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  • Question: write a context free grammar for the language:Quantum circuit expressions are defined inductively as follows.• Each of I, H, X, Z, CNOT and TOF is a quantum circuit expression.• If Q is a quantum circuit expression, then so is (Q).• If P and Q are quantum circuit expressions, then so is P ∗ Q. (This represents ordinary matrix multiplication.)• If P and Q are

    write a context free grammar for the language:

    Quantum circuit expressions are defined inductively as follows.

    • Each of I, H, X, Z, CNOT and TOF is a quantum circuit expression.

    • If Q is a quantum circuit expression, then so is (Q).

    • If P and Q are quantum circuit expressions, then so is P ∗ Q. (This represents ordinary matrix multiplication.)

    • If P and Q are quantum circuit expressions, then so is P ⊗ Q. (This represents Kronecker product.)

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