Quantum computation of thermal averages in the presence of a sign problem
Giuseppe Clemente, Marco Cardinali, Claudio Bonati, Enrico Calore, Leonardo Cosmai, Massimo D’Elia, Alessandro Gabbana, Davide Rossini, Sebastiano Fabio Schifano, R. Tripiccione, Davide Vadacchino
Abstract
We illustrate the application of quantum computing techniques to the investigation of the thermodynamical properties of a simple system, made up of three quantum spins with frustrated pair interactions and affected by a hard sign problem when treated within classical computational schemes. We show how quantum algorithms completely solve the problem, and discuss how this can apply to more complex systems of physical interest, with emphasis on the possible systematics and on their control.
Topics & Concepts
SpinsSign (mathematics)QuantumQuantum computerComputationSimple (philosophy)Statistical physicsComputer scienceTheoretical physicsPhysicsQuantum mechanicsAlgorithmMathematicsCondensed matter physicsMathematical analysisEpistemologyPhilosophyQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum Information and Cryptography