dorsal/arxiv
View SchemaQuantum Gate Design Metric
| Authors | Navin Khaneja, Bjoern Heitmann, Andreas Spoerl, Haidong Yuan, Thomas Schulte-Herbrueggen, Steffen J. Glaser |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605071 |
| URL | https://arxiv.org/abs/quant-ph/0605071 |
Abstract
What 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.
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"abstract": "What is the time-optimal way of realizing quantum operations? Here, we show\nhow important instances of this problem can be related to the study of shortest\npaths on the surface of a sphere under a special metric. Specifically, we\nprovide an efficient synthesis of a controlled NOT (CNOT) gate between qubits\ncoupled indirectly via Ising-type couplings to a third spin. Our implementation\nof the CNOT gate is more than twice as fast as conventional approaches. The\npulse sequences for efficient manipulation of our coupled spin system are\nobtained by explicit computation of geodesics on a sphere under the special\nmetric. These methods are also used for the efficient synthesis of indirect\ncouplings and of the Toffoli gate. We provide experimental realizations of the\npresented methods on a linear three-spin chain with Ising couplings.",
"arxiv_id": "quant-ph/0605071",
"authors": [
"Navin Khaneja",
"Bjoern Heitmann",
"Andreas Spoerl",
"Haidong Yuan",
"Thomas Schulte-Herbrueggen",
"Steffen J. Glaser"
],
"categories": [
"quant-ph"
],
"title": "Quantum Gate Design Metric",
"url": "https://arxiv.org/abs/quant-ph/0605071"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "13a37b46-8e76-4fcf-a726-a761c7def2e6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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