Pro chapter

Quantum Circuits and Protocols

Circuit notation, no-cloning, teleportation, and superdense coding

This chapter is part of the paid advanced curriculum. The free path remains complete through multi-qubit foundations; Pro unlocks this full chapter, its advanced exercises, and the currently published guided calculation labs.

Learning objectives

  • Read time order, wires, controls, and measurements in circuit diagrams.
  • Explain why arbitrary unknown states cannot be copied by a unitary circuit.
  • Trace the information flow in teleportation without claiming faster-than-light transfer.
  • Compare teleportation and superdense coding as protocols that combine entanglement with classical communication.

What Pro unlocks here

  • Circuit notation
  • No-cloning
  • Teleportation
  • Superdense coding
  • Worked example