在对称性保护的自旋链上进行基于测量的量子计算的反直觉但有效的制度
Arnab Adhikary1,2, Wang Yang3, Robert Raussendorf2,4
1University of British Columbia, Department of Physics and Astronomy, Vancouver, Canada.
Physical review letters
|November 1, 2024
概括
对称性保护拓 (SPT) 阶段提供量子计算能力. 这项研究表明,以前避免的密集对称性破坏测量实际上是量子计算中最节省资源的计算模式.
科学领域:
- 量子信息科学 量子信息科学
- 凝聚物质物理学 凝聚物质物理学
- 计算复杂性 计算复杂性
背景情况:
- 非碎的对称性受保护的拓 (SPT) 阶段承载着具有固有的计算能力的量子状态.
- 基于测量的量子计算 (MBQC) 利用这些状态,通过破坏对称度的测量解锁功率.
- 传统的MBQC方案避免密集的测量,以防止不必要的纠.
研究的目的:
- 在SPT阶段内使用密集包装的对称性破坏测量来调查MBQC的计算性能.
- 为了确定密集的测量是否比稀疏的配置提供优势.
主要方法:
- 在SPT阶段内对量子计算的理论分析.
- 探讨密集测量模式与稀疏配置的对比.
- 考虑有关纠和相关性的物理假设.
主要成果:
- 量子计算仍然是功能性的,即使有密集的对称性破坏测量.
- 密集的测量配置被证明是最节省资源的计算模式.
- 这种效率在合理的物理假设下成立.
结论:
- 在SPT阶段进行密集对称破坏测量是MBQC的可行和高效的策略.
- 这些发现挑战了传统的方法,并为量子计算中的资源优化开辟了新的途径.
相关概念视频
Spin–Spin Coupling Constant: Overview
889
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
889
Quantum Numbers
34.3K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
34.3K
Atomic Nuclei: Nuclear Spin State Overview
884
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
884
Spin–Spin Coupling: One-Bond Coupling
948
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
948
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
974
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
974
The Pauli Exclusion Principle
35.3K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
35.3K


