Figure 1
Gaussian Boson Sampling device for thermal states. (a) The uncorrelated squeezed thermal state (\(\hat{S}{\rho }_{{\rm{th}}}{\hat{S}}^{\dagger }\)) enters into linear photon network. The output Fock states (|m〉〈m|) are detected, and the input number states are not resolved. (b) The correlated squeezed thermal state (\(\hat{S}\hat{R}{\rho }_{{\rm{th}}}{\hat{R}}^{\dagger }{\hat{S}}^{\dagger }\)) enters into linear photon network. The output Fock states (|m〉〈m|) are detected, and the input number states are not resolved. (c) The thermal state is prepared as a pure state in the extended Hilbert space with the ancillary modes. The input states are prepared as uncorrelated squeezed coherent or vacuum input states. Both of output ((|m〉〈m|) and input (\(|{\bf{n}}{\rangle }_{{\rm{B}}}{}_{{\rm{B}}}\langle {\bf{n}}|\)) Fock states are resolved via measuring the photon output of the extended optical modes.
