Quantum Logic Compression With Statistical Operators for Classical Data

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Solution Overview

Problem

The ensemble interpretation of quantum mechanics, which allows for efficient representation of quantum systems using statistical probabilities, cannot be directly applied to classical computing, leading to inefficiencies in storage and memory usage.

Innovation Solution

Implementing quantum mechanical principles, such as statistical operators and swap gates, to represent classical data as a Classical Quantum Multi-Element (CQME) system, enabling compression and decompression through classical operations and quantum mechanical processes.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Quantity of substance

If quantum mechanical principles are applied to classical computing, then storage efficiency is improved, but device complexity increases

Engineering Contradiction:

Improvestorage capacityVSAvoidsystem complexity

Core Design Contradiction:

Quantity of substanceVSDevice complexity

Solution Approach 1:

The patent introduces statistical operators as intermediary mathematical objects that bridge quantum mechanical concepts and classical computing. These operators represent quantum states without requiring actual quantum hardware, enabling quantum-inspired compression algorithms to run on classical systems while maintaining the benefits of quantum state representation

Inventive Principle:

Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent replaces physical quantum mechanical systems with mathematical abstractions (statistical operators and probability distributions). This substitution allows the system to leverage quantum-inspired algorithms without the complexity of actual quantum hardware, achieving storage efficiency through mathematical modeling rather than physical quantum effects

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Quantity of substance

If statistical probabilities are used to represent quantum states, then memory usage is reduced, but measurement precision is compromised

Engineering Contradiction:

Improvememory usageVSAvoidstate representation accuracy

Core Design Contradiction:

Quantity of substanceVSMeasurement precision

Solution Approach 1:

The patent changes the representation parameters from exact qubit states to statistical probability distributions. By using statistical operators that capture the essential properties of quantum states through probabilities and expectation values, the system achieves compact representation while preserving measurement precision through the statistical properties of the operators

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent creates mathematical copies (statistical operators) that represent quantum states without storing the full quantum wavefunction. These operator copies contain sufficient information to reproduce measurement outcomes and quantum state properties, achieving compression while maintaining precision through the algebraic structure of the operators

Inventive Principle:

Principle #26Copying

3Quantity of substance

If swap gates are applied as one-way functions, then data compression is achieved, but reversibility is lost

Engineering Contradiction:

Improvedata sizeVSAvoiddata reversibility

Core Design Contradiction:

Quantity of substanceVSStability of the object's composition

Solution Approach 1:

The patent applies statistical operators and compression algorithms in advance to reduce data size before storage or transmission. By performing compression operations preliminarily, the system achieves space efficiency while the compressed statistical representation retains enough information for accurate reconstruction through inverse statistical operations

Inventive Principle:

Principle #10Preliminary action

Solution Approach 2:

The patent incorporates feedback mechanisms where the statistical properties of compressed data are used to guide further compression and reconstruction processes. The statistical operators provide feedback about the data distribution, enabling adaptive compression that maintains reversibility by preserving the statistical structure necessary for accurate data recovery

Inventive Principle:

Principle #23Feedback

Data Source

PatentUS12524374B2Quantum mechanical logic for classical computation

Publication Date: 2026.01.13 SRIVASTAVA ANKUR

AI summary

Methods, systems, and apparatus for logical reverse computing and circular compression and decompression. In one aspect, a method for compressing a classical binary data input includes obtaining a classical binary data input; performing classical operations on the classical binary data input to obtain metadata for the classical binary data input, the metadata comprising statistical operators, wherein the classical operations are based on the ensemble interpretation of quantum mechanics; applying swap gates to the metadata to compress the metadata, wherein the swap gates swap data as a one-way function and application of the swap gates is defined by values of the statistical operators; and providing the compressed metadata as a compressed classical binary data input.