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Guided tour

11 short steps. Each one ends on a real page with the example already loaded, and tells you what you should see — because on this subject the intuitive answer is usually the wrong one, and being wrong once teaches more than three paragraphs explaining why. Start anywhere; nothing is stored about you.

Foundations

  1. 1. A qubit is not both 0 and 1The usual explanation of superposition is misleading, and the Workbench can show you why in one circuit.
  2. 2. Correlation is what entanglement looks likeA Bell pair and two independent coin flips are identical in a histogram. The difference only shows in the correlations.
  3. 3. Depth is the number that costs youTwo circuits with the same gate count can take very different times to run and decohere by very different amounts.

Error correction

  1. 4. A code never looks at what it protectsError correction has to detect errors without measuring the data, because measuring it would destroy the superposition.
  2. 5. Distance 3 corrects one error, and breaks on twoThe relationship between code distance and correctable errors is the most commonly misread number in the field.
  3. 6. The failure a syndrome cannot showSome errors leave no trace at all, and that is precisely what a code's distance measures.
  4. 7. Above threshold, more qubits make it worseError correction is not a dial you turn up. Below the threshold it works and above it actively harms.
  5. 8. Most of a fault-tolerant computer makes magic statesA resource estimate quoted as a qubit count is usually quoting the smallest part of the machine.

Evidence

  1. 9. Zero observed failures is not a rate of zeroThe most persuasive number on a leaderboard is often the one with the least evidence behind it.
  2. 10. Two numbers are not a comparisonMost invalid scientific comparisons look exactly like valid ones until you check what was held fixed.
  3. 11. A matching hash does not prove where a number came fromReproducibility hashing is load-bearing here, and it is routinely asked to prove something it cannot.