Towards Photonic Non-Abelian Quantum Gates

走向光子非阿贝尔量子门

• 批准号: 507228293
• 负责人: Professor Dr. Stefan Scheel
• 金额: --
• 依托单位: Institut für Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/507228293?language=en
• 关键词: Towards; Photonic; Non; Abelian; Quantum

Quantum information science, a field that has emerged over the past several decades, addresses the question of whether harnessing quantum mechanical effects through storing, processing and transmitting information encoded in inherently quantum mechanical systems can lead to new phenomena, functionalities, and devices. Quantum information is both fundamental science and a progenitor for new technologies. Photonic quantum systems provide many advantages, reaching from low levels of decoherence to precise single-particle quantum control and being mobile. Laser-written integrated photonic waveguides provide the unique capability of designing complex, stable quantum information circuitry with unprecedented flexibility. For example, non-Abelian geometric phases associated with non-Abelian synthetic gauge fields have recently been successfully implemented. Such phases are crucial for topological quantum computation, non-Abelian anyon statistics, and the quantum simulation of Yang–Mills theories. The aim of our proposal is to promote the implementation of photonic non-Abelian U(N) holonomies in integrated waveguide architectures with the vision to establish a basis for new quantum information processing applications in the framework of noisy intermediate-scale quantum (NISQ) processing. In particular, in the proposed project we will (1) develop the theoretical foundations for and experimentally demonstrate a U(3) holonomy using two indistinguishable photons and a network of four coupled sites, in which the waveguides’ bending geometry has been optimized, (2) develop and demonstrate a conceptual and experimental framework to include non-orthogonal modes and non-adiabatic quantum state evolution in the functionality of our integrated waveguide circuits which will allow us to access larger degenerate subspaces, including a U(4)-holonomy for two photons, and (3) implement various holonomic quantum gates and experimentally demonstrate holonomic quantum computation protocols. The strength of our proposal comes from combining two very fruitful modern research directions: multi-photon-state manipulation and integrated optical circuitry in order to explore fundamental concepts of quantum information processing, for the advancement of fundamental science as well as photonic applications.

量子信息科学是过去几十年兴起的一个领域，它解决了通过存储、处理和传输固有量子力学系统中编码的信息来利用量子力学效应是否可以带来新现象、功能和设备的问题。量子信息既是基础科学，也是新技术的鼻祖。光子量子系统具有许多优势，从低水平的退相干到精确的单粒子量子控制以及可移动。激光写入的集成光子波导提供了设计复杂、稳定的量子信息电路的独特能力，并具有前所未有的灵活性。例如，与非阿贝尔合成规范场相关的非阿贝尔几何相位最近已成功实现。这些相对于拓扑量子计算、非阿贝尔任意子统计和杨-米尔斯理论的量子模拟至关重要。我们提案的目的是促进光子非阿贝尔 U(N) 完整律在集成波导架构中的实现，旨在为噪声中尺度量子 (NISQ) 处理框架中的新量子信息处理应用奠定基础。特别是，在拟议的项目中，我们将（1）开发理论基础并通过实验演示使用两个不可区分的光子和四个耦合位点的网络的 U（3）完整性，其中波导的弯曲几何形状已得到优化，（2）开发并演示一个概念和实验框架，以在我们的集成功能中包括非正交模式和非绝热量子态演化。 波导电路将使我们能够访问更大的简并子空间，包括两个光子的 U(4) 完整子空间，以及 (3) 实现各种完整量子门并通过实验演示完整量子计算协议。我们提案的优势在于结合了两个非常富有成效的现代研究方向：多光子态操纵和集成光学电路，以探索量子信息处理的基本概念，促进基础科学和光子应用的进步。