Parametric Oscillator Pseudo Spin Pulse Control for Ising Model
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Solution Overview
Problem
Existing Ising model quantum computation devices face challenges in solving NP-complete problems due to difficulties in relaxing from metastable states and implementing Ising interactions efficiently, especially when the number of sites is large, leading to reading errors and complex circuit configurations.
Innovation Solution
The implementation of a quantum computation device that uses parametric oscillation to generate pseudo spin pulses with identical frequencies, feedback loops for measuring and controlling interaction phases, and a simplified circuit configuration with a single parametric oscillator and feedback loop, allowing for precise measurement and control of pseudo spins and interactions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum annealing machine cools the system to realize ground state, then the Ising model can be solved, but when the number of sites is large, the system is trapped into metastable state and cannot be easily relaxed to ground state
Solution Approach 1:
The patent applies dynamics by making the transverse magnetic field time-dependent, gradually decreasing it from an initial strong value to a final weak value. This dynamic evolution allows the system to transition from a easily-prepared transverse field ground state to the desired Ising model ground state, avoiding metastable state trapping by continuously adapting the Hamiltonian parameters during the computation process.
Solution Approach 2:
The patent applies preliminary action by first preparing the system in a simple transverse magnetic field ground state before introducing the Ising interaction. This preliminary state is easily achievable and serves as a starting point for the adiabatic evolution, allowing the system to begin the computation process without being trapped in difficult-to-reach metastable configurations.
2Reliability
If quantum adiabatic machine gradually lowers transverse magnetic field and implements Ising interaction, then ground state can be realized, but when the number of sites is large, the speed of lowering the field needs to be exponentially decreased
Solution Approach 1:
The patent applies dynamics by implementing time-dependent control of the transverse magnetic field strength, allowing the system to evolve through different regimes. The field is gradually lowered according to a scheduled profile that balances adiabatic conditions with practical computation time requirements, enabling faster convergence while maintaining ground state fidelity.
3Ease of manufacture
If NP-complete problem is mapped into Ising model with natural spin system, then physical implementation is achieved, but Ising interaction between close sites is large and between far sites is small, making it difficult to map artificial Ising model
Solution Approach 1:
The patent applies the intermediary principle by introducing optical fields (lasers) as mediators between the physical spin system and the desired Ising interactions. The optical fields serve as controllable intermediaries that can transmit interaction signals between any pair of sites regardless of their physical distance, thereby decoupling the interaction strength from the physical distance constraint of the natural spin system.
Solution Approach 2:
The patent applies mechanics substitution by replacing the natural magnetic interaction mechanism with an optically-controlled interaction mechanism. Instead of relying on physical proximity for strong coupling, the system uses laser-induced interactions that can be precisely controlled in strength and range, substituting the mechanical/direct magnetic coupling with a field-mediated interaction that offers greater design flexibility.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach prevents reading errors and simplifies the circuit configuration, enabling efficient solution of NP-complete problems by ensuring accurate pseudo spin measurements and interactions without significant delays or complexity.
Implementation Method 1
a plurality of pseudo spin pulses having mutually an identical oscillation frequency are oscillated by using parametric oscillation
Implementation Method 2
phases of the plurality of pseudo spin pulses are measured every time the plurality of pseudo spin pulses circularly propagate in a ring resonator
Data Source
AI summary
A parametric oscillator oscillates a plurality of pseudo spin pulses SPi having mutually an identical oscillation frequency by using parametric oscillation, an interaction implementing unit performs feedback implementation of a magnitude and a sign of interaction related to each pseudo spin pulse SPi (the proportionality coefficient λi+ΣJijσj+ΣKijkσjσk with respect to σi) by using a tentative measurement result of oscillation phases ϕi(tentative) of the plurality of pseudo spin pulses SPi, and a pseudo spin measuring unit measures the pseudo spins σi of the plurality of pseudo spin pulses SPi, based on a final measurement result of oscillation phases ϕi(steady) of the plurality of pseudo spin pulses SPi.