Reversible Hash Circuit Synthesis for Input Recovery

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Solution Overview

Problem

Existing cryptographic hash functions are one-way, making it difficult to efficiently reverse them, which is a challenge for cybersecurity and quantum computing applications.

Innovation Solution

Generate a reversible hash circuit by transforming an irreversible hash function into a reversible hash circuit using a limited set of operations and gates, such as AND and XOR, and utilize a circuit synthesis tool to map the hash function to reversible gates, allowing for efficient hash reversal.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a one-way hash function is used for cryptographic encryption, then data security is improved, but the ability to reverse the hash function deteriorates

Engineering Contradiction:

Improvedata securityVSAvoidhash reversal capability

Core Design Contradiction:

ReliabilityVSEase of operation

Solution Approach 1:

The patent applies inversion by creating a reversible hash function that can operate in both forward and reverse directions. The system transforms the traditional one-way hash function into a two-way function using quantum computing techniques, allowing data to be encrypted and then decrypted by reversing the hash operation, thus solving the contradiction between security and reversibility

Inventive Principle:

Principle #13The other way round (Inversion)

Solution Approach 2:

The patent replaces classical mechanical computing systems with quantum computing systems. By using quantum computers to generate and reverse hash functions, the system achieves both cryptographic security and reversibility, as quantum mechanics allows for operations that are both secure and potentially reversible through quantum state manipulation

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Productivity

If quantum computing is used to reverse hash functions, then hash reversal efficiency is improved, but the complexity of the system increases

Engineering Contradiction:

Improvehash reversal efficiencyVSAvoidsystem complexity

Core Design Contradiction:

ProductivityVSDevice complexity

Solution Approach 1:

The patent introduces an intermediary system that bridges classical and quantum computing domains. The system uses a classical computer to generate the hash function and then employs a quantum computer specifically for the reversal operation, acting as an intermediary that provides quantum acceleration without requiring the entire system to be quantum, thus managing complexity while improving efficiency

Inventive Principle:

Principle #24Intermediary (Mediator)

3Ease of operation

If a reversible hash circuit is generated from an irreversible hash function, then the ability to obtain input from output is improved, but the circuit complexity increases

Engineering Contradiction:

Improveinput retrieval capabilityVSAvoidcircuit complexity

Core Design Contradiction:

Ease of operationVSDevice complexity

Solution Approach 1:

The patent segments the hash function into distinct reversible components that can be individually manipulated. By breaking down the irreversible hash function into smaller reversible building blocks, the system can reconstruct the input from output while managing circuit complexity through modular design and systematic transformation of each segment

Inventive Principle:

Principle #1Segmentation

Data Source

PatentUS12500774B2Systems and methods for generating and implementing a reversible hash circuit

Publication Date: 2025.12.16 ANAMETRIC INC

AI summary

Systems and methods for generating reversible hash circuits from irreversible hash functions are disclosed, along with reversible hash circuits generated using such systems and methods. Generally, embodiments may obtain a hash function and generate a reversible hash circuit by mapping that irreversible hash function to a reversible hash circuit that includes reversible elements such that the reversible hash circuit may be utilized to obtain the corresponding input values from output values of the hash function.