Shortcuts to Adiabaticity for Quantum Computation and Simulation

绝热过程是无数实验的核心。他们在量子模拟和量子计算中发现了许多应用，从超导平台中产生量子门的绝热脉冲序列到冷原子中多体状态的制备，仅举几例。虽然绝热定理使各种应用，它也是一个基本的限制，无论是在所需的时间尺度和限制地面/本征态守恒操作的来源。这个基础科学项目探索了一个新的概念，作为绝热量子模拟和计算未来技术实现的种子。其具体目标是开发一套全面的非绝热构建模块，使用绝热性（STA）的捷径通过非绝热过程取代绝热状态制备。这种全新的范式允许人们通过向系统引入额外的幺正量子操作来脱离目前阻碍实际应用的绝热极限。在这个有前途的方法，只有早期的理论工作和简单的实验存在到目前为止。在欧洲领先的实验和理论小组的共同努力下，该项目将展示（i）第一个具有可扩展架构的两体STA实验，（ii）第一个具有非尺度不变系统的STA实验，（iii）统计合奏STA的新理论框架和（iv）STA的新张量网络框架。本申请中提出的子项目利用了超导量子电路设计、制造和测量方面的长期经验，以实现方面（i）。

Adiabatic processes are at the core of countless experiments. They find numerous applications in quantum simulations and quantum computing that range from adiabatic pulse sequences generating quantum gates in superconducting platforms to the preparation of many-body states in cold atoms, to name just a few. While the adiabatic theorem enables a variety of applications, it is also a source of fundamental limitations both in required timescales and restricting to ground/eigenstate conserving operations. This fundamental science project explores a novel concept as a seed for future technological implementations in adiabatic quantum simulation and computing. Its specific goal is to develop a comprehensive set of non-adiabatic building blocks that replace the adiabatic state preparation by non-adiabatic processes using shortcuts to adiabaticity (STA). This fundamentally new paradigm allows one to detach from the adiabatic limit, which currently hinders practical applications, by introducing additional unitary quantum operations to the system. In this promising approach, only early theory work and simplistic experiments exist so far. In a joint effort of leading European experimental and theory groups, the project will demonstrate (i) the first two-body STA experiment with a scalable architecture, (ii) the first STA experiment with a non-scale-invariant system, (iii) a novel theoretical framework for STA of statistical ensembles and (iv) a novel tensor network framework for STA. The subproject proposed in this application exploits the longstanding experience of WMI on the design, fabrication, and measurement of superconducting quantum circuits in order to implement aspect (i).