Quantum Algorithm Concatenation for Phase Estimation
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Solution Overview
Problem
Conventional quantum algorithms face limitations such as long execution times and dependency on accurate initial parameters, which hinder their efficiency and accuracy in quantum computing tasks.
Innovation Solution
The system concatenates multiple quantum algorithms by using the output of one algorithm as an initial parameter for another, allowing for early termination of the first algorithm to generate optimized outputs that enhance the performance of the second algorithm, thereby overcoming inherent limitations and reducing runtime.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If quantum algorithms utilize classical optimization iterations to achieve specific analysis features, then the algorithms can handle various computational tasks, but the execution time becomes substantially long
Solution Approach 1:
The patent applies preliminary action by performing a first quantum algorithm to generate an initial parameter before executing the second quantum algorithm. This preliminary computation provides a head start for the subsequent algorithm, reducing the overall execution time while maintaining versatility in handling different computational tasks.
Solution Approach 2:
The patent segments a single quantum computational task into multiple sequential quantum algorithms. By dividing the computation into distinct stages (first quantum algorithm generating initial parameters, second quantum algorithm using those parameters), the system achieves both versatility in solving complex problems and reduced execution time compared to a monolithic approach.
2Measurement precision
If quantum algorithms minimize dependency on classical operations to achieve highly accurate results, then the accuracy improves, but the requirement for accurate initial parameters increases
Solution Approach 1:
The patent applies self-service by using the output of the first quantum algorithm to automatically generate the initial parameter for the second quantum algorithm. This eliminates the need for external manual input of initial parameters, reducing the reliability burden on external sources while maintaining high accuracy through the quantum-generated parameters.
Solution Approach 2:
The first quantum algorithm acts as an intermediary that bridges the gap between random initial states and the accurate initial parameters required by the second quantum algorithm. This intermediary step transforms less accurate outputs into suitable initial conditions, enabling the second algorithm to achieve high accuracy without demanding perfectly accurate external initial parameters.
3Device complexity
If a single quantum algorithm is used to address computations, then the system complexity is low, but inherent drawbacks such as long runtime or inaccurate results cannot be overcome
Solution Approach 1:
The patent merges multiple quantum algorithms into a unified computational workflow where the output of one algorithm feeds into the next. This combination allows the system to overcome the inherent drawbacks of individual algorithms (long runtime, accuracy limitations) while maintaining relatively simple quantum circuit structures, thus improving productivity without excessive complexity.
Data Source
AI summary
Techniques regarding quantum algorithm concatenation are provided. For example, one or more embodiments described herein can comprise a system, which can comprise a memory that can store computer executable components. The system can also comprise a processor, operably coupled to the memory, and that can execute the computer executable components stored in the memory. The computer executable components can comprise a concatenation component, operatively coupled to the processor, that can concatenate a first quantum algorithm and a second quantum algorithm by using an output of the first quantum algorithm as an initial parameter in the second quantum algorithm.