A Linearization Approach in Quantum Decoherence Systems for Compressive Sensing

Quantum decoherence leads to non-unitary evolution of quantum systems and introduces non-controllable aspects. For composite systems, the number of decoherence parameters always scales exponentially with the system size. In this work, we adopt a so-called compressive sensing technique to logarithmically reduce original data required to recover system dynamic process and reconstruct decoherence parameters. With appropriate approximations, a key linear constraint is obtained to build connection between unknown decoherence parameters and input/output data. This linearization approach for compressive sensing will provide an efficient way for theoretical and experimental studies on decoherence quantum system.