Quantum Squaring Circuit With Reduced T-Gate and CNOT Overhead
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Solution Overview
Problem
Current quantum computers face challenges due to noise errors, particularly in CNOT gates, and limited resources, making it difficult to implement quantum error correcting codes, which affects the implementation of quantum squaring operations.
Innovation Solution
A quantum squaring circuit is designed with optimized T-count, CNOT count, T-depth, and CNOT depth, utilizing logical-AND gates and uncomputation gates to reduce resource costs, and incorporates a quantum adder and uncomputation circuit to minimize garbage outputs.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum error correcting codes and fault tolerant gate sets are used, then fault tolerance is improved, but circuit complexity and resource requirements increase
Solution Approach 1:
The patent extracts and eliminates unnecessary T-gates from the quantum circuit implementation. By using alternative gate sequences and optimization techniques, the circuit achieves fault tolerance without requiring the full set of Clifford+T gates, thereby reducing circuit complexity while maintaining reliability
Solution Approach 2:
The patent changes the gate set parameters by replacing T-gates with alternative gate combinations. This parameter change allows the circuit to maintain fault tolerance properties while reducing the overall complexity and resource requirements of the quantum circuit
2Reliability
If T-gates are used in quantum circuits, then fault tolerance is improved, but implementation cost and resource consumption increase
Solution Approach 1:
The patent removes T-gates from the circuit implementation by using alternative gate sequences. This extraction of problematic gates reduces implementation cost and resource consumption while preserving the fault tolerance characteristics through other optimization techniques
Solution Approach 2:
The patent replaces expensive T-gates with cheaper alternative gate combinations that achieve the same functional outcome. This substitution reduces the resource consumption and implementation cost associated with fault tolerant quantum circuits
3Adaptability or versatility
If quantum squaring operation is implemented with standard circuits, then computational functionality is achieved, but resource consumption and circuit depth increase
Solution Approach 1:
The patent segments the quantum squaring operation into optimized sub-circuits that use fewer resources. By dividing the computation into manageable segments with optimized gate sequences, the circuit achieves the same computational functionality with reduced resource consumption and lower circuit depth
Solution Approach 2:
The patent uses partial action by implementing only the necessary computational steps required for squaring, avoiding unnecessary operations. This partial approach reduces resource consumption and circuit depth while maintaining the essential computational functionality
Data Source
AI summary
Aspects of the disclosure provide for a method. In some examples, the method includes determining partial products for a multi-bit value. The method also includes performing quantum full adder and quantum half adder operations sequentially in a loop for a programmed number of iterations. The method also includes storing a result of the quantum full adder and quantum half adder operations as a square of the multi-bit value. The method also includes uncomputing the partial products and the quantum full adder and quantum half adder operations.