Quantum Gate Design Metric

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dc.creatorKhaneja, Navin
dc.creatorHeitmann, Bjoern
dc.creatorSpoerl, Andreas
dc.creatorYuan, Haidong
dc.creatorSchulte-Herbrueggen, Thomas
dc.creatorGlaser, Steffen J.
dc.date2006-05-07
dc.date.accessioned2026-07-07T07:15:17Z
dc.date.available2026-07-07T07:15:17Z
dc.descriptionWhat is the time-optimal way of realizing quantum operations? Here, we show how important instances of this problem can be related to the study of shortest paths on the surface of a sphere under a special metric. Specifically, we provide an efficient synthesis of a controlled NOT (CNOT) gate between qubits coupled indirectly via Ising-type couplings to a third spin. Our implementation of the CNOT gate is more than twice as fast as conventional approaches. The pulse sequences for efficient manipulation of our coupled spin system are obtained by explicit computation of geodesics on a sphere under the special metric. These methods are also used for the efficient synthesis of indirect couplings and of the Toffoli gate. We provide experimental realizations of the presented methods on a linear three-spin chain with Ising couplings.
dc.identifierhttps://arxiv.org/abs/quant-ph/0605071
dc.identifierhttp://arxiv.org/abs/quant-ph/0605071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113208
dc.subjectQuantum Physics
dc.titleQuantum Gate Design Metric
dc.typetext

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