dorsal/arxiv
View SchemaOblivious remote state preparation
| Authors | D. W. Leung, P. W. Shor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201008 |
| URL | https://arxiv.org/abs/quant-ph/0201008 |
| DOI | 10.1103/PhysRevLett.90.127905 |
| Journal | Phys. Rev. Lett., Vol. 90 (2003) 127905 |
Abstract
We consider remote state preparation protocols for a set of pure states whose projectors form a basis for operators acting on the input Hilbert space. If a protocol (1) uses only forward communication and entanglement, (2) deterministically prepares an exact copy of the state, and (3) does so obliviously -- without leaking further information about the state to the receiver -- then the protocol can be modified to require from the sender only a single specimen of the state. Furthermore, the original protocol and the modified protocol use the same amount of classical communication. Thus, under the three conditions stated, remote state preparation requires at least as much classical communication as teleportation, as Lo has conjectured [PRA 62 (2000) 012313], which is twice the expected classical communication cost of some existing nonoblivious protocols.
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"abstract": "We consider remote state preparation protocols for a set of pure states whose\nprojectors form a basis for operators acting on the input Hilbert space. If a\nprotocol (1) uses only forward communication and entanglement, (2)\ndeterministically prepares an exact copy of the state, and (3) does so\nobliviously -- without leaking further information about the state to the\nreceiver -- then the protocol can be modified to require from the sender only a\nsingle specimen of the state. Furthermore, the original protocol and the\nmodified protocol use the same amount of classical communication. Thus, under\nthe three conditions stated, remote state preparation requires at least as much\nclassical communication as teleportation, as Lo has conjectured [PRA 62 (2000)\n012313], which is twice the expected classical communication cost of some\nexisting nonoblivious protocols.",
"arxiv_id": "quant-ph/0201008",
"authors": [
"D. W. Leung",
"P. W. Shor"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.90.127905",
"journal_ref": "Phys. Rev. Lett., Vol. 90 (2003) 127905",
"title": "Oblivious remote state preparation",
"url": "https://arxiv.org/abs/quant-ph/0201008"
},
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