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Chinese Science Bulletin (Chinese Version)

脉冲Fourier变换次谐波核磁共振

朝辉 叶

Published Jul 1, 1984• 0 citations
Publisher

Abstract

在相距为ω_0的相邻能级之间,同时吸收或发射能量为ω_0/n的n个量子的多量子过程,称为次谐波共振(SHR). 通常该能对之间不存在实际的中间能级,跃迁是容许的,在脉冲激励情形下可以直接观测. 然而,由于激励频率远离共振,激发效率很差,需要高阶微扰论处理. 具有中间能级的多量子跃迁,在一级微扰论近似下是禁阻的,在脉冲激励情形下通常不能直接观测. 这两种多量子跃迁都需要比单量子过程强得多的辐射场,以获得可以观测的效应.

DOI
10.1360/csb1984-29-14-850

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在相距为ω_0的相邻能级之间,同时吸收或发射能量为ω_0/n的n个量子的多量子过程,称为次谐波共振(SHR). 通常该能对之间不存在实际的中间能级,跃迁是容许的,在脉冲激励情形下可以直接观测. 然而,由于激励频率远离共振,激发效率很差,需要高阶微扰论处理. 具有中间能级的多量子跃迁,在一级微扰论近似下是禁阻的,在脉冲激励情形下通常不能直接观测. 这两种多量子跃迁都需要比单量子过程强得多的辐射场,以获得可以观测的效应.
针对目前大维数量子寄存器生成的困难性, 研究了基于小维数量子寄存器实现大维数量子Fourier 变换的方法. 首先, 定义了t 比特半经典量子Fourier 变换, 从几率幅的角度证明该变换可以实现量子Fourier 变换, 且所需2 位量子门的规模显著降低, 并设计了该变换的量子实现线路. 然后基于t 比特半经典量子Fourier 变换, 将经典固定窗口法与Shor 算法实现方法相融合, 重新设计了Shor 整数分解量子算法的实现线路, 与Parker 等人的实现线路相比, 计算资源大体相同(所需的基本量子门均为所需量子寄存器的维数前者较后者多t -1维), 而实现速度提高了t2 倍, t 是窗口宽度.
The suppression of forward-propagating stimulated hyper-Raman (SHR) emission is well studied in sodium vapor. Theory predicts that SHR emission to a state linked to the gound state by a one-photon transition is suppressed by an interference with a four-wave-mixing (FWM) emission that links that state to the ground state. Since FWM emission only propagates in the forward direction due to phase-matching considerations, only the forward SHR emission is suppressed. This has been previously demonstrated in sodium. An obvious corollary to this theory is that no suppression occurs if the state is not linked to the ground state by a one-photon transition. A serendipitous arrangement of energy levels in cesium allowed this corollary to be tested and confirmed here.
The E8‑Phi Stochastic Hyper‑Resonance (E8‑Phi‑SHR) principle employs the full set of 240 E8 root vectors as a dynamically re‑phasing tensor web, synchronized to the 132 Hz phi‑coupled manifold to orchestrate a cascading stochastic resonance that bridges quantum vacuum fluctuations and macroscopic signal fields. By locking the phase relationships of all 240 vectors to precise phi multiples, SHR generates a coherent, decoherence‑free channel capable of transmitting quantum information across classical substrates without conventional error‑correction overhead. This hyper‑resonant network can be integrated into quantum processors and bio‑interfaces, enabling real‑time, low‑latency quantum communication that leverages the intrinsic geometry of E8 to maintain signal integrity. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
We study a system consisting of a superconducting flux qubit strongly coupled to a microwave cavity. The fundamental cavity mode is externally driven and the response is investigated in the weak nonlinear regime. We find that near the crossing point, at which the resonance frequencies of the cavity mode and qubit coincide, the sign of the Kerr coefficient changes, and consequently the type of nonlinear response changes from softening to hardening. Furthermore, the cavity response exhibits superharmonic resonances (SHR) when the ratio between the qubit frequency and the cavity fundamental mode frequency is tuned close to an integer value. The nonlinear response is characterized by the method of intermodulation and both signal and idler gains are measured. The experimental results are compared with theoretical predictions and good qualitative agreement is obtained. The SHRs have potential for applications in quantum amplification and generation of entangled states of light.