量子模拟SU(3) 格子 扬-米尔斯理论在大N_{c}扩张中排在首位
Anthony N Ciavarella1, Christian W Bauer1,2
1Physics Division, <a href="https://ror.org/02jbv0t02">Lawrence Berkeley National Laboratory</a>, Berkeley, California 94720, USA.
Physical review letters
|September 27, 2024
概括
量子染色力学 (QCD) 动态的量子模拟现在更加可行. 这项研究简化了Hamiltonian for SU(3) 测量场,从而实现了高效的量子计算表示.
科学领域:
- 量子计算是一种量子计算.
- 高能物理 高能物理
- 计算物理 计算物理
背景情况:
- 在量子计算机上模拟量子染色学 (QCD) 动力学是具有挑战性的,因为绘制连续测量场的复杂性.
- 现有的方法在计算资源要求和交互复杂性方面存在局限性.
研究的目的:
- 开发一种更有效的方法,用于量子模拟QCD动态.
- 为了简化量子硬件上的SU(3) 测量场的表示.
主要方法:
- 使用平板自由度参数化尺度不变的希尔伯特空间.
- 扩展希尔伯特空间,并以N_{c} (颜色的数量) 的反次方的相互作用.
- 基于局部能量状态的希尔伯特空间的切断,以实现高效的量子位/量子位表示.
主要成果:
- 在N_{c} 扩展中以领先的顺序显著简化的哈密尔顿式.
- 在量子位和量子位上表示SU(3) 测量场的明确构造.
- 在5x5和8x8格子上成功模拟实时SU(3) 格子尺理论动力学,CNOT深度为113.
结论:
- 拟议的配方显著降低了晶格尺度理论的量子模拟的复杂性.
- 这种方法为更具可扩展性和更准确的高能物理量子计算铺平了道路.
- 该方法证明了在当前量子硬件上模拟非微不足道的QCD动态的实际可行性.
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