Quantum state
A quantum state is a mathematical representation of a quantum system that determines the probabilities of possible measurement outcomes.
Building Quantum Software with Python
A quantum state is the mathematical description of a quantum system that specifies the amplitudes and therefore the probabilities of its possible measurement outcomes.
- How it is used
- Represents the evolving data of a quantum computation before repeated measurement yields binary outcomes.
- How deep it goes
- Develops amplitudes, complex-list encodings, validity checks, tables, gates, and visualizations, while deferring a proof of quantum postulates.
- Examples
- Uses single-qubit complex lists, three-qubit probability wheels and tables, uniform distributions, and pixel-array state images.
- What you can do after
- Build it from scratch as validated Python lists of complex amplitudes and visualize probabilities in state tables.
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Quantum Programming in Depth
A quantum state is a mathematical representation of the physical condition of a quantum system, including the probabilities of measurement outcomes.
- How it is used
- Uses quantum states as the object to prepare, manipulate, measure, and analyze in quantum-programming projects.
- How deep it goes
- Develops amplitude notation, normalization, encoding conventions, measurement probabilities, tomography, and joint measurements without deriving full physical foundations.
- Examples
- Demonstrates two-qubit and arbitrary n-qubit amplitude arrays, endian conversion, repeated measurements, tomography, and correlation-preserving joint measurements.
- What you can do after
- Builds quantum-state preparation routines and evaluates their measurement distributions in Qiskit or Q#.
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Related concepts
- Bell stateincludes · A Bell state is one of four maximally entangled two-qubit quantum states whose measurements exhibit correlated outcomes.
- quantum amplitudehas part · A quantum amplitude is a complex coefficient of a quantum state whose squared magnitude determines a measurement probability and whose phase carries directional information.
- quantum measurementused by · Quantum measurement is the process of obtaining a classical outcome from a quantum system according to probabilities determined by its state, generally changing that state.
- computational basishas part · The computational basis is the standard basis of quantum states labeled by definite binary-string measurement outcomes.
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