量子步行灵感动态亚亚巴特式局部搜索
Chen-Fu Chiang1, Paul M Alsing2
1Department of Computer Science, State University of New York Polytechnic Institute, Utica, NY 13203, USA.
Entropy (Basel, Switzerland)
|September 28, 2023
概括
我们解决了将量子搜索算法转换为连续时间量子步行 (CTQW) 和亚亚巴特量子计算 (AQC) 框架之间的挑战. 我们的改进方法保持了AQC的最佳运行时间,与CTQW的效率相匹配.
科学领域:
- 量子计算是一种量子计算.
- 量子算法中的量子算法
- 计算复杂性 计算复杂性
背景情况:
- 在连续时间量子步行 (CTQW) 和阿迪亚巴特量子计算 (AQC) 框架之间翻译搜索算法提出了不可调和的问题.
- AQC需要哈密尔顿式的恒定能量差距来遵循CTQW进化路径,这构成了重大挑战.
研究的目的:
- 在翻译 CTQW 搜索算法时,解决 AQC 中恒定的能量差距问题.
- 在AQC框架内保持CTQW的最佳运行时间.
- 探索适应性调度,以改善格罗弗灵感的AQC中的本地搜索.
主要方法:
- 修改了CTQW启发的AQC催化剂哈密尔顿从XZ操作员到Z预言操作员.
- 进行模拟以验证拟议的方法.
- 研究了催化剂哈密尔顿式及其系数函数的适应性调度.
主要成果:
- 修改后的催化剂哈密尔顿式解决了恒定的能量差距问题.
- 模拟表明,拟议的AQC方法与修改的哈密尔顿式实现了最佳运行时间,相当于CTQW.
- 适应性调度显示了在格罗弗灵感的AQC中增强adiabatic本地搜索的潜力.
结论:
- 修改后的Z Oracle催化剂Hamiltonian有效地弥合了搜索算法的CTQW和AQC框架.
- 拟议的方法在AQC中保留了CTQW的计算效率.
- 对自适应调度的进一步研究可以优化adiabatic本地搜索性能.
更多相关视频
05:30Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
591
10:36Author Spotlight: Optimization of Airflow Velocities in Battery Cooling Systems for Enhanced Thermal Performance and Reduced Energy Consumption
Published on: November 3, 2023
1.6K
相关概念视频
01:18Adiabatic Processes for an Ideal Gas
3.1K
When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
3.1K
01:20Work Done in an Adiabatic Process
3.2K
Consider the adiabatic compression of an ideal gas in the cylinder of an automobile diesel engine. The gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20 °C, 1.00 x 105 N/m2, and 240 cm3 , respectively. The mixture is then compressed adiabatically to a volume of 40 cm3. Note that, in the actual operation of an automobile engine, the compression is not...
3.2K
01:27Pressure and Volume in an Adiabatic Process
2.7K
Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is,
2.7K
01:20Maxwell-Boltzmann Distribution: Problem Solving
1.5K
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
1.5K
01:24Laminar Flow: Problem Solving
208
Laminar flow occurs when a fluid moves smoothly in parallel layers with minimal mixing and turbulence. In fluid mechanics, ensuring laminar flow within a pipe is essential for precise control of flow characteristics, especially in engineering applications. The key factor in determining whether flow remains laminar is the Reynolds number, a dimensionless quantity that depends on the fluid's velocity, density, viscosity, and the pipe's diameter. A Reynolds number of 2100 or lower...
208
01:09Turbulent Flow: Problem Solving
155
Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
155