dorsal/arxiv
View SchemaCircuit for Shor's algorithm using 2n+3 qubits
| Authors | Stephane Beauregard |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205095 |
| URL | https://arxiv.org/abs/quant-ph/0205095 |
| Journal | Quantum Information and Computation, Vol. 3, No. 2 (2003) pp. 175-185 |
Abstract
We try to minimize the number of qubits needed to factor an integer of n bits using Shor's algorithm on a quantum computer. We introduce a circuit which uses 2n+3 qubits and O(n^3 lg(n)) elementary quantum gates in a depth of O(n^3) to implement the factorization algorithm. The circuit is computable in polynomial time on a classical computer and is completely general as it does not rely on any property of the number to be factored. Keywords: Factorization, quantum circuits, modular arithmetics
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"abstract": "We try to minimize the number of qubits needed to factor an integer of n bits\nusing Shor\u0027s algorithm on a quantum computer. We introduce a circuit which uses\n2n+3 qubits and O(n^3 lg(n)) elementary quantum gates in a depth of O(n^3) to\nimplement the factorization algorithm. The circuit is computable in polynomial\ntime on a classical computer and is completely general as it does not rely on\nany property of the number to be factored.\n Keywords: Factorization, quantum circuits, modular arithmetics",
"arxiv_id": "quant-ph/0205095",
"authors": [
"Stephane Beauregard"
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"quant-ph"
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"journal_ref": "Quantum Information and Computation, Vol. 3, No. 2 (2003) pp.\n 175-185",
"title": "Circuit for Shor\u0027s algorithm using 2n+3 qubits",
"url": "https://arxiv.org/abs/quant-ph/0205095"
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