dorsal/arxiv
View SchemaSimulation and reversal of n-qubit Hamiltonians using Hadamard matrices
| Authors | D. W. Leung |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107041 |
| URL | https://arxiv.org/abs/quant-ph/0107041 |
| DOI | 10.1080/09500340210133469 |
| Journal | J. Mod. Opt., Vol. 49, No. 8 (2002) p. 1199-1217 |
Abstract
The ability to simulate one Hamiltonian with another is an important primitive in quantum information processing. In this paper, a simulation method for arbitrary $\sigma_z \otimes \sigma_z$ interaction based on Hadamard matrices (quant-ph/9904100) is generalized for any pairwise interaction. We describe two applications of the generalized framework. First, we obtain a class of protocols for selecting an arbitrary interaction term in an n-qubit Hamiltonian. This class includes the scheme given in quant-ph/0106064v2. Second, we obtain a class of protocols for inverting an arbitrary, possibly unknown n-qubit Hamiltonian, generalizing the result in quant-ph/0106085v1.
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"abstract": "The ability to simulate one Hamiltonian with another is an important\nprimitive in quantum information processing. In this paper, a simulation method\nfor arbitrary $\\sigma_z \\otimes \\sigma_z$ interaction based on Hadamard\nmatrices (quant-ph/9904100) is generalized for any pairwise interaction. We\ndescribe two applications of the generalized framework. First, we obtain a\nclass of protocols for selecting an arbitrary interaction term in an n-qubit\nHamiltonian. This class includes the scheme given in quant-ph/0106064v2.\nSecond, we obtain a class of protocols for inverting an arbitrary, possibly\nunknown n-qubit Hamiltonian, generalizing the result in quant-ph/0106085v1.",
"arxiv_id": "quant-ph/0107041",
"authors": [
"D. W. Leung"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340210133469",
"journal_ref": "J. Mod. Opt., Vol. 49, No. 8 (2002) p. 1199-1217",
"title": "Simulation and reversal of n-qubit Hamiltonians using Hadamard matrices",
"url": "https://arxiv.org/abs/quant-ph/0107041"
},
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