操作人员的放松和经典阴影的最佳深度
Matteo Ippoliti1, Yaodong Li1, Tibor Rakovszky1
1Department of Physics, Stanford University, Stanford, California 94305, USA.
Physical review letters
|June 24, 2023
概括
经典的影子通过随机测量有效地学习量子状态. 具有优化电路深度的浅阴影可指数地提高学习保利运算符的样本复杂性,将量子动力学与信息科学联系起来.
科学领域:
- 量子信息科学 量子信息科学
- 量子多体动力学是什么?
背景情况:
- 经典影子是一种采样效率高的方法,用于使用随机测量来表征量子状态.
- 学习量子状态的特性对于量子信息科学至关重要.
研究的目的:
- 使用浅影子研究学习保利运算符预期值的样本复杂性.
- 分析局部单元电路深度对学习效率的影响.
主要方法:
- 通过分析旋转电路下的操作员演变来研究控制样本复杂性的影子规范.
- 对于空间连续的保利运算子,研究了运算子扩展和放松动态.
- 在影子规范上推导出边界,并在1D中使用平均场近似计算获得定量结果.
主要成果:
- 显示的影子规范取决于操作员重量分布的海森堡时间演变.
- 导出阴影规范的上限,为浅的阴影 (深度t~log(k)) 获得指数级的样本复杂度增长.
- 获得了定量1D结果,包括对最佳深度进行普遍校正,匹配数值模拟.
结论:
- 浅的阴影比t=0协议提供了显著的样本复杂性优势.
- 连接量子多体动力学 (操作员扩展/放松) 与量子信息协议.
- 铺平了学习量子状态属性的优化协议的道路.
相关概念视频
Relaxation of Skeletal Muscles
3.4K
The period of muscle contraction primarily influences the duration of stimulation at the neuromuscular junction (NMJ), the presence of free calcium ions in the sarcoplasm, and the availability of energy or ATP to support contractions.
When an action potential reaches the axon terminal, it depolarizes the membrane and opens voltage-gated sodium channels. Sodium ions enter the cell, further depolarizing the presynaptic membrane. This depolarization causes voltage-gated calcium channels to open....
When an action potential reaches the axon terminal, it depolarizes the membrane and opens voltage-gated sodium channels. Sodium ions enter the cell, further depolarizing the presynaptic membrane. This depolarization causes voltage-gated calcium channels to open....
3.4K
Depth Perception and Spatial Vision
745
Depth perception is the ability to perceive objects three-dimensionally. It relies on two types of cues: binocular and monocular. Binocular cues depend on the combination of images from both eyes and how the eyes work together. Since the eyes are in slightly different positions, each eye captures a slightly different image. This disparity between images, known as binocular disparity, helps the brain interpret depth. When the brain compares these images, it determines the distance to an object.
745
Sight Distance in a Vertical Curve
80
Sight distance on vertical curves is critical in roadway design. It ensures drivers can see far enough ahead to identify and respond to hazards effectively. This directly impacts safety, driver comfort, and the overall efficiency of the transportation network.Vertical curves are classified into crest and sag curves based on their geometry. For crest curves, sight distance is determined by the line of sight between a driver's eye and a small object on the road's surface. Design parameters for...
80
Reducing Line Loss
176
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss...
176
Maxwell-Boltzmann Distribution: Problem Solving
1.6K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.6K
Uniform Depth Channel Flow: Problem Solving
92
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
92


