High-efficiency arbitrary quantum operation on a high-dimensional quantum system

TL;DR

This paper demonstrates a universal method for implementing arbitrary quantum operations on high-dimensional photonic systems with minimal resources, advancing quantum control capabilities.

Contribution

It introduces a resource-efficient, universal approach for arbitrary quantum operations on qudits, enabling complex quantum control with minimal physical resources.

Findings

Successfully implemented AQuO on a photonic qudit

Applied AQuO in quantum trajectory simulations and measurements

Achieved quantum control with minimal ancilla and circuit depth

Abstract

The ability to manipulate quantum systems lies at the heart of the development of quantum technology. The ultimate goal of quantum control is to realize arbitrary quantum operations (AQuOs) for all possible open quantum system dynamics. However, the demanding extra physical resources impose great obstacles. Here, we experimentally demonstrate a universal approach of AQuO on a photonic qudit with minimum physical resource of a two-level ancilla and a $\log_{2}d$-scale circuit depth for a $d$-dimensional system. The AQuO is then applied in quantum trajectory simulation for quantum subspace stabilization and quantum Zeno dynamics, as well as incoherent manipulation and generalized measurements of the qudit. Therefore, the demonstrated AQuO for complete quantum control would play an indispensable role in quantum information science.