Quantum Nonlinear Oscillators for Combinatorial Optimization

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Solution Overview

Problem

Current methods for solving combinatorial optimization problems, such as QUBO (Quadratic Unconstrained Binary Optimization) issues, face challenges in finding global optimal solutions due to getting trapped in local optimal solutions, leading to inaccurate results and loss of quantum-mechanical superposition states.

Innovation Solution

A quantum computation apparatus utilizing quantum nonlinear oscillators with nondissipative coupling and controlled bifurcation parameters to achieve quantum adiabatic changes, avoiding loss and enabling superposition of quantum states, thereby minimizing Ising energy and finding global optimal solutions.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If oscillation phenomenon is used to solve QUBO problems, then computation speed is improved, but solution accuracy deteriorates due to getting trapped in local optimal solutions

Engineering Contradiction:

Improvecomputation speedVSAvoidsolution accuracy

Core Design Contradiction:

ProductivityVSMeasurement precision

Solution Approach 1:

The patent changes the fundamental parameter of the computation system by introducing quantum-mechanical effects (superposition and interference) to transform the computation from classical oscillation to quantum evolution. This allows the system to maintain high computation speed while avoiding local optimal solutions through quantum tunneling and superposition states.

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent replaces the classical mechanical oscillation system with a quantum-mechanical system. Instead of using classical oscillators that get trapped in local minima, the invention uses quantum states that can exist in superposition and tunnel through energy barriers, thereby solving the accuracy problem while maintaining speed.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Adaptability or versatility

If noise is introduced to escape local optimal solutions, then solution exploration is improved, but quantum-mechanical superposition state is destroyed

Engineering Contradiction:

Improvesolution exploration capabilityVSAvoidquantum superposition state

Core Design Contradiction:

Adaptability or versatilityVSStability of the object's composition

Solution Approach 1:

The patent converts the harmful effect of decoherence (loss of quantum superposition) into a beneficial mechanism by designing the system to operate in a regime where controlled dissipation helps the system escape local optima while maintaining quantum advantages. The system uses the oscillation threshold phenomenon to naturally select optimal states without requiring destructive noise injection.

Inventive Principle:

Principle #22Blessing in disguise (Convert harm into benefit)

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

The apparatus effectively solves combinatorial optimization problems by using the oscillation phenomenon and quantum effects, reducing the likelihood of being trapped in local optimal solutions and increasing the accuracy of solutions by maintaining quantum superposition states.

Implementation Method 1

Each of the quantum nonlinear oscillators implements superposition of distinguishable quantum states by bifurcating one quantum state via a quantum adiabatic change controlled by the bifurcation parameter

Methodology Applied

Scientific EffectQuantum adiabatic change:

Implementation Method 2

The quantum nonlinear oscillators couple with each other by nondissipative coupling accompanying no loss

Methodology Applied

Scientific EffectNondissipative coupling:

Data Source

PatentUS10250271B2Quantum computation apparatus and quantum computation method

Publication Date: 2019.04.02 KK TOSHIBA

AI summary

According to one embodiment, a quantum computation apparatus includes a plurality of quantum nonlinear oscillators, a controller, and a measuring device. Each of the quantum nonlinear oscillators implements superposition of distinguishable quantum states by bifurcating one quantum state via a quantum adiabatic change controlled by a bifurcation parameter. The quantum nonlinear oscillators couple with each other by nondissipative coupling accompanying no loss. The controller individually controls the bifurcation parameters of the quantum nonlinear oscillators. A measuring device measures outputs from the quantum nonlinear oscillators.