PNAS Plus Significance Statements

2013 Proceedings of the National Academy of Sciences of the United States of America  
Methodology for studying quantum ground-state problems is currently more mature than what is available for quantum dynamical problems. Moreover, modern computing architectures demand that new algorithms be able to make use of parallel processing. We introduce a construction inspired by quantum computation that allows one to use virtually any model for a ground-state wavefunction to model quantum many-body dynamics and formulate it in a way that naturally leads to a parallel-in-time algorithm.
more » ... n-time algorithm. We show (pp. E3901-E3909) how the elementary ground-state variational principle maps onto a new time-dependent variational principle and demonstrate practical examples of its use.
doi:10.1073/pnas.ss11041 fatcat:xih7rjfttra2dbc4xo6e2utun4