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Everything about Swap test

Technique for comparing quantum states

The swap test is a procedure in quantum computation that is used to check how much two quantum states differ, appearing first in the work of Barenco et al. and later rediscovered by Harry Buhrman, Richard Cleve, John Watrous, and Ronald de Wolf. It appears commonly in quantum machine learning, and is a circuit used for proofs-of-concept in implementations of quantum computers. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Swap testA 5-minute orientation
  2. Skim a recent paper: Practical quantum protocols for blind millionaires’ problem based on rotation encryption and swap testInfluential work since 2022
  3. Pick up a classic book: American FilmThe most-reprinted book on the subject
  4. Read the landmark paper: swap test and Hong-Ou-Mandel effect are equivalentCited 182 times
  5. Go sideways: Hadamard testA closely related topic
  6. Go sideways: Quantum phase estimation algorithmA closely related topic

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🗂️ The subject at a glance

  1. Explanation of the circuit

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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