3 papers
math.CO2025
Directed lattice paths avoiding periodic subset of points on "time"-axis
S. Tarasov
We compute generating functions of the set of directed lattice paths starting from the origin and avoiding a periodic set of even point on OX = "time"-axis. As an application we pr…
quant-ph2025
Derivation of the Loop Hafnian Generating Function for Arbitrary Symmetric Matrices via Gaussian Integration
Sergey V. Tarasov
This short note shows that the recently proposed generating function for loop hafnians -- originally derived using quantum-optical methods for a restricted class of matrices -- is…
quant-ph2024
Boson sampling with self-generation of squeezing via interaction of photons and atoms
Sergey V. Tarasov, Vladimir V. Kocharovsky
We suggest a novel scheme for generating multimode squeezed states for the boson sampling implementation. The idea is to replace a commonly used linear interferometer by a multimod…