γ-valerolactone (GVL) has been
identified as a renewable, versatile, and nontoxic building block
for the chemical industry. Although several protocols were published
for its synthesis, so far only a few studies concerning the separation
and purification of the product were reported. Some of the procedures
involve alcohols or lead to the formation of binary mixtures of
alcohols and GVL, therefore the separation is of utmost importance
to produce GVL. Isobaric vapor–liquid equilibria of three binary
systems (methanol, ethanol, and 2-propanol) of γ-valerolactone
were measured using a vapor condensate and liquid circulation VLE
still. The experimental data were correlated with Wilson and UNIQUAC
activity coefficient models and the results were compared with UNIFAC
model calculations. Both models were found suitable for representing
the VLE data. The refractive indexes of all systems were determined
in the whole concentration range at T = 293.2 and
298.2 K. Good agreements between experimental and calculated VLE
data were obtained.
Evaluating the Torontonian function is a central computational challenge in the simulation of Gaussian Boson Sampling (GBS) with threshold detection. In this work, we propose a recursive algorithm providing a polynomial speedup in the exact calculation of the Torontonian compared to stateof-the-art algorithms. According to our numerical analysis the complexity of the algorithm is proportional to N 1.0691 2 N/2 with N being the size of the problem. We also show that the recursive algorithm can be scaled up to HPC use cases making feasible the simulation of threshold GBS up to 35 − 40 photon clicks without the needs of large-scale computational capacities.
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