dorsal/arxiv
View SchemaLimitations of Quantum Simulation Examined by Simulating a Pairing Hamiltonian using Nuclear Magnetic Resonance
| Authors | Kenneth R. Brown, Robert J. Clark, Isaac L. Chuang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601021 |
| URL | https://arxiv.org/abs/quant-ph/0601021 |
| DOI | 10.1103/PhysRevLett.97.050504 |
Abstract
Quantum simulation uses a well-known quantum system to predict the behavior of another quantum system. Certain limitations in this technique arise, however, when applied to specific problems, as we demonstrate with a theoretical and experimental study of an algorithm to find the low-lying spectrum of a Hamiltonian. While the number of elementary quantum gates does scale polynomially with the size of the system, it increases inversely to the desired error bound $\epsilon$. Making such simulations robust to decoherence using fault-tolerance constructs requires an additional factor of $1/ \epsilon$ gates. These constraints are illustrated by using a three qubit nuclear magnetic resonance system to simulate a pairing Hamiltonian, following the algorithm proposed by Wu, Byrd, and Lidar.
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"abstract": "Quantum simulation uses a well-known quantum system to predict the behavior\nof another quantum system. Certain limitations in this technique arise,\nhowever, when applied to specific problems, as we demonstrate with a\ntheoretical and experimental study of an algorithm to find the low-lying\nspectrum of a Hamiltonian. While the number of elementary quantum gates does\nscale polynomially with the size of the system, it increases inversely to the\ndesired error bound $\\epsilon$. Making such simulations robust to decoherence\nusing fault-tolerance constructs requires an additional factor of $1/ \\epsilon$\ngates. These constraints are illustrated by using a three qubit nuclear\nmagnetic resonance system to simulate a pairing Hamiltonian, following the\nalgorithm proposed by Wu, Byrd, and Lidar.",
"arxiv_id": "quant-ph/0601021",
"authors": [
"Kenneth R. Brown",
"Robert J. Clark",
"Isaac L. Chuang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.97.050504",
"title": "Limitations of Quantum Simulation Examined by Simulating a Pairing Hamiltonian using Nuclear Magnetic Resonance",
"url": "https://arxiv.org/abs/quant-ph/0601021"
},
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