Computer simulation of quantum features of very weakly quantum-mechanical systems

Walter Wilcox

This textbook offers a unique introduction to quantum mechanics progressing gradually from elementary quantum mechanics to aspects of particle physics. It presents the microscopic world by analysis of the simplest possible quantum mechanical system (spin 1/2). A special feature is the author’s use of visual aids known as process diagrams, which show how amplitudes for quantum mechanical processes are computed. The second edition includes a new chapter and problems on time-dependent processes, in addition to new material on quantum computing and improved illustrations. Key Features: Provides a completely updated text with expanded contents. Includes a brand new chapter on time-dependent processes and expanded coverage of recent developments in particle physics. Emphasizes a visual approach employing process diagrams and utilizing new figures. Incorporates quantum information theory in a new appendix, with other helpful supplements on notation, lattice models, weak flavor mixing, and numerical simulations.

Prasad, Priyasheel, Marco Russo, Bartolomeo Montrucchio

In this work, we simulate the behavior of photons in a laboratory experiment using a quantum computer and examine how the simulation results compare with the theoretical predictions. The experiment involves both protective and non-protective measurements. While the latter involves complete wavefunction collapse, the former combines weak interactions with a protective mechanism thereby preserving the photon wave function coherence until its final detection. The simulation gives insights as to how efficient quantum computers can be in simulating actual physical systems as the amount of computation increases.

Jerome H. Weiner, Attila Aşkar

Francesco Petiziol, Mahdi Sameti, Stefano Carretta +2 more

The realization of effective Hamiltonians featuring many-body interactions beyond pairwise coupling would enable the quantum simulation of central models underpinning topological physics and quantum computation. We overcome crucial limitations of perturbative Floquet engineering and discuss the highly accurate realization of a purely three-body Hamiltonian in superconducting circuits and molecular nanomagnets.

LEVI, Benjamin, Bertrand Georgeot