在具有远程纠的有限局部深度电路中没有荒原高原
Hao-Kai Zhang1, Shuo Liu1, Shi-Xin Zhang2
1Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
Physical review letters
|April 29, 2024
概括
我们表明有限局部深度电路 (FLDC) 避免了荒的高原,使得深度量子电路的训练能够进行基底状态准备. 这一突破允许研究以前量子算法无法访问的复杂纠状态.
科学领域:
- 量子计算是一种量子计算.
- 量子信息理论 量子信息理论
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 对于复杂的哈密尔顿人来说,地面状态的准备是经典难以处理的.
- 变量量子自溶解器 (VQE) 使用浅电路来实现短距离的纠状态,但深度电路会遭受荒的高原.
- 荒的高原阻碍了深层量子电路的训练,限制了它们的应用.
研究的目的:
- 为了研究深层量子电路的可训练性,以准备基本状态.
- 在变量量子算法中克服荒的高原现象.
- 为了使得研究长距离的纠状态,包括拓秩序状态.
主要方法:
- 对于由局部2设计组成的电路的电路梯度变量的一般下限.
- 开发一个统一的框架来分析梯度属性.
- 引入有限局部深度电路 (FLDC),局部深度有限,但传统深度可能很大.
主要成果:
- 证明在培训FLDC时没有荒的高原,用于当地哈密尔顿人的地面状态.
- 证明FLDCs可以产生远程纠状态,例如拓有序状态.
- 表明FLDC不能通过高维张量网络方法高效地进行经典模拟.
结论:
- FLDC提供了一种可行的方法来训练深层量子电路,以进行复杂的基础状态准备.
- 开发的框架为理解和克服荒的高原提供了理论基础.
- 数字模拟验证了FLDC培训的有效性,以通用托里克代码模型为例.
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