Quantum Markov Chain Monte Carlo for Cosmological Functions
Giuseppe Sarracino, Vincenzo Fabrizio Cardone, Roberto Scaramella, Giuseppe Riccio, Andrea Bulgarelli, Carlo Burigana, Luca Cappelli, Stefano Cavuoti, Farida Farsian, Irene Graziotti, Massimo Meneghetti, Giuseppe Murante, Nicolò Parmiggiani, Alessandro Rizzo, Francesco Schillirò, Vincenzo Testa, Tiziana Trombetti
公開日: 2025/9/11
Abstract
We present an implementation of Quantum Computing for a Markov Chain Monte Carlo method with an application to cosmological functions, to derive posterior distributions from cosmological probes. The algorithm proposes new steps in the parameter space via a quantum circuit whose resulting statevector provides the components of the shift vector. The proposed point is accepted or rejected via the classical Metropolis-Hastings acceptance method. The advantage of this hybrid quantum approach is that the step size and direction change in a way independent of the evolution of the chain, thus ideally avoiding the presence of local minima. The results are consistent with analyses performed with classical methods, both for a test function and real cosmological data. The final goal is to generalize this algorithm to test its application to complex cosmological computations.