dorsal/arxiv
View SchemaPrecision characterisation of two-qubit Hamiltonians via entanglement mapping
| Authors | Jared H. Cole, Simon J. Devitt, Lloyd C. L. Hollenberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508229 |
| URL | https://arxiv.org/abs/quant-ph/0508229 |
| DOI | 10.1088/0305-4470/39/47/009 |
| Journal | J. Phys. A: Math. Gen. 39 14649-14658, 2006 |
Abstract
We show that the general Heisenberg Hamiltonian with non-uniform couplings can be characterised by mapping the entanglement it generates as a function of time. Identification of the Hamiltonian in this way is possible as the coefficients of each operator control the oscillation frequencies of the entanglement function. The number of measurements required to achieve a given precision in the Hamiltonian parameters is determined and an efficient measurement strategy designed. We derive the relationship between the number of measurements, the resulting precision and the ultimate discrete error probability generated by a systematic mis-characterisation, when implementing two-qubit gates for quantum computing.
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"abstract": "We show that the general Heisenberg Hamiltonian with non-uniform couplings\ncan be characterised by mapping the entanglement it generates as a function of\ntime. Identification of the Hamiltonian in this way is possible as the\ncoefficients of each operator control the oscillation frequencies of the\nentanglement function. The number of measurements required to achieve a given\nprecision in the Hamiltonian parameters is determined and an efficient\nmeasurement strategy designed. We derive the relationship between the number of\nmeasurements, the resulting precision and the ultimate discrete error\nprobability generated by a systematic mis-characterisation, when implementing\ntwo-qubit gates for quantum computing.",
"arxiv_id": "quant-ph/0508229",
"authors": [
"Jared H. Cole",
"Simon J. Devitt",
"Lloyd C. L. Hollenberg"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/47/009",
"journal_ref": "J. Phys. A: Math. Gen. 39 14649-14658, 2006",
"title": "Precision characterisation of two-qubit Hamiltonians via entanglement mapping",
"url": "https://arxiv.org/abs/quant-ph/0508229"
},
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