Efficient computation of quantum time-optimal control

Abstract

We present an approach to compute time-optimal control of a quantum system which combines quantum brachistochrone and Lax pair techniques and enables efficient investigation of large-scale quantum systems. We illustrate our method by finding the fastest way to transfer a single-particle excitation in a nearest-neighbor-coupled infinitely large qubit lattice with the fixed sum of squares of the couplings.

6 pages, 3 figures, 8 pages of Supplementary Materials