QCoder

Problem Statement

You are given an integer $n$ and real numbers $T_0,\ T_1,\ \ldots,\ T_{n-1}$ . Implement the operation defined by the following matrix $A$ on a quantum circuit $\mathrm{qc}$ with $n$ qubits:

A = 2 \ket{\psi}\bra{\psi} - I

where $I$ denotes the $2^n \times 2^n$ identity matrix and $\ket{\psi}$ is defined by

\ket{\psi} = (\cos T_0 \ket{0} + \sin T_0\ket{1}) (\cos T_1\ket{0} + \sin T_1\ket{1}) \ldots (\cos T_{n-1} \ket{0} + \sin T_{n-1} \ket{1}).

Constraints

$2 \leq n \leq 10$
$- \pi \lt T_i \leq \pi$
Global phase is ignored in judge.
The submitted code must follow the specified format:

from qiskit import QuantumCircuit
 
 
def solve(n: int, T: list[float]) -> QuantumCircuit:
    qc = QuantumCircuit(n)
    # Write your code here:
 
    return qc

Hints

Open

You can apply the inverse gate or the inverse circuit as follows:

qc.compose(sub_qc().inverse(), inplace=True)
# def sub_qc() -> QuantumCircuit

B7: Reflection Operator III

Problem Statement

Constraints

Hints