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A phase-gate process (also referred to as a waterfall process) is a project management technique in which an initiative or project (e.g., new product development, software development, process improvement, business change) is divided into distinct stages or phases, separated by decision points (known as gates).
The global phase gate introduces a global phase to the whole qubit quantum state. A quantum state is uniquely defined up to a phase. A quantum state is uniquely defined up to a phase. Because of the Born rule , a phase factor has no effect on a measurement outcome: | e i φ | = 1 {\displaystyle |e^{i\varphi }|=1} for any φ {\displaystyle ...
Common quantum logic gates by name (including abbreviation), circuit form(s) and the corresponding unitary matrices. In quantum computing and specifically the quantum circuit model of computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit operating on a small number of qubits.
The phase detector needs to compute the phase difference of its two input signals. Let α be the phase of the first input and β be the phase of the second. The actual input signals to the phase detector, however, are not α and β, but rather sinusoids such as sin(α) and cos(β). In general, computing the phase difference would involve ...
The phase-space formulation is a formulation of quantum mechanics that places the position and momentum variables on equal footing in phase space.The two key features of the phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix) and operator multiplication is replaced by a star product.
In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform.The quantum Fourier transform is a part of many quantum algorithms, notably Shor's algorithm for factoring and computing the discrete logarithm, the quantum phase estimation algorithm for estimating the eigenvalues of a unitary ...
Care must be taken to end the gate at a time when all motional modes have returned to the origin in phase space, and so the gate time is defined by = = for each mode . For μ k t = 2 π {\displaystyle \mu _{k}t=2\pi } , the second term of M 2 ( t ) {\displaystyle M_{2}(t)} also vanishes, and so the time evolution operator becomes
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