dorsal/arxiv
View SchemaFew-body spin couplings and their implications for universal quantum computation
| Authors | Ryan Woodworth, Ari Mizel, Daniel A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504165 |
| URL | https://arxiv.org/abs/quant-ph/0504165 |
| DOI | 10.1088/0953-8984/18/21/S02 |
| Journal | J. Phys. Cond. Mat. 18, S721 (2006) |
Abstract
Electron spins in semiconductor quantum dots are promising candidates for the experimental realization of solid-state qubits. We analyze the dynamics of a system of three qubits arranged in a linear geometry and a system of four qubits arranged in a square geometry. Calculations are performed for several quantum dot confining potentials. In the three-qubit case, three-body effects are identified that have an important quantitative influence upon quantum computation. In the four-qubit case, the full Hamiltonian is found to include both three-body and four-body interactions that significantly influence the dynamics in physically relevant parameter regimes. We consider the implications of these results for the encoded universality paradigm applied to the four-electron qubit code; in particular, we consider what is required to circumvent the four-body effects in an encoded system (four spins per encoded qubit) by the appropriate tuning of experimental parameters.
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"abstract": "Electron spins in semiconductor quantum dots are promising candidates for the\nexperimental realization of solid-state qubits. We analyze the dynamics of a\nsystem of three qubits arranged in a linear geometry and a system of four\nqubits arranged in a square geometry. Calculations are performed for several\nquantum dot confining potentials. In the three-qubit case, three-body effects\nare identified that have an important quantitative influence upon quantum\ncomputation. In the four-qubit case, the full Hamiltonian is found to include\nboth three-body and four-body interactions that significantly influence the\ndynamics in physically relevant parameter regimes. We consider the implications\nof these results for the encoded universality paradigm applied to the\nfour-electron qubit code; in particular, we consider what is required to\ncircumvent the four-body effects in an encoded system (four spins per encoded\nqubit) by the appropriate tuning of experimental parameters.",
"arxiv_id": "quant-ph/0504165",
"authors": [
"Ryan Woodworth",
"Ari Mizel",
"Daniel A. Lidar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-8984/18/21/S02",
"journal_ref": "J. Phys. Cond. Mat. 18, S721 (2006)",
"title": "Few-body spin couplings and their implications for universal quantum computation",
"url": "https://arxiv.org/abs/quant-ph/0504165"
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