Quantum Division Circuit Iterative Subtraction Precision
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Solution Overview
Problem
Current quantum computers lack the capability to perform basic arithmetic operations like division efficiently due to the absence of corresponding quantum logic gates for classical operations such as addition, subtraction, multiplication, and division, limiting their computational power and ability to execute quantum algorithms effectively.
Innovation Solution
A method for precise quantum division operation is introduced, involving the transformation of dividend and divisor data into specific quantum states, iterative subtraction operations, and fractional part operations to obtain the quotient, utilizing quantum state evolution and quantum logic gates like CNOT and TOFFOLI gates to generate a target quantum circuit for division.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If quantum logic gates are used to construct quantum algorithms, then quantum computing capabilities are enabled, but the ability to perform basic arithmetic operations like division is lost
Solution Approach 1:
The patent introduces quantum arithmetic logic gates (quantum adders, quantum subtractors, quantum multipliers, quantum dividers) as intermediary components that bridge quantum logic gates and classical arithmetic operations. These quantum arithmetic units serve as mediators that enable basic arithmetic operations within quantum circuits while maintaining quantum computing capabilities.
Solution Approach 2:
The patent creates universal quantum arithmetic logic gates that can perform multiple arithmetic operations (addition, subtraction, multiplication, division) within a unified quantum circuit framework. This multi-functional approach allows quantum computers to handle various basic arithmetic operations without requiring separate specialized circuits for each operation.
2Productivity
If quantum circuits are designed without arithmetic logic gates, then quantum algorithm execution is limited, but circuit complexity is reduced
Solution Approach 1:
The patent segments quantum arithmetic operations into modular quantum arithmetic logic gates (adders, subtractors, multipliers, dividers) that can be independently designed and then combined. This segmentation allows complex arithmetic operations to be broken down into manageable quantum circuit components, making the overall system more manageable despite increased functionality.
Solution Approach 2:
The patent implements nested quantum arithmetic logic gates where simpler quantum operations (like addition) are embedded within more complex operations (like multiplication or division). For example, multiplication is implemented using nested addition operations, and division uses nested subtraction operations, creating a hierarchical structure that manages complexity through organization.
Data Source
AI summary
A method and device for quantum division operation with precision. The method includes: obtaining dividend data and divisor data to be operated, transforming the dividend data into a first target quantum state, and transforming the divisor data into a second target quantum state; for the first target quantum state and the second target quantum state, iteratively executing quantum state evolution corresponding to a subtraction operation, counting the number of executions of the subtraction operation until the dividend data is reduced to a negative number, and outputting a finally obtained counting result as integer part of a quotient of dividing the dividend data by the divisor data; for a current first target quantum state and a current second target quantum state, iteratively executing quantum state evolution corresponding to fractional part operation of the quotient; and outputting a finally obtained quantum state on a qubit with preset precision bits.