dorsal/arxiv
View SchemaUniversal Simulation of Hamiltonians Using a Finite Set of Control Operations
| Authors | Pawel Wocjan, Martin Roetteler, Dominik Janzing, Thomas Beth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109063 |
| URL | https://arxiv.org/abs/quant-ph/0109063 |
| Journal | Quantum Information & Computation 2(2): 133-150, 2002 |
Abstract
Any quantum system with a non-trivial Hamiltonian is able to simulate any other Hamiltonian evolution provided that a sufficiently large group of unitary control operations is available. We show that there exist finite groups with this property and present a sufficient condition in terms of group characters. We give examples of such groups in dimension 2 and 3. Furthermore, we show that it is possible to simulate an arbitrary bipartite interaction by a given one using such groups acting locally on the subsystems.
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"abstract": "Any quantum system with a non-trivial Hamiltonian is able to simulate any\nother Hamiltonian evolution provided that a sufficiently large group of unitary\ncontrol operations is available. We show that there exist finite groups with\nthis property and present a sufficient condition in terms of group characters.\nWe give examples of such groups in dimension 2 and 3. Furthermore, we show that\nit is possible to simulate an arbitrary bipartite interaction by a given one\nusing such groups acting locally on the subsystems.",
"arxiv_id": "quant-ph/0109063",
"authors": [
"Pawel Wocjan",
"Martin Roetteler",
"Dominik Janzing",
"Thomas Beth"
],
"categories": [
"quant-ph",
"cs.ET"
],
"journal_ref": "Quantum Information \u0026 Computation 2(2): 133-150, 2002",
"title": "Universal Simulation of Hamiltonians Using a Finite Set of Control Operations",
"url": "https://arxiv.org/abs/quant-ph/0109063"
},
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