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.
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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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