Quantum amplitude
A quantum amplitude is a complex coefficient of a quantum state whose squared magnitude determines a measurement probability and whose phase carries directional information.
Building Quantum Software with Python
A quantum amplitude is a complex-valued coefficient of a quantum state whose squared magnitude determines an outcome probability and whose phase carries directional information.
- How it is used
- Models quantum-state values whose updates control the probabilities sampled at measurement.
- How deep it goes
- Explains complex representation, magnitude, direction, normalization, list encoding, and gate updates, while deferring detailed amplitude analysis.
- Examples
- Uses single-qubit complex lists, a negative real amplitude, state tables, and Hadamard-created uniform three-qubit amplitudes.
- What you can do after
- Build it from scratch as normalized Python lists of complex values and derive outcome probabilities from squared magnitudes.
Read how Building Quantum Software with Python explains quantum amplitude →
Quantum Programming in Depth
A quantum amplitude is a complex coefficient of a basis state whose squared magnitude determines its measurement probability.
- How it is used
- Connects quantum-state preparation and measurement analysis to simulator inspection and coefficient reconstruction.
- How deep it goes
- Explains basis-state coefficients, squared measurement probabilities, phases, and reconstruction, while deferring projection-operator formalism.
- Examples
- Uses a 0.6/0.8 single-qubit state, multiqubit amplitude arrays, Q# DumpMachine output, and Qiskit measurement-based reconstruction.
- What you can do after
- Diagnose quantum-state preparation with Q# simulator output and estimate state coefficients through repeated Qiskit measurements.
Read how Quantum Programming in Depth explains quantum amplitude →
Related concepts
- quantum statepart of · A quantum state is a mathematical representation of a quantum system that determines the probabilities of possible measurement outcomes.
- probability theoryproduces · Probability theory is the branch of mathematics that formalizes uncertainty and analyzes random events and outcomes using probability measures.
- quantum operationused by · A quantum operation is a physical or computational transformation acting on a quantum state, including unitary evolution and measurement.
- quantum oracleused by · A quantum oracle is a problem-specific quantum subroutine that recognizes or marks computational-basis states satisfying a specified condition.
- quantum gateused by · A quantum gate is an operation that transforms the state of one or more qubits, typically represented by a unitary transformation.
- complex floating-point typeuses · A complex floating-point type represents complex numbers with real and imaginary components, using floating-point values for those components.
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