Projects per year
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 language | English |
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Pages (from-to) | 9497-9502 |
Number of pages | 6 |
Journal | Proceedings of the National Academy of Sciences of the United States of America |
Volume | 115 |
Issue number | 38 |
Early online date | 30 Aug 2018 |
DOIs | |
Publication status | Published - 18 Sept 2018 |
Research Groups and Themes
- Bristol Quantum Information Institute
Keywords
- Hamiltonian complexity
- Many-body physics
- Quantum information theory
- Quantum simulation
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Dive into the research topics of 'Universal quantum Hamiltonians'. Together they form a unique fingerprint.Projects
- 2 Finished
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New insights in quantum algorithms and complexity
Montanaro, A. M. R. (Principal Investigator)
31/07/14 → 30/06/20
Project: Research
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New insights in quantum algorithms and complexity
Montanaro, A. M. R. (Principal Investigator)
31/07/14 → 30/07/19
Project: Research