Rotational gate
A rotational gate is a single-qubit quantum gate that rotates a qubit’s state by a specified angle about the Y axis of the Bloch sphere.
Quantum Programming in Depth
An Ry gate is a single-qubit rotation gate that rotates a qubit state around the Y axis of the Bloch sphere.
- How it is used
- Prepares a single-qubit state from specified coefficients by converting amplitudes into a Y-axis rotation.
- How deep it goes
- Derives the rotation angle and demonstrates Q# execution, but does not develop the gate's matrix representation.
- Examples
- Uses amplitudes 0.6 and 0.8, computes 2·ArcTan2(0.8, 0.6), applies RY, and resets the qubit.
- What you can do after
- Build it from scratch in Q# to prepare and safely release a single-qubit state.
Read how Quantum Programming in Depth explains rotational gate →
Building Quantum Software with Python
A Y rotation gate is a single-qubit quantum gate that rotates a qubit's state by an angle about the Y axis of the Bloch sphere.
- How it is used
- Uses single-qubit rotations to control real amplitudes and encode binary probabilities or scaled numeric values.
- How deep it goes
- Defines the gate through a matrix, explains angle effects, demonstrates composition, and stops short of deriving the matrix entries.
- Examples
- Demonstrates π/3 rotation, p = 0.7 Bernoulli encoding, and x = 273.5 encoding in amplitude magnitude.
- What you can do after
- Build it from scratch by calculating an angle, applying RY to an initialized qubit, and reading the resulting state probabilities.
Read how Building Quantum Software with Python explains rotational gate →
Related concepts
- measurement basisused by · A measurement basis is a pair of orthogonal quantum states that defines the possible outcomes of a quantum measurement.
- binomial distributionused by · A binomial distribution is the probability distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.
- quantum gatekind of · A quantum gate is an operation that transforms the state of one or more qubits, typically represented by a unitary transformation.
- rz gateincludes · An RZ gate is a single-qubit quantum gate that applies a rotation about the Z axis of the Bloch sphere.
- state preparationused by · State preparation is the process of transforming an initial quantum state into a specified target quantum state.
- rotationconfigures · A rotation is a geometric transformation that turns points or objects about a fixed center, origin, or axis through an angle while preserving distances and angles.
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