Quantum × AI

Why AI fixes quantum errors, and whether quantum will repay it.

11 lessons, 20 course topics, about 141 min at Plain. Opened pages are remembered in this browser only.

Start here

What is quantum computing?about 3 min at Plain

The lessons, in reading order

  1. What is quantum computing?

    You'll be able to say why a quantum computer needs constant error correction, and what an AI decoder adds.

    about 3 min at Plain Plain, Working or Formal

  2. What is inside the machine?

    You'll be able to point to the main parts of a quantum computer and say what each is for.

    about 9 min at Plain One depth After: What is quantum computing?

  3. What is a qubit made of?

    You'll be able to name the parts of a transmon qubit and say what each one does.

    about 3 min at Plain Plain, Working or Formal After: What is quantum computing?

  4. Is quantum computing just quantum mechanics?

    You'll be able to say what separates quantum computing from quantum mechanics, and track a qubit on the Bloch sphere.

    about 6 min at Plain Plain, Working or Formal After: What is a qubit made of?

  5. What is quantum error correction?

    You'll be able to explain how a surface code finds an error without reading the data, and why a threshold matters.

    about 3 min at Plain Plain, Working or Formal After: What is quantum computing?

  6. What is a logical qubit?

    You'll be able to work out how many physical qubits one logical qubit costs at a given error rate.

    about 3 min at Plain Plain, Working or Formal After: What is quantum error correction?

  7. Why do the algorithms work?

    You'll be able to say why one mechanism, phase kickback, runs Deutsch-Jozsa, Simon and Shor.

    about 3 min at Plain Plain, Working or Formal After: Is quantum computing just quantum mechanics?

  8. Will quantum boost AI?

    You'll be able to rank the four ways quantum might help AI, and say which survive the data-loading toll.

    about 3 min at Plain Plain, Working or Formal After: What is a logical qubit?

  9. How do the companies compare?

    You'll be able to compare the four qubit technologies on speed, error rate and scale, and say why none wins on all three.

    about 6 min at Plain Plain, Working or Formal After: Will quantum boost AI?

  10. Where might quantum earn its keep?

    You'll be able to say which proposed uses of a quantum computer have a real case and which are still hype.

    about 3 min at Plain Plain, Working or Formal After: How do the companies compare?

  11. Do quantum sensors and networks matter sooner?

    You'll be able to explain why quantum sensors already ship, and what quantum key distribution does and does not do.

    about 3 min at Plain Plain, Working or Formal After: Where might quantum earn its keep?

The course: The Machinery

The mathematics underneath, topic by topic, with every claim proved or marked as not. Open the course page.

The Formal Framework Four topics, each taught four ways4 topics, about 15 min at Plain
  1. The postulates of quantum mechanics, for computing

    about 4 min at Plain One depth After: Is quantum computing just quantum mechanics?

  2. Density matrices & mixed states

    about 4 min at Plain One depth After: The postulates of quantum mechanics, for computing

  3. Measurement, properly

    about 4 min at Plain One depth After: Density matrices & mixed states

  4. The no-cloning theorem

    about 3 min at Plain One depth After: Measurement, properly

Protocols Three topics, the postulates turned into something you can do3 topics, about 12 min at Plain
  1. Quantum teleportation

    about 4 min at Plain One depth After: The no-cloning theorem

  2. Superdense coding

    about 4 min at Plain One depth After: Quantum teleportation

  3. Schmidt decomposition

    about 4 min at Plain One depth After: Superdense coding

Building-block algorithms Three topics, the first speedups you can actually prove3 topics, about 15 min at Plain
  1. Deutsch's algorithm

    about 5 min at Plain One depth After: Schmidt decomposition

  2. The Deutsch-Jozsa algorithm

    about 5 min at Plain One depth After: Deutsch's algorithm

  3. Simon's algorithm

    about 5 min at Plain One depth After: The Deutsch-Jozsa algorithm

The Fourier transform Three topics: the machinery Shor's algorithm is actually built from3 topics, about 15 min at Plain
  1. The quantum Fourier transform

    about 5 min at Plain One depth After: Simon's algorithm

  2. Quantum phase estimation

    about 4 min at Plain One depth After: The quantum Fourier transform

  3. Period finding & continued fractions

    about 6 min at Plain One depth After: Quantum phase estimation

Quantum algorithms for optimization & simulation Two topics: the near-term half of the zoo, with no speedup proof to its name2 topics, about 12 min at Plain
  1. QAOA & VQE

    about 6 min at Plain One depth After: Period finding & continued fractions

  2. Quantum simulation & chemistry

    about 6 min at Plain One depth After: QAOA & VQE

Information theory Two topics: putting a number on uncertainty, classical and quantum2 topics, about 10 min at Plain
  1. Shannon entropy

    about 4 min at Plain One depth After: Quantum simulation & chemistry

  2. Von Neumann entropy & the Holevo bound

    about 6 min at Plain One depth After: Shannon entropy

Complexity theory Three topics: how hard the general versions of this page's own problems actually are3 topics, about 17 min at Plain
  1. QMA & the local Hamiltonian problem

    about 6 min at Plain One depth After: Von Neumann entropy & the Holevo bound

  2. QMA-completeness

    about 5 min at Plain One depth After: QMA & the local Hamiltonian problem

  3. Adiabatic universality & the quantum PCP conjecture

    about 6 min at Plain One depth After: QMA-completeness

How this track counts toward your rank274 points in all

Your rank is a code distance, d3 up to d25. Points come from questions you answer correctly and game levels you finish, never from opening a page, and each point belongs to one track. Your overall rank is set by your weakest track, and the top rank needs 80% of every track. This track holds 274 points: 12 lesson check questions, 1 point each (12); 20 course topic checks, 2 points each (40); 74 game levels, up to 3 points each for gold (222). Its games: Circuit Golf (9), Grover's Escape (9), chsh (9), duel (9), calibration (9), qttt (9), Surface Code Survival (4), Classical Strikes Back (6), Agent Lab (5), Magic State Factory (5).

Points needed on this track, when it is your weakest, for each rank
RankPoints
d30
d520
d740
d960
d1180
d13100
d15120
d17140
d19160
d21180
d23200
d25220
Prove itThe Decoder Duel: you are the AI Judge a claimWhich labs are below threshold? Keep goingNext track: Optimisation