dorsal/arxiv
View SchemaTreating the Independent Set Problem by 2D Ising Interactions with Adiabatic Quantum Computing
| Authors | Pawel Wocjan, Dominik Janzing, Thomas Beth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302027 |
| URL | https://arxiv.org/abs/quant-ph/0302027 |
Abstract
We construct a nearest-neighbor Hamiltonian whose ground states encode the solutions to the NP-complete problem INDEPENDENT SET in cubic planar graphs. The Hamiltonian can be easily simulated by Ising interactions between adjacent particles on a 2D rectangular lattice. We describe the required pulse sequences. Our methods could help to implement adiabatic quantum computing by physically reasonable Hamiltonians like short-range interactions.
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"abstract": "We construct a nearest-neighbor Hamiltonian whose ground states encode the\nsolutions to the NP-complete problem INDEPENDENT SET in cubic planar graphs.\nThe Hamiltonian can be easily simulated by Ising interactions between adjacent\nparticles on a 2D rectangular lattice. We describe the required pulse\nsequences. Our methods could help to implement adiabatic quantum computing by\nphysically reasonable Hamiltonians like short-range interactions.",
"arxiv_id": "quant-ph/0302027",
"authors": [
"Pawel Wocjan",
"Dominik Janzing",
"Thomas Beth"
],
"categories": [
"quant-ph"
],
"title": "Treating the Independent Set Problem by 2D Ising Interactions with Adiabatic Quantum Computing",
"url": "https://arxiv.org/abs/quant-ph/0302027"
},
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