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Level 5 · Quantum information

University and graduate study

Level 5 icon Advanced undergraduate: University and graduate study

Build the state, channel, and measurement tools needed for quantum causal models.

Lessons in this level

LessonObjectiveLab
L5-01 · States and the Born ruleCalculate measurement probabilities from normalized amplitudes.Qubits and the Bloch sphere
L5-02 · Gates and circuit orderApply unitary gates in the correct order.Qubits and the Bloch sphere
L5-03 · Phase and interferencePredict interference after a relative phase change.Interference
L5-04 · Tensor products and entanglementDistinguish entanglement from classical correlation.Entanglement and Bell tests
L5-05 · Density operators and reduced statesCalculate purity and explain a partial trace.Noise and quantum channels
L5-06 · Quantum channels and complete positivityCheck a channel with its Kraus operators.Noise and quantum channels
L5-07 · Measurements and instrumentsSeparate an outcome probability from an outcome-conditioned state.Qubits and the Bloch sphere
L5-08 · Bell correlations and the CHSH testCalculate a CHSH value and state its assumptions.Entanglement and Bell tests
L5-09 · Entropy and quantum tomographyExplain what can be reconstructed from repeated measurements.Qubits and the Bloch sphere
L5-10 · Noise, encoding, and error correctionDistinguish a noise channel from an error-correction procedure.Noise and quantum channels

Watch & listen

Single Systems | Understanding Quantum Information & Computation | Lesson 01. Qiskit · 1h 10m · 2022. Lesson 1 of John Watrous’s Qiskit course: single quantum systems.

More for every level on the Watch and listen page.