quantum system to simulate the entire physics of another. We then fully classify the simulation power of all two-qubit interactions, thereby proving that certain simple models can simulate all others, and hence are universal. Our results put the practical field of analogue Hamiltonian simulation on a rigorous footing and take a step toward justifying why error correction may not be required for this application of quantum information technology.

Original languageEnglish
Pages (from-to)9497-9502
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume115
Issue number38
Early online date30 Aug 2018
DOIs
Publication statusPublished - 18 Sep 2018

Structured keywords

  • Bristol Quantum Information Institute

Keywords

  • Hamiltonian complexity
  • Many-body physics
  • Quantum information theory
  • Quantum simulation

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