2010/03/30 by C. -C. Joseph Wang, C.‐C. Joseph Wang, Wang, C. -C. Joseph +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Computing Algorithms and Architecture #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum many-body systems #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.48550/arxiv.1003.5901
4 pages
arxiv created 2010/03/30 · openalex publication_date 2010/03/30 · arxiv updated 2010/03/31 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28
We compute how phonon creation affects the fidelity of the quantum spin dynamics in trapped ion simulators. A rigorous treatment of the quantum dynamics is made by employing an exact operator factorization of the evolution operator. Although it is often assumed that phonon creation modifies the dynamics of the spin evolution, for an Ising spin-spin interaction in an external magnetic field, phonons have no effect on the probabilities of spin product states measured in the direction of the Ising model axis. Phonons play a much more important role in influencing the effective spin dynamics for Heisenberg or XY model spin simulators or for other observables, like witness operators in the Ising model.