dorsal/arxiv
View SchemaFinite set of invariants to characterize local Clifford equivalence of stabilizer states
| Authors | M. Van den Nest, J. Dehaene, B. De Moor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410165 |
| URL | https://arxiv.org/abs/quant-ph/0410165 |
| DOI | 10.1103/PhysRevA.72.014307 |
| Journal | Phys. Rev. A 72, 014307 (2005) |
Abstract
The classification of stabilizer states under local Clifford (LC) equivalence is of particular importance in quantum error-correction and measurement-based quantum computation. Two stabilizer states are called LC equivalent if there exists a local Clifford operation which maps the first state to the second. We present a finite set of invariants which completely characterizes the LC equivalence class of any stabilizer state. Our invariants have simple descriptions within the binary framework in which stabilizer states are usually described.
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"abstract": "The classification of stabilizer states under local Clifford (LC) equivalence\nis of particular importance in quantum error-correction and measurement-based\nquantum computation. Two stabilizer states are called LC equivalent if there\nexists a local Clifford operation which maps the first state to the second. We\npresent a finite set of invariants which completely characterizes the LC\nequivalence class of any stabilizer state. Our invariants have simple\ndescriptions within the binary framework in which stabilizer states are usually\ndescribed.",
"arxiv_id": "quant-ph/0410165",
"authors": [
"M. Van den Nest",
"J. Dehaene",
"B. De Moor"
],
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"doi": "10.1103/PhysRevA.72.014307",
"journal_ref": "Phys. Rev. A 72, 014307 (2005)",
"title": "Finite set of invariants to characterize local Clifford equivalence of stabilizer states",
"url": "https://arxiv.org/abs/quant-ph/0410165"
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