Optimizing state transfer in a three-qubit array via quantum brachistochrone method

TL;DR

This paper applies the quantum brachistochrone method to derive the fastest possible protocol for quantum state transfer in a three-qubit array with time-varying couplings, optimizing quantum communication speed.

Contribution

It introduces an analytical approach to achieve time-optimal quantum state transfer in a three-qubit system using the quantum brachistochrone method, advancing quantum control techniques.

Findings

Derived the fastest protocol for three-qubit state transfer

Analytically optimized quantum transfer time

Demonstrated the effectiveness of the brachistochrone approach

Abstract

Quantum brachistochrone method has recently emerged as a technique allowing one to implement the desired unitary evolution operator in a physical system within the minimal time. Here, we apply this approach to the problem of time-optimal quantum state transfer in the array of three qubits with time-varying nearest-neighbor couplings and analytically derive the fastest protocol.