|ψ⟩
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|ψ⟩ = α|0⟩ + β|1⟩  •  iℏ ∂|ψ⟩/∂t = Ĥ|ψ⟩
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Quantum Teleportation Protocol | Disembodied State Transfer

Quick Technical Answer: Quantum teleportation transmits an unknown quantum state |ψ⟩ from a sender (Alice) to a receiver (Bob) using a pre-shared entangled Bell pair and 2 classical bits of communication without physically moving the qubit or violating the no-cloning theorem.
Formula / Unitary: |\psi\rangle |\Phi^+\rangle = \frac{1}{2} \sum_{i=0}^3 |\beta_i\rangle (\sigma_i |\psi\rangle)
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Protocol Execution Steps

1. Alice and Bob share an entangled Bell pair (|00⟩ + |11⟩)/√2. 2. Alice performs a Bell state measurement (CNOT followed by Hadamard) on her unknown qubit |ψ⟩ and her half of the Bell pair. 3. Alice measures both qubits, obtaining 2 classical bits (00, 01, 10, or 11). 4. Alice transmits the 2 bits to Bob over a classical channel. 5. Bob applies conditional Pauli corrections (I, X, Z, or XZ) to reconstruct the exact state |ψ⟩.

Frequently Asked Questions

Does quantum teleportation allow faster-than-light communication?

No. Bob cannot reconstruct the state until he receives the 2 classical bits from Alice, which travel at or below the speed of light.

Related Topics & Quantum Guides:

Superdense CodingCNOT Gate (CX)Quantum EntanglementNo-Cloning Theorem