QuantumSimulator
Interactive Course
Interactive chapters from intuition to mastery
Structured Lessons
Eight modules with formulas and self-checks
Quantum Brain
Navigate lessons, laws, gates, devices, and tools
Guided Experiments
Hands-on circuits that teach one idea each
Circuit Lab
Build circuits, run them, and see the results
Gate Reference
Quick reference for all quantum gates
Cryostat Studio
3D cryostat design and simulation
Component Catalog
Browse all cryostat components
System Checks
Check your design for errors
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physics
Interactive Course
Interactive chapters from intuition to mastery
Structured Lessons
Eight modules with formulas and self-checks
Quantum Brain
Navigate lessons, laws, gates, devices, and tools
Guided Experiments
Hands-on circuits that teach one idea each
simulator
Circuit Lab
Build circuits, run them, and see the results
Gate Reference
Quick reference for all quantum gates
wiringStudio
Cryostat Studio
3D cryostat design and simulation
Component Catalog
Browse all cryostat components
System Checks
Check your design for errors
← All modules
3

Entanglement and Multi-Qubit Thinking

Correlations, spin, tunneling, and the road to algorithms

intermediate~30 min4 lessons

When multiple qubits interact, the joint system can have properties that no individual qubit possesses. This module covers entanglement, spin as a physical qubit realization, quantum tunneling, and phase kickback — the mechanism that makes quantum algorithms faster.

Quantum Brain

See prerequisite ideas, theorem links, simulator paths, and hardware links for this module.

Prerequisites
Measurement, Phase, and Interference
What you will learn
  • Explain entanglement without invoking faster-than-light communication
  • Describe how spin-1/2 maps to the qubit abstraction
  • Trace phase kickback through a controlled gate step by step

Lessons in this module

1
Entanglement

Why a joint state can carry correlations no single qubit carries

8 min
2
Spin

How spin-1/2 particles become physical qubits

7 min
3
Tunneling

How quantum particles pass through barriers that classical objects cannot

7 min
4
Phase Kickback: Road to Algorithms

The mechanism that lets controlled gates encode information into phase

8 min
Module exam

10 questions — 90% or higher to pass

Complete all lessons first, then take the exam.

Take exam

Related experiments

Bell State
Entangle two qubits so they are perfectly correlated
GHZ State
Extend entanglement to three qubits
Phase Kickback
Watch information flow backward through a controlled gate
Previous moduleMeasurement, Phase, and InterferenceNext moduleQuantum Principles, Theorems, and Laws