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Universal quantum Hamiltonians

Cubitt, TS; Montanaro, A; Piddock, S; (2018) Universal quantum Hamiltonians. Proceedings of the National Academy of Sciences of the United States of America , 115 (38) pp. 9497-9502. 10.1073/pnas.1804949115. Green open access

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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.

Type: Article
Title: Universal quantum Hamiltonians
Open access status: An open access version is available from UCL Discovery
DOI: 10.1073/pnas.1804949115
Publisher version: https://doi.org/10.1073/pnas.1804949115
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: quantum information theory; quantum simulation; many-body physics; Hamiltonian complexity
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1540579
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