Table 1 Similarities of distributions related to classical, one particle, and two-particle regime for all the steps.

From: Quantum walks of two correlated photons in a 2D synthetic lattice

 

\({{{{\mathcal{S}}}}}_{{{{\rm{cl}}}}}\)

\({{{{\mathcal{S}}}}}_{1{{{\rm{p}}}}}\)

\({{{{\mathcal{S}}}}}_{2{{{\rm{p}}}}}\)

\({{{\mathcal{V}}}}\)

\({{{\mathcal{V}}}}/{\sigma }_{{{{\mathcal{V}}}}}\)

1 step

~0.999

0.9964(1)

0.9756(6)

0.204(2)

96

2 steps

~0.996

0.9929(2)

0.9743(7)

0.0077(5)

14

3 steps

~0.988

0.9773(2)

0.914(2)

0.0084(7)

11

  1. Experimental results for the 2D quantum walk up to the third step when using classical light (\({{{{\mathcal{S}}}}}_{{{{\rm{cl}}}}}\)), one photon (\({{{{\mathcal{S}}}}}_{1{{{\rm{p}}}}}\)), and two photons (\({{{{\mathcal{S}}}}}_{2{{{\rm{p}}}}}\)). In the last columns, we report the maximum value of \({{{\mathcal{V}}}}\) (See Eq. 5) with the associated errors \({\sigma }_{{{{\mathcal{V}}}}}\), and the corresponding values of \({{{\mathcal{V}}}}/{\sigma }_{{{{\mathcal{V}}}}}\) for each measured configuration.