Time-Optimal Transfer of Coherence

TL;DR

This paper derives exact analytical solutions for the fastest possible transfer of quantum coherence in a three-spin chain, confirming previous numerical results and considering realistic control time costs.

Contribution

It provides the first exact analytical solutions for time-optimal coherence transfer in a trilinear Ising chain with realistic control constraints.

Findings

Optimal transfer time matches previous numerical estimates.

Analytical solutions account for non-negligible control time.

Results improve understanding of quantum coherence manipulation.

Abstract

We provide exact analytical solutions for the problem of time-optimal transfer of coherence from one spin polarization to a three-fold coherence in a trilinear Ising chain with a fixed energy available and subject to local controls with a non negligible time cost. The time of transfer is optimal and consistent with a previous numerical result obtained assuming instantaneous local controls.