A study has developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the partition function.

“By calculating partition function zeros we are on the way to solving the problem of scaling to larger numbers of qubits when trying to calculate free energies and entropies in a given system.” ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

D. H. Lehmer, On the Series for the Partition Function, Transactions of the American Mathematical Society, Vol. 43, No. 2 (Mar., 1938), pp. 271-295 ...

Limits of ratios of point-to-point and point-to-line partition functions manifest a duality between tilt and velocity that comes from quenched large deviations under polymer measures. In the log-gamma ...

It relies on partition functions, a concept dating back to Swiss mathematician Leonhard Euler. This discovery opens new perspectives for the study of prime numbers. It shows how combinatorial ...