Non-iterative optimal design of quantum controls

T. S. Mahesh, Priya Batra, M. Harshanth Ram

Zhang, C B, Dong, D Y, Chen, Z H

A new notion of controllability, eigenstate controllability, is defined for finite-dimensional bilinear quantum mechanical systems which are neither strongly completely controllably nor completely controllable. And a quantum control algorithm based on Grover iteration is designed to perform a quantum control task of steering a system, which is eigenstate controllable but may not be (strongly) completely controllable, from an arbitrary state to a target state.

Chen-Bin Zhang, Dao-Yi Dong, Zong-Hai Chen

A new notion of controllability, eigenstate controllability, is defined for finite-dimensional bilinear quantum mechanical systems which are neither strongly completely controllable nor completely controllable. Moreover, a quantum control algorithm based on Grover iteration is designed to perform a quantum control task of steering a system, which is eigenstate controllable but may not be (strongly) completely controllable, from an arbitrary state to a target state.

Victor Mukherjee, Vittorio Giovannetti, Rosario Fazio +3 more

Randa Herzallah, Abdessamad Belfakir

Jincheng Zhang

Quantum state mapping, a crucial technique in quantum information processing, involves the transformation of quantum states into different mappings. This research explores the interplay between these mappings and topological mappings, proposing a novel algorithm for optimizing quantum device control through this relationship. We introduce a framework based on non-linear mapping, aiming to precisely control quantum states by iteratively refining these mappings. The core mechanism centers on the identification of optimal mappings that leverage topological properties to enhance device performance. This work provides a new perspective on quantum device design, highlighting the potential of topological mappings to guide and improve the control of quantum systems. We demonstrate the effectiveness of this approach through simulations and preliminary device design, showcasing its ability to achieve targeted control and optimize device characteristics.