Pseudo-Random Quantum State Generation via Hamiltonian Dynamics

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Solution Overview

Problem

Existing methods for generating random quantum states and verifying quantum devices are limited by the need for highly engineered, time-dependent control of quantum hardware, restricting their application to a narrow class of quantum systems and deep quantum evolution.

Innovation Solution

A system and method for generating pseudo-random quantum states using coherently interacting quantum systems, where quantum systems are prepared with high fidelity and evolved under the influence of couplings and interactions, allowing for measurement-based verification of quantum devices without local or temporal control, applicable to both analog and digital devices.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If highly engineered, time-dependent control of quantum hardware is used to generate random quantum states, then the fidelity and randomness of quantum states can be improved, but the device complexity and ease of operation deteriorate

Engineering Contradiction:

Improvefidelity of quantum stateVSAvoidcontrol complexity

Core Design Contradiction:

Measurement precisionVSDevice complexity

Solution Approach 1:

The quantum system generates random states autonomously through its inherent dynamics and interactions, without requiring external time-dependent control. The system uses its own internal degrees of freedom and natural evolution to produce the random state ensemble, eliminating the need for complex control mechanisms while maintaining high fidelity

Inventive Principle:

Principle #25Self-service

Solution Approach 2:

The patent replaces the mechanical/time-dependent control system with a quantum mechanical approach where the system's own Hamiltonian dynamics and interactions generate the random states. This substitution eliminates the need for external control mechanisms and simplifies the overall system architecture

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Measurement precision

If highly engineered, time-dependent control of quantum hardware is used, then random quantum state generation can be achieved with high fidelity, but the adaptability to different quantum systems deteriorates

Engineering Contradiction:

Improvefidelity of quantum stateVSAvoidapplicability to different quantum systems

Core Design Contradiction:

Measurement precisionVSAdaptability or versatility

Solution Approach 1:

The patent establishes a universal framework that applies to multiple types of quantum systems (atoms, ions, superconducting qubits, quantum dots) without requiring system-specific control mechanisms. The approach uses general quantum mechanical principles that are common across different platforms, enabling broad applicability while maintaining high fidelity

Inventive Principle:

Principle #6Universality (Multi-functionality)

Solution Approach 2:

The method allows for parameter changes in the Hamiltonian and interaction strengths to adapt to different quantum systems. By adjusting these parameters, the same fundamental approach can be applied across different quantum platforms, achieving both high fidelity and versatility

Inventive Principle:

Principle #35Parameter changes

3Reliability

If existing device verification protocols based on random ensembles are used, then quantum supremacy tests and cryptography applications can be performed, but the extent of automation and ease of operation deteriorate due to deep quantum evolution requirements

Engineering Contradiction:

Improveverification accuracyVSAvoidoperation simplicity

Core Design Contradiction:

ReliabilityVSEase of operation

Solution Approach 1:

The patent performs preliminary actions by preparing the quantum system in a known initial state and defining the Hamiltonian dynamics beforehand. This allows the verification protocol to proceed with simpler operations during the actual verification process, as the complex evolution has been pre-characterized through the system's natural dynamics

Inventive Principle:

Principle #10Preliminary action

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

Enables the generation of random quantum states and verification of quantum devices across a wide class of systems, including those with shallow depth, improving the applicability and accuracy of quantum device benchmarking.

Implementation Method 1

applying one or more signals that quantum mechanically evolve the quantum state under the influence of couplings (e.g., intensity of a laser field driving transitions between quantum states)

Methodology Applied

Scientific EffectElectromagnetic radiation driving transitions: Electromagnetic Induction

Implementation Method 2

interactions (e.g., van der Waals interactions) between the quantum systems and/or between the quantum systems and a source of decoherence

Methodology Applied

Scientific EffectVan der Waals interactions: Van der Waals Force

Data Source

PatentUS20230274177A1Method for generation of random quantum states and verification of quantum devices

Publication Date: 2023.08.31 CALIFORNIA INST OF TECH

AI summary

Systems and methods for generating random quantum states or benchmarking quantum machines.