来自复杂同步网络的多维量子类资源
Debadrita Saha1, Gregory D Scholes1
1Department of Chemistry, Princeton University, Princeton, NJ 08544, USA.
Entropy (Basel, Switzerland)
|September 27, 2025
概括
本研究介绍了量子样 (QL) 位,即高维的QL位类型,来自同步网络. 这些QLD提供了潜在的计算优势,并提高了量子类信息处理的经典资源效率.
科学领域:
- 理论计算机科学 理论计算机科学
- 量子信息理论 量子信息理论
- 网络科学 网络科学
背景情况:
- 最近的工作引入了源自同步网络动态的量子样 (QL) 位.
- QL 位包括 QL 状态和 QL 门操作.
研究的目的:
- 将QL位的概念扩展到更高维度的量子类 (QL) 资源,称为QL dits.
- 通过使用k-正则图,探索这些QL位的结构和特性.
- 调查d-nary QL系统的潜在计算优势.
主要方法:
- 使用任意维度的k-正则图形构建QL数据.
- 通过相邻矩阵的 eigen 谱定义 QL 状态空间.
- 使用图形的笛卡尔积的张量积结构的实现.
主要成果:
- 建议使用QL位作为QL位的高维类型.
- 在k-正则图中,相邻矩阵的 eigen 谱定义了 QL 状态空间.
- 图形的笛卡尔乘积方便了多QLd系统的张量乘积结构.
结论:
- 这项工作将QL信息处理的范式推广到更高的维度.
- 与QL位相比,QL位在传统的资源效率方面具有潜在的优势.
- 同步的网络动态为高级QL信息处理提供了基础.
相关概念视频
Sequence Networks of Rotating Machines
485
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
485
State Space Representation
531
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
531
Network Covalent Solids
16.0K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.0K
Network Function of a Circuit
642
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
642
The Quantum-Mechanical Model of an Atom
56.6K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
56.6K
Ampere-Maxwell's Law: Problem-Solving
1.1K
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
1.1K


