Optical implementations, oracle equivalence, and the Bernstein-Vazirani algorithm

Arvind, Gurpreet Kaur, Geetu Narang
2007 Journal of the Optical Society of America. B, Optical physics  
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
more » ... gainst $n$ 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.
doi:10.1364/josab.24.000221 fatcat:bo3mncga6rdlrbub2buvmd3ntm