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Everything about Quantum phase estimation algorithm

Quantum algorithm for eigenvalue estimation

In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator. Because the eigenvalues of a unitary operator always have unit modulus, they are characterized by their phase, and therefore the algorithm can be equivalently described as retrieving either the phase or the eigenvalue itself. The algorithm was initially introduced by Alexei Kitaev in 1995. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Quantum phase estimation algorithmA 5-minute orientation
  2. Skim a recent paper: On low-depth algorithms for quantum phase estimationInfluential work since 2022
  3. Pick up a classic book: Communications, Signal Processing, and SystemsThe most-reprinted book on the subject
  4. Read the landmark paper: Randomized Quantum Algorithm for Statistical Phase EstimationCited 93 times
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  1. Overview of the algorithm
  2. Detailed description of the algorithm
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🆕 Influential since 2022

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