#### where \(W_N:=\exp (-2\pi i/N)\).Due to the superposition of the state and **quantum** parallelism, the QFT can be implemented in a **quantum** **circuit** consisting of \(O(n^2)\) **quantum** gates, which is much more efficient than the fast Fourier transform (FFT) [] whose complexity of the computation is \(O(n 2^n)\).The Fourier transform that we consider in this paper is somewhat different from the QFT: We. Using these principles of **quantum** information, we can begin to construct **quantum** **circuits** in the same way that we would with a classical **circuit**. **Quantum** Gates. ... we'll use a similar **notation** for it: A diagram showing the symbol for measurement. Recall that measurements are stored in classical bits, so our diagram will also include those:. Nevertheless, **quantum** **circuit** simulation requires simulation resources. Our work on **quantum** multiple linear regression, which is a first of its kind, shows a practical **circuit** design method that we believe will pave the path for more viable and economic experimental implementations of **quantum** machine learning protocols, addressing problems in.

**quantum**

**circuit**model offers a more usable alternative.

**Quantum**

**circuits**were ﬁrst ... This discussion also serves as an opportunity to introduce some

**notation**that will be useful when discussing

**quantum**

**circuit**simulations of

**quantum**Turing machines. ... Browse other questions tagged

**quantum-circuit**

**notation**or ask your own question. The. Quirk - Drag-and-Drop

**Quantum Circuit**Simulator: Posts 10 Apr 2022 ... Bra-Ket

**Notation**Trivializes Matrix Multiplication: 20 Nov 2016. The term

**quantum**gate is analogous to classical logic gates. Gates acting on one or more qubit registers are denoted as a box. For example, the symbol is a Hadamard operation acting on a single-qubit register. In a

**quantum**

**circuit**, time flows from left to right.