Quantum Computing Asked on January 14, 2021
Sender (Alice) wants to exchange private encryption key with Bob using BB84 protocol. She generate a binary string (1010100010010111),and encode using Hadamard gate and identity gate (HHHIIHIHHIIIHIIH).
What is the quantum state she transmits to reciever (Bob)?
Application of Hadamard gates changes states $|0rangle$ and $|1rangle$ followingly:
Identity operator does not change the state in any way, i.e. $mathrm{I}|0rangle = |0rangle$ and $mathrm{I}|1rangle = |1rangle$.
Hence if gates $mathrm{HHHII}dots$ are applied on input string of qubits $|10101dotsrangle$, the result is state $|-+-01dotsrangle$.
Answered by Martin Vesely on January 14, 2021
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