The authors introduce a blocked loop Hafnian and finite-difference sieve that compute coarse-grained photon-number distributions of Gaussian states in exponential, not combinatorial, time.
Mode-selective single-photon addition to a multimode quantum field
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abstract
Spectro-temporal modes of light can be exploited for the generation of high-dimensional Gaussian quantum states. Such states are at the basis of continuous variable quantum information protocols where they have to support mode-selective non-Gaussian operations. We develop a general framework for single-photon addition on multimode states of light via parametric down conversion processes. We identify the analytical conditions for single-mode and mode-selective photon addition. We show that spectral mode selectivity can be achieved in the Type-II collinear down conversion, while single-mode condition are retrieved for noncollinear Type-I and Type-II processes. Numerical results are shown for photon addition in parametric down conversion process at near-infrared and telecommunications wavelengths.
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Simulating lossy and partially distinguishable quantum optical circuits: theory, algorithms and applications to experiment validation and state preparation
The authors introduce a blocked loop Hafnian and finite-difference sieve that compute coarse-grained photon-number distributions of Gaussian states in exponential, not combinatorial, time.