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Everything about Continuous-variable quantum information

Continuous (non-quantized) quantities in quantum information science

Continuous-variable (CV) quantum information is the area of quantum information science that makes use of physical observables, like the strength of an electromagnetic field, whose numerical values belong to continuous intervals. One primary application is quantum computing. In a sense, continuous-variable quantum computation is "analog", while quantum computation using qubits is "digital." In more technical terms, the former makes use of Hilbert spaces that are infinite-dimensional, while the Hilbert spaces for systems comprising collections of qubits are finite-dimensional. One motivation for studying continuous-variable quantum computation is to understand what resources are necessary to make quantum computers more powerful than classical ones. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Continuous-variable quantum informationA 5-minute orientation
  2. Skim a recent paper: Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum informationInfluential work since 2022
  3. Pick up a classic book: HackingThe most-reprinted book on the subject
  4. Read the landmark paper: Continuous Variable Quantum Information: Gaussian States and BeyondCited 686 times
  5. Go sideways: Eastin–Knill theoremA closely related topic
  6. Go sideways: Quantum algorithmA closely related topic

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