Quantum Random Number Generation Using Nonlinear Group Operations
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing quantum random number generators (QRNGs) face limitations in speed, complexity of technical setup, potential bias in data, and quality of randomness, making them unsuitable for modern applications requiring high speed and high randomness.
Innovation Solution
A method and device using a quantum computing device to generate random numbers through a non-trivial starting point of a mathematical structure with a non-linear group operation, such as an Abelian variety, preparing quantum superposition states, and extracting random numbers via measurement, ensuring improved randomness and speed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If early quantum random number generators measure physical phenomena like radioactive decay or shot noise, then true randomness is achieved, but speed is reduced and technical complexity increases
Solution Approach 1:
The patent replaces traditional quantum measurement devices (radioactive decay detectors, shot noise measurement apparatus) with a quantum computing system. The quantum computer executes algorithms that generate random numbers through quantum operations (Hadamard gates, phase rotations) followed by measurement, substituting complex physical measurement systems with programmable quantum computational processes that achieve both true randomness and high speed.
Solution Approach 2:
The patent changes the fundamental parameter of random number generation from measuring external physical phenomena to performing controlled quantum computational operations. By using quantum gates to manipulate qubit states and then measuring the final state, the system transforms the generation process from passive observation of quantum phenomena to active quantum computation, thereby increasing speed while maintaining true randomness.
2Productivity
If quantum computers are used to generate random numbers through quantum operations and measurements, then speed is improved, but device complexity increases
Solution Approach 1:
The patent leverages the universal nature of quantum computers, which can execute various quantum algorithms for random number generation using the same hardware platform. The quantum computer serves multiple functions: state preparation, quantum operations (Hadamard gates, phase rotations), and measurement, all within a single programmable system, thereby reducing the need for multiple specialized devices and simplifying the overall technical setup.
3Reliability
If traditional quantum random number generators are used, then true randomness is achieved, but measurement device complexity and safety risks increase
Solution Approach 1:
The patent extracts the essential quantum randomness generation function from complex measurement devices and isolates it within a controlled quantum computational environment. By using quantum gates to prepare and manipulate quantum states before measurement, the system separates the randomness generation core from the complex external measurement apparatus, thereby maintaining true randomness while reducing device complexity and eliminating safety risks associated with radioactive materials.
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
Generates random numbers with improved randomness and speed, suitable for applications like AI, passing statistical tests, and enabling high-quality random number generation.
Implementation Method 1
on the quantum computing device preparing at least one quantum superposition state based on the at least one starting quantum state
Implementation Method 2
extracting at least one random number based on the at least one quantum superposition state by performing at least one measurement
Data Source
Figure 1
Figure 2
Figure 3
AI summary
A computer-implemented method configured to create a non-empty set of random numbers by utilizing the non-deterministic features of a quantum device and the unpredictable outcome of a group operation applied to the elements of a mathematical structure comprising at least a cyclic group with a non-linear behaviour of the group operation, preferably an Abelian variety, as well as a random number generating device comprising a providing device and a quantum computing device, designed to execute the computer-implemented method and a computer program which when the program is executed by a random number generating device, causes the random number generating device to be configured according to the computer-implemented method, and/or to carry out the computer-implementable method.