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Glossary.

Short, careful definitions. Where the site uses one of these terms, its definition appears on hover or focus — the full entry is here.

Superposition
A state holding several alternatives at once, each with an amplitude, relative to a chosen set of alternatives. Not “one of them, unknown” — the amplitudes can interfere, which mere ignorance could never do.
Amplitude
The complex number the theory assigns to each possibility. Its squared magnitude gives the probability of the corresponding outcome (the Born rule).
Wave function
The mathematical object (ψ) encoding a system's amplitudes. Whether it is a real physical thing, a tool for prediction, or an agent's expectations is exactly what the interpretations dispute.
Born rule
The rule connecting amplitudes to measurement outcomes: the probability of an outcome equals the squared magnitude of its amplitude, |ψ|².
Measurement problem
The equation evolves states smoothly and never picks an outcome; experiments end with exactly one. Saying precisely what happens in between — and what counts as a measurement — is the central unsolved puzzle of quantum foundations.
Collapse
The apparent jump from many weighted possibilities to one actual result at measurement. Interpretations disagree on whether it is a physical process, a bookkeeping update, or nothing at all.
Decoherence
What happens when a quantum system couples to an environment: its many degrees of freedom carry the interference away where it cannot be recovered. This explains why superpositions become undetectable in practice — but not, by itself, why one outcome occurs.
Entanglement
A state of two or more systems that cannot be described system-by-system. Measuring one is instantly informative about the other, however far away — though no usable signal travels.
Nonlocality
Correlation between distant events that no local mechanism can reproduce, as Bell's theorem makes precise — given that settings are chosen freely and each run has a single outcome. Interpretations differ over which of those assumptions to give up, and over whether anything acts at a distance.
Hidden variables
Additional facts, beyond the wave function, that settle what a measurement will find — either outright or as probabilities. Pilot-wave theory adds them (particle positions); Bell showed that no such theory, deterministic or not, can be local and still match quantum mechanics.
Unitary evolution
The smooth, reversible, deterministic change of the wave function described by the Schrödinger equation — what the orthodox account says happens between measurements. Several interpretations say it is all that ever happens.
Which-path information
Any physical record of which route a particle took. The sharper the record, the fainter the interference — Englert's relation makes the trade exact — and erasing the record can bring the fringes back. No person needs to look.
Interference
Amplitudes adding and cancelling like overlapping ripples, producing patterns (bright and dark bands) that probabilities alone could never make.
Framework (consistent histories)
A family of alternative histories whose amplitudes do not interfere, so ordinary probability rules apply within it. Different frameworks can be individually valid yet impossible to combine.