dorsal/arxiv
View SchemaA Comment on Fisher Information and Quantum Algorithms
| Authors | J. J. Alvarez, C. Gomez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910115 |
| URL | https://arxiv.org/abs/quant-ph/9910115 |
Abstract
We show that Grover's algorithm defines a geodesic in quantum Hilbert space with the Fubini-Study metric. From statistical point of view Grover's algorithm is characterized by constant Fisher's function. Quantum algorithms changing complexity class as Shor's factorization does not preserve constant Fisher's information. An adiabatic quantum factorization algorithm in non polynomial time is presented to exemplify the result.
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"abstract": "We show that Grover\u0027s algorithm defines a geodesic in quantum Hilbert space\nwith the Fubini-Study metric. From statistical point of view Grover\u0027s algorithm\nis characterized by constant Fisher\u0027s function. Quantum algorithms changing\ncomplexity class as Shor\u0027s factorization does not preserve constant Fisher\u0027s\ninformation. An adiabatic quantum factorization algorithm in non polynomial\ntime is presented to exemplify the result.",
"arxiv_id": "quant-ph/9910115",
"authors": [
"J. J. Alvarez",
"C. Gomez"
],
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"title": "A Comment on Fisher Information and Quantum Algorithms",
"url": "https://arxiv.org/abs/quant-ph/9910115"
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