dorsal/arxiv
View SchemaLocal unitary versus local Clifford equivalence of stabilizer states
| Authors | M. Van den Nest, J. Dehaene, B. De Moor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411115 |
| URL | https://arxiv.org/abs/quant-ph/0411115 |
| DOI | 10.1103/PhysRevA.71.062323 |
| Journal | Phys. Rev. A 71, 062323 (2005) |
Abstract
We study the relation between local unitary (LU) equivalence and local Clifford (LC) equivalence of stabilizer states. We introduce a large subclass of stabilizer states, such that every two LU equivalent states in this class are necessarily LC equivalent. Together with earlier results, this shows that LC, LU and SLOCC equivalence are the same notions for this class of stabilizer states. Moreover, recognizing whether two given stabilizer states in the present subclass are locally equivalent only requires a polynomial number of operations in the number of qubits.
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"abstract": "We study the relation between local unitary (LU) equivalence and local\nClifford (LC) equivalence of stabilizer states. We introduce a large subclass\nof stabilizer states, such that every two LU equivalent states in this class\nare necessarily LC equivalent. Together with earlier results, this shows that\nLC, LU and SLOCC equivalence are the same notions for this class of stabilizer\nstates. Moreover, recognizing whether two given stabilizer states in the\npresent subclass are locally equivalent only requires a polynomial number of\noperations in the number of qubits.",
"arxiv_id": "quant-ph/0411115",
"authors": [
"M. Van den Nest",
"J. Dehaene",
"B. De Moor"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.71.062323",
"journal_ref": "Phys. Rev. A 71, 062323 (2005)",
"title": "Local unitary versus local Clifford equivalence of stabilizer states",
"url": "https://arxiv.org/abs/quant-ph/0411115"
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