No-Cloning Theorem | Impossibility of Duplicating Unknown Qubits
Quick Technical Answer:
Formulated by Wootters, Zurek, and Dieks in 1982, the No-Cloning Theorem states that it is impossible to create an identical independent copy of an arbitrary unknown quantum state through any unitary operation due to the linearity of quantum mechanics.
Formula / Unitary:
U(|\psi\rangle |0\rangle) = |\psi\rangle |\psi\rangle \implies \langle\psi|\phi\rangle = (\langle\psi|\phi\rangle)^2 \implies |\langle\psi|\phi\rangle| \in \{0, 1\}
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Frequently Asked Questions
How does quantum teleportation comply with the No-Cloning Theorem?
During teleportation, the sender's original qubit state is measured and destroyed, transferring the state to the receiver rather than duplicating it.