dorsal/arxiv
View SchemaRemote State Preparation without Oblivious Conditions
| Authors | A. Hayashi, T. Hashimoto, M. Horibe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205009 |
| URL | https://arxiv.org/abs/quant-ph/0205009 |
| DOI | 10.1103/PhysRevA.67.052302 |
| Journal | Phys. Rev. A 67, 052302-1 (2003) |
Abstract
In quantum teleportation, neither Alice nor Bob acquires any classical knowledge on teleported states. The teleportation protocol is said to be oblivious to both parties. In remote state preparation (RSP) it is assumed that Alice is given complete classical knowledge on the state that is to be prepared by Bob. Recently, Leung and Shor showed that the same amount of classical information as that in teleportation needs to be transmitted in any exact and deterministic RSP protocol that is oblivious to Bob. We study similar RSP protocols, but not necessarily oblivious to Bob. First it is shown that Bob's quantum operation can be safely assumed to be a unitary transformation. We then derive an equation that is a necessary and sufficient condition for such a protocol to exist. By studying this equation, we show that one qubit RSP requires 2 cbits of classical communication, which is the same amount as in teleportation, even if the protocol is not assumed oblivious to Bob. For higher dimensions, it is still open whether the amount of classical communication can be reduced by abandoning oblivious conditions.
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"abstract": "In quantum teleportation, neither Alice nor Bob acquires any classical\nknowledge on teleported states. The teleportation protocol is said to be\noblivious to both parties. In remote state preparation (RSP) it is assumed that\nAlice is given complete classical knowledge on the state that is to be prepared\nby Bob. Recently, Leung and Shor showed that the same amount of classical\ninformation as that in teleportation needs to be transmitted in any exact and\ndeterministic RSP protocol that is oblivious to Bob. We study similar RSP\nprotocols, but not necessarily oblivious to Bob. First it is shown that Bob\u0027s\nquantum operation can be safely assumed to be a unitary transformation. We then\nderive an equation that is a necessary and sufficient condition for such a\nprotocol to exist. By studying this equation, we show that one qubit RSP\nrequires 2 cbits of classical communication, which is the same amount as in\nteleportation, even if the protocol is not assumed oblivious to Bob. For higher\ndimensions, it is still open whether the amount of classical communication can\nbe reduced by abandoning oblivious conditions.",
"arxiv_id": "quant-ph/0205009",
"authors": [
"A. Hayashi",
"T. Hashimoto",
"M. Horibe"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.052302",
"journal_ref": "Phys. Rev. A 67, 052302-1 (2003)",
"title": "Remote State Preparation without Oblivious Conditions",
"url": "https://arxiv.org/abs/quant-ph/0205009"
},
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