dorsal/arxiv
View SchemaSemicausal operations are semilocalizable
| Authors | T. Eggeling, D. Schlingemann, R. F. Werner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104027 |
| URL | https://arxiv.org/abs/quant-ph/0104027 |
| DOI | 10.1209/epl/i2002-00579-4 |
Abstract
We prove a conjecture by DiVincenzo, which in the terminology of Preskill et al. [quant-ph/0102043] states that ``semicausal operations are semilocalizable''. That is, we show that any operation on the combined system of Alice and Bob, which does not allow Bob to send messages to Alice, can be represented as an operation by Alice, transmitting a quantum particle to Bob, and a local operation by Bob. The proof is based on the uniqueness of the Stinespring representation for a completely positive map. We sketch some of the problems in transferring these concepts to the context of relativistic quantum field theory.
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"abstract": "We prove a conjecture by DiVincenzo, which in the terminology of Preskill et\nal. [quant-ph/0102043] states that ``semicausal operations are\nsemilocalizable\u0027\u0027. That is, we show that any operation on the combined system\nof Alice and Bob, which does not allow Bob to send messages to Alice, can be\nrepresented as an operation by Alice, transmitting a quantum particle to Bob,\nand a local operation by Bob. The proof is based on the uniqueness of the\nStinespring representation for a completely positive map. We sketch some of the\nproblems in transferring these concepts to the context of relativistic quantum\nfield theory.",
"arxiv_id": "quant-ph/0104027",
"authors": [
"T. Eggeling",
"D. Schlingemann",
"R. F. Werner"
],
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"quant-ph"
],
"doi": "10.1209/epl/i2002-00579-4",
"title": "Semicausal operations are semilocalizable",
"url": "https://arxiv.org/abs/quant-ph/0104027"
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