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Fixed-point oblivious quantum amplitude-amplification algorithm.

Bao Yan1,2, Shijie Wei2,3, Haocong Jiang4

  • 1State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou, 450001, China.

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Summary
This summary is machine-generated.

This study introduces a fixed-point oblivious quantum amplitude-amplification (FOQA) algorithm. It solves the "soufflé problem" in quantum search, maintaining quadratic speedup for improved quantum algorithms.

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Area of Science:

  • Quantum Computing
  • Quantum Algorithms

Background:

  • Grover's rotation operator requires phase flips for initial and target states.
  • Oblivious amplitude amplification is needed when the initial state is unknown, but faces the "soufflé problem" without knowing the number of target items.

Purpose of the Study:

  • To present a novel fixed-point oblivious quantum amplitude-amplification (FOQA) algorithm.
  • To address the limitations of existing oblivious amplitude amplification methods, specifically the "soufflé problem".

Main Methods:

  • Introduction of damping inspired by A. Mizel's work.
  • Construction of a quantum circuit for the FOQA algorithm within the framework of duality quantum computing.

Main Results:

  • The FOQA algorithm effectively avoids the "soufflé problem".
  • The algorithm preserves the quadratic speedup characteristic of quantum search.

Conclusions:

  • The FOQA algorithm offers a robust solution for oblivious amplitude amplification.
  • This method can serve as a crucial subroutine to enhance the performance of various quantum algorithms.