对于稳定器度的高效量子算法
Tobias Haug1,2, Soovin Lee2, M S Kim2
1Quantum Research Center, <a href="https://ror.org/001kv2y39">Technology Innovation Institute</a>, Abu Dhabi, UAE.
Physical review letters
|July 1, 2024
概括
本研究介绍了有效的量子计算方法来测量稳定器 (SE),量化量子"魔力". 这些新协议允许实践探索不稳定性及其对量子系统的影响.
科学领域:
- 量子信息科学 量子信息科学
- 量子计算是一种量子计算.
- 量子多体物理学 量子多体物理学
背景情况:
- 稳定器 (SEs) 量化非稳定性,这是量子计算中的一个关键资源.
- 现有的SE测量协议表现出指数级扩展,限制了实际应用.
- SE与诸如量子杂乱和局部化之类的重要现象有关.
研究的目的:
- 为N-量子比特状态开发SE的高效测量协议.
- 用量子硬件探索非稳定性单调的实际测量.
- 为了研究不稳定性和量子混动态之间的关系.
主要方法:
- 开发了SE的高效测量协议,使用Bell测量对整数Rényi指数n>1.1进行测量.
- 实现了测量SEs的算法,其中有O (n) 个状态副本和O (nN) 个经典时间.
- 利用IonQ量子计算机测量杂的克利福德电路的SEs并分析编码动态.
主要成果:
- 证明了SEs和相关的不稳定性单调的有效测量.
- 提供了对稳定器忠诚度,范围和魔法的强度的界限.
- 引入了对时间顺序外的相关系数和多分形平度的高效算法.
- 长时间观察到反直觉的结果,即随机汉密尔顿进化中的杂乱减少.
结论:
- 开发的方法使得量子不稳定性的高效,实用测量成为可能.
- 这项工作有助于研究混动态和其他与不稳定性相关的现象.
- 开辟了探索量子魔法的新途径,使用当前和未来的量子计算机.
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