Pricing…Open Lab
Chapter 04 of 14 · ~30 min

Measurement

One shot gives back one ordinary bit, picked at random using the state's chances. Real counts wobble around the perfect chances. The typical wobble shrinks like 1/√N, where N is the number of shots. Measuring also changes the qubit: afterwards it sits in the state you just saw.

What does one measurement give you?

Why care? Measurement is the only way to get an answer out of a quantum computer. If you misread it, you misread everything.

A shot is one full run of a circuit, ending in one measurement. It gives back one ordinary bit string. Nothing more.

Take a qubit in the state α|0⟩ + β|1⟩. Here α and β are its amplitudes, the numbers that set its chances. A shot reads 0 with a chance of α squared. It reads 1 with a chance of β squared. (If the amplitudes are complex, square their sizes.) The shot does not give back α or β.

Run many shots and you get counts, such as 487 zeros and 513 ones. Counts are samples from the perfect chances. Think of tasting soup with a spoon. Each spoonful tells you something about the pot, but it is not the whole pot. In the same way, counts are evidence about the state, not the state itself.

What the rest of this chapter covers
  1. Why don't 1,000 shots of a 50/50 state give exactly 500 each?
  2. Run it: sample a balanced stateINTERACTIVE
  3. Try this: remove the randomnessINTERACTIVE
  4. What happens to the qubit after measurement?
  5. What do people often get wrong about measurement?
  6. What changes on a real device?
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Measurement · QPU137