Speaker
Description
In this paper, we have studied two-mode Gaussian states. First, we computed the distance between two mode
separable states using the well-known Hilbert-Schmidt measure. We also calculated the scalar curvature of
the manifold associated with the two-mode separable states, which we showed to be zero. Additionally, we
considered two different operations on the two-mode bosonic system: squeezing and beam splitting. We cal-
culated the Hilbert-Schmidt distance between neighboring squeezed and mixed states and computed the scalar
curvature, as shown in Figure 1. Interestingly, in both cases, the results were identical and independent of the
squeezing parameters (2r, ) and mixing parameters (, ). Instead, the scalar curvature depended only on the in-
trinsic parameters of the system (1, 2). Furthermore, we demonstrated that the geometry becomes warped only
in the presence of entangled two-mode squeezed or mixed states. We also showed that the so-called ”warping
function” encodes the entanglement between the squeezed or mixed states under consideration.
| Abstract Category | Optics & Photonics |
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