dorsal/arxiv
View SchemaArtificial Orbitals and a Solution to Grover's Problem
| Authors | Michael Stay |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010065 |
| URL | https://arxiv.org/abs/quant-ph/0010065 |
Abstract
By allowing measurements of observables other than the state of the qubits in a quantum computer, one can find eigenvectors very quickly. If a unitary operation U is implemented as a time-independent Hamiltonian, for instance, one can collapse the state of the computer to a nearby eigenvector of U with a measurement of the energy. We examine some recent proposals for quantum computation using time-independent Hamiltonians and show how to convert them into ``artificial orbitals'' whose energy eigenstates match those of U. This system can be used to find eigenvectors and eigenvalues with a single measurement. We apply this technique to Grover's algorithm and the continuous variant proposed by Farhi and Gutmann.
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"abstract": "By allowing measurements of observables other than the state of the qubits in\na quantum computer, one can find eigenvectors very quickly. If a unitary\noperation U is implemented as a time-independent Hamiltonian, for instance, one\ncan collapse the state of the computer to a nearby eigenvector of U with a\nmeasurement of the energy. We examine some recent proposals for quantum\ncomputation using time-independent Hamiltonians and show how to convert them\ninto ``artificial orbitals\u0027\u0027 whose energy eigenstates match those of U. This\nsystem can be used to find eigenvectors and eigenvalues with a single\nmeasurement. We apply this technique to Grover\u0027s algorithm and the continuous\nvariant proposed by Farhi and Gutmann.",
"arxiv_id": "quant-ph/0010065",
"authors": [
"Michael Stay"
],
"categories": [
"quant-ph"
],
"title": "Artificial Orbitals and a Solution to Grover\u0027s Problem",
"url": "https://arxiv.org/abs/quant-ph/0010065"
},
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