dorsal/arxiv
View SchemaCharacterization of non-local gates
| Authors | K. Hammerer, G. Vidal, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205100 |
| URL | https://arxiv.org/abs/quant-ph/0205100 |
| DOI | 10.1103/PhysRevA.66.062321 |
| Journal | Phys. Rev. A 66, 062321 (2002) |
Abstract
A non-local unitary transformation of two qubits occurs when some Hamiltonian interaction couples them. Here we characterize the amount, as measured by time, of interaction required to perform two--qubit gates, when also arbitrarily fast, local unitary transformations can be applied on each qubit. The minimal required time of interaction, or interaction cost, defines an operational notion of the degree of non--locality of gates. We characterize a partial order structure based on this notion. We also investigate the interaction cost of several communication tasks, and determine which gates are able to accomplish them. This classifies two--qubit gates into four categories, differing in their capability to transmit classical, as well as quantum, bits of information.
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"abstract": "A non-local unitary transformation of two qubits occurs when some Hamiltonian\ninteraction couples them. Here we characterize the amount, as measured by time,\nof interaction required to perform two--qubit gates, when also arbitrarily\nfast, local unitary transformations can be applied on each qubit. The minimal\nrequired time of interaction, or interaction cost, defines an operational\nnotion of the degree of non--locality of gates. We characterize a partial order\nstructure based on this notion. We also investigate the interaction cost of\nseveral communication tasks, and determine which gates are able to accomplish\nthem. This classifies two--qubit gates into four categories, differing in their\ncapability to transmit classical, as well as quantum, bits of information.",
"arxiv_id": "quant-ph/0205100",
"authors": [
"K. Hammerer",
"G. Vidal",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.062321",
"journal_ref": "Phys. Rev. A 66, 062321 (2002)",
"title": "Characterization of non-local gates",
"url": "https://arxiv.org/abs/quant-ph/0205100"
},
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