dorsal/arxiv
View SchemaEntanglement, Information and Multiparticle Quantum Operations
| Authors | Anthony Chefles, Claire R. Gilson, Stephen M. Barnett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006106 |
| URL | https://arxiv.org/abs/quant-ph/0006106 |
| DOI | 10.1103/PhysRevA.63.032314 |
Abstract
Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate classical information and establish entanglement between distant parties. We show how these facts lead to measures of the inseparability of quantum operations, and argue that a maximally-inseparable operation on 2 qubits is the SWAP operation. The generalisation of our argument to N qubit operations leads to the conclusion that permutation operations are maximally-inseparable. For even N, we find the minimum SE and CC resources which are sufficient to perform an arbitrary collective operation. These minimum resources are 2(N-1) ebits and 4(N-1) bits, and these limits can be attained using a simple teleportation-based protocol. We also obtain lower bounds on the minimum resources for the odd case. For all $N{\geq}4$, we show that the SE/CC resources required to perform an arbitrary operation are strictly greater than those that any operation can establish/communicate.
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"abstract": "Collective operations on a network of spatially-separated quantum systems can\nbe carried out using local quantum (LQ) operations, classical communication\n(CC) and shared entanglement (SE). Such operations can also be used to\ncommunicate classical information and establish entanglement between distant\nparties. We show how these facts lead to measures of the inseparability of\nquantum operations, and argue that a maximally-inseparable operation on 2\nqubits is the SWAP operation. The generalisation of our argument to N qubit\noperations leads to the conclusion that permutation operations are\nmaximally-inseparable. For even N, we find the minimum SE and CC resources\nwhich are sufficient to perform an arbitrary collective operation. These\nminimum resources are 2(N-1) ebits and 4(N-1) bits, and these limits can be\nattained using a simple teleportation-based protocol. We also obtain lower\nbounds on the minimum resources for the odd case. For all $N{\\geq}4$, we show\nthat the SE/CC resources required to perform an arbitrary operation are\nstrictly greater than those that any operation can establish/communicate.",
"arxiv_id": "quant-ph/0006106",
"authors": [
"Anthony Chefles",
"Claire R. Gilson",
"Stephen M. Barnett"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.032314",
"title": "Entanglement, Information and Multiparticle Quantum Operations",
"url": "https://arxiv.org/abs/quant-ph/0006106"
},
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