Playground

超密 Superdense

Send 2 classical bits using only 1 qubit

Protocol Visualization

Alice
State
½ of |Φ⁺⟩
Message
00
Quantum Channel
Bob
State
½ of |Φ⁺⟩
1

Setup: Shared Entanglement

Alice and Bob share a Bell pair: (|00⟩ + |11⟩)/√2

Select Message (2 bits)

Encoding Operation

I (Identity)
Do nothing
00 → I (Identity)
01 → X (Bit flip)
10 → Z (Phase flip)
11 → ZX (Both)

How It Works

  • • Pre-shared entanglement enables this
  • • Alice encodes 2 bits into 1 qubit
  • • Only 1 qubit travels the channel
  • • Bob uses both qubits to decode
  • • Opposite of quantum teleportation!

Classical vs Quantum

Classical:2 bits → 2 bits sent
Quantum:2 bits → 1 qubit sent