dorsal/arxiv
View SchemaEntanglement Purification of Any Stabilizer State
| Authors | S. Glancy, E. Knill, H. M. Vasconcelos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606125 |
| URL | https://arxiv.org/abs/quant-ph/0606125 |
| DOI | 10.1103/PhysRevA.74.032319 |
| Journal | Phys. Rev. A 74, 032319 (2006) |
Abstract
We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum error-correcting code on his or her qubits. The parties exchange their measurement results, detect or correct errors, and decode the desired purified state. We give sufficient conditions on the stabilizer codes that may be used in this procedure and find that Steane's seven-qubit code is the smallest error-correcting code sufficient to purify any stabilizer state. An error-detecting code that encodes two qubits in six can also be used to purify any stabilizer state. We further specify which classes of stabilizer codes can purify which classes of stabilizer states.
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"abstract": "We present a method for multipartite entanglement purification of any\nstabilizer state shared by several parties. In our protocol each party measures\nthe stabilizer operators of a quantum error-correcting code on his or her\nqubits. The parties exchange their measurement results, detect or correct\nerrors, and decode the desired purified state. We give sufficient conditions on\nthe stabilizer codes that may be used in this procedure and find that Steane\u0027s\nseven-qubit code is the smallest error-correcting code sufficient to purify any\nstabilizer state. An error-detecting code that encodes two qubits in six can\nalso be used to purify any stabilizer state. We further specify which classes\nof stabilizer codes can purify which classes of stabilizer states.",
"arxiv_id": "quant-ph/0606125",
"authors": [
"S. Glancy",
"E. Knill",
"H. M. Vasconcelos"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.032319",
"journal_ref": "Phys. Rev. A 74, 032319 (2006)",
"title": "Entanglement Purification of Any Stabilizer State",
"url": "https://arxiv.org/abs/quant-ph/0606125"
},
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