dorsal/arxiv
View SchemaOn the structure of the sets of mutually unbiased bases for N qubits
| Authors | J. L. Romero, G. Bjork, A. B. Klimov, L. L. Sanchez-Soto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508129 |
| URL | https://arxiv.org/abs/quant-ph/0508129 |
| DOI | 10.1103/PhysRevA.72.062310 |
Abstract
For a system of N qubits, spanning a Hilbert space of dimension d=2^N, it is known that there exists d+1 mutually unbiased bases. Different construction algorithms exist, and it is remarkable that different methods lead to sets of bases with different properties as far as separability is concerned. Here we derive the four sets of nine bases for three qubits, and show how they are unitarily related. We also briefly discuss the four-qubit case, give the entanglement structure of sixteen sets of bases,and show some of them, and their interrelations, as examples. The extension of the method to the general case of N qubits is outlined.
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"abstract": "For a system of N qubits, spanning a Hilbert space of dimension d=2^N, it is\nknown that there exists d+1 mutually unbiased bases. Different construction\nalgorithms exist, and it is remarkable that different methods lead to sets of\nbases with different properties as far as separability is concerned. Here we\nderive the four sets of nine bases for three qubits, and show how they are\nunitarily related. We also briefly discuss the four-qubit case, give the\nentanglement structure of sixteen sets of bases,and show some of them, and\ntheir interrelations, as examples. The extension of the method to the general\ncase of N qubits is outlined.",
"arxiv_id": "quant-ph/0508129",
"authors": [
"J. L. Romero",
"G. Bjork",
"A. B. Klimov",
"L. L. Sanchez-Soto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.062310",
"title": "On the structure of the sets of mutually unbiased bases for N qubits",
"url": "https://arxiv.org/abs/quant-ph/0508129"
},
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