Yes, there is a formula that describes the Quantum Fourier Transform.

Let's say we have n qubits represented by a quantum state |x>. The QFT of |x> is defined by the following formula:

QFT|x> = (1/√2^n) Σy=0 to 2^n-1 exp(2πixy/2^n) |y>

In this formula, Σy=0 to 2^n-1 represents the sum over all possible values of y, and exp(2πixy/2^n) represents a phase shift. The result of the formula is a new quantum state represented by |y>.

In simpler terms, the QFT formula calculates the probability amplitudes of all possible quantum states that could be obtained from |x> by measuring its Fourier coefficients.
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