dorsal/arxiv
View SchemaThe states of W-class as shared resources for perfect teleportation and superdense coding
| Authors | Lvzhou Li, Daowen Qiu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701030 |
| URL | https://arxiv.org/abs/quant-ph/0701030 |
| DOI | 10.1088/1751-8113/40/35/010 |
| Journal | Journal of Physics A: Math. Theor. 40 (2007) 10871-10885. |
Abstract
As we know, the states of triqubit systems have two important classes: GHZ-class and W-class. In this paper, the states of W-class are considered for teleportation and superdense coding, and are generalized to multi-particle systems. First we describe two transformations of the shared resources for teleportation and superdense coding, which allow many new protocols from some known ones for that. As an application of these transformations, we obtain a sufficient and necessary condition for a state of W-class being suitable for perfect teleportation and superdense coding. As another application, we find that state $|W>_{123}={1/2}(|100>_{123}+|010>_{123}+\sqrt{2}|001>_{123})$ can be used to transmit three classical bits by sending two qubits, which was considered to be impossible by P. Agrawal and A. Pati [Phys. Rev. A to be published]. We generalize the states of W-class to multi-qubit systems and multi-particle systems with higher dimension. We propose two protocols for teleportation and superdense coding by using W-states of multi-qubit systems that generalize the protocols by using $|W>_{123}$ proposed by P. Agrawal and A. Pati. We obtain an optimal way to partition some W-states of multi-qubit systems into two subsystems, such that the entanglement between them achieves maximum value.
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"abstract": "As we know, the states of triqubit systems have two important classes:\nGHZ-class and W-class.\n In this paper, the states of W-class are considered for teleportation and\nsuperdense coding, and are generalized to multi-particle systems. First we\ndescribe two transformations of the shared resources for teleportation and\nsuperdense coding, which allow many new protocols from some known ones for\nthat. As an application of these transformations, we obtain a sufficient and\nnecessary condition for a state of W-class being suitable for perfect\nteleportation and superdense coding. As another application, we find that state\n $|W\u003e_{123}={1/2}(|100\u003e_{123}+|010\u003e_{123}+\\sqrt{2}|001\u003e_{123})$ can be used to\ntransmit three classical bits by sending two qubits, which was considered to be\nimpossible by P. Agrawal and A. Pati [Phys. Rev. A to be published]. We\ngeneralize the states of W-class to multi-qubit systems and multi-particle\nsystems with higher dimension. We propose two protocols for teleportation and\nsuperdense coding by using W-states of multi-qubit systems that generalize the\nprotocols by using $|W\u003e_{123}$ proposed by P. Agrawal and A. Pati. We obtain an\noptimal way to partition some W-states of multi-qubit systems into two\nsubsystems, such that the entanglement between them achieves maximum value.",
"arxiv_id": "quant-ph/0701030",
"authors": [
"Lvzhou Li",
"Daowen Qiu"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/35/010",
"journal_ref": "Journal of Physics A: Math. Theor. 40 (2007) 10871-10885.",
"title": "The states of W-class as shared resources for perfect teleportation and superdense coding",
"url": "https://arxiv.org/abs/quant-ph/0701030"
},
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