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Optimal quantum circuits for general phase estimation.

Wim van Dam1, G Mauro D'Ariano, Artur Ekert

  • 1Departments of Computer Science and Physics, University of California, Santa Barbara, Santa Barbara, California 93106-5110, USA.

Physical Review Letters
|March 16, 2007
PubMed
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We developed a new method for quantum phase estimation using arbitrary quantum circuits. The optimal strategy involves optimizing initial state amplitudes for accurate phase estimation.

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Metrology

Background:

  • Accurate estimation of quantum mechanical phases is crucial for various quantum technologies.
  • Existing phase estimation methods often rely on specific circuit structures or initial states.

Purpose of the Study:

  • To develop a general framework for optimizing quantum phase estimation.
  • To identify the optimal strategy for estimating a phase parameter given multiple copies of a phase-rotation gate within a general quantum circuit.

Main Methods:

  • Utilized the polynomial method to analyze the phase estimation problem.
  • Considered a general quantum circuit with arbitrary input states, phase rotations, interspersed quantum operations, and general measurements.

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Main Results:

  • Demonstrated that the optimal phase estimation scheme has a simple, fixed form under a common quality measure.
  • Showed that optimizing the amplitudes of the initial state is sufficient for achieving optimal phase estimation in the general case.

Conclusions:

  • The study provides a significant simplification for designing optimal quantum phase estimation protocols.
  • The findings suggest that focusing on initial state preparation can lead to highly efficient phase estimation procedures.