Quantum Circuit Hashing Using State-Vector Binary Mixing
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing hash functions for quantum information are not universal, one-way, deterministic, quick to compute, or collision-resistant, making them vulnerable to reversibility and adversarial attacks.
Innovation Solution
A method involving quantum state vectors is used to generate cryptographic hash digests by iteratively applying logical operations, such as XOR, to floating point binary representations of quantum state vectors, producing an irreversible binary string that is then input to a hash function.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If existing hash functions for quantum information are used, then quantum information can be processed, but the hash function is reversible and not collision-resistant
Solution Approach 1:
The patent inverts the traditional quantum hash function approach by using classical logical operations (XOR) on binary representations of quantum state vectors instead of quantum operations. This inversion transforms the reversible quantum process into an irreversible classical process, achieving one-way functionality and collision resistance while maintaining determinism.
Solution Approach 2:
The patent substitutes quantum mechanical operations with classical computational operations. Specifically, it replaces quantum state manipulations with classical XOR operations on binary strings derived from quantum state vectors. This substitution eliminates the reversibility inherent in quantum operations while preserving the ability to process quantum information, achieving traditional hash qualities.
2Adaptability or versatility
If quantum operations are used to generate hash digests, then quantum information is processed, but special quantum hardware is required
Solution Approach 1:
The patent creates a classical copy of quantum information by converting quantum state vectors into binary string representations. This copying process allows the quantum information to be processed using classical computational resources rather than requiring quantum hardware, thereby reducing device complexity while maintaining the ability to handle quantum information.
Solution Approach 2:
The patent introduces binary string representations as an intermediary between quantum state vectors and hash computation. This intermediary layer allows quantum information to be transformed into a classical format that can be processed by standard computational devices, eliminating the need for special quantum hardware while preserving quantum information processing capabilities.
3Reliability
If quantum state vectors are directly hashed, then quantum information is preserved, but the hash function lacks determinism and universality
Solution Approach 1:
The patent changes the parameter representation of quantum information by converting quantum state vectors into binary string formats. This parameter transformation enables the application of classical deterministic hash functions to quantum data, achieving universality and determinism while preserving the essential characteristics of the original quantum information through the binary representation.
Data Source
AI summary
Methods, systems, and apparatus for generating a cryptographic hash digest. In one aspect, a method includes obtaining data representing a quantum circuit. An initial quantum state vector is generated, where the initial quantum state vector includes an input quantum state vector for the quantum circuit. The initial quantum state vector is used to generate one or more evolved quantum state vectors, where each evolved quantum state vector is generated by applying a respective portion of the quantum circuit to the initial quantum state vector. Logical operations are iteratively applied to floating point binary representations of the initial and evolved quantum state vectors to obtain a binary string, and a hash function is applied to the binary string to obtain a cryptographic hash digest of the quantum circuit.