dorsal/arxiv
View SchemaOptical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm
| Authors | Arvind, Gurpreet Kaur, Geetu Narang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605092 |
| URL | https://arxiv.org/abs/quant-ph/0605092 |
| DOI | 10.1364/JOSAB.24.000221 |
| Journal | JOSA B, Vol. 24, 221-225 (2007) |
Abstract
We describe a new implementation of the Bernstein-Vazirani algorithm which relies on the fact that the polarization states of classical light beams can be cloned. We explore the possibility of computing with waves and discuss a classical optical model capable of implementing any algorithm (on $n$ qubits) that does not involve entanglement. The Bernstein-Vazirani algorithm (with a suitably modified oracle), wherein a hidden $n$ bit vector is discovered by one oracle query as against $n$ oracle queries required classically, belongs to this category. In our scheme, the modified oracle is also capable of computing $f(x)$ for a given $x$, which is not possible with earlier versions used in recent NMR and optics implementations of the algorithm.
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"abstract": "We describe a new implementation of the Bernstein-Vazirani algorithm which\nrelies on the fact that the polarization states of classical light beams can be\ncloned. We explore the possibility of computing with waves and discuss a\nclassical optical model capable of implementing any algorithm (on $n$ qubits)\nthat does not involve entanglement. The Bernstein-Vazirani algorithm (with a\nsuitably modified oracle), wherein a hidden $n$ bit vector is discovered by one\noracle query as against $n$ oracle queries required classically, belongs to\nthis category. In our scheme, the modified oracle is also capable of computing\n$f(x)$ for a given $x$, which is not possible with earlier versions used in\nrecent NMR and optics implementations of the algorithm.",
"arxiv_id": "quant-ph/0605092",
"authors": [
"Arvind",
"Gurpreet Kaur",
"Geetu Narang"
],
"categories": [
"quant-ph"
],
"doi": "10.1364/JOSAB.24.000221",
"journal_ref": "JOSA B, Vol. 24, 221-225 (2007)",
"title": "Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm",
"url": "https://arxiv.org/abs/quant-ph/0605092"
},
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