Return to State, Quantum, Quantum mechanics
Quantum state is the state of a quantum mechanical system given by a vector in the underlying Hilbert space.
In quantum physics, a quantum state is a mathematical entity that represents a quantum system. Quantum mechanics specifies the construction, evolution, and measurement of a quantum state. Knowledge of the quantum state, and the rules for the system's evolution in time, exhausts all that can be known about a quantum system.
Quantum states can be divided into pure or mixed quantum states. Pure quantum states are represented as a vector in a Hilbert space. Mixed states are statistical mixtures of pure states and cannot be represented as vectors on that Hilbert space, and instead are represented as density matrices.
Common examples of quantum states are the wave functions describing the position and momentum degrees of freedom, finite-dimensional vectors describing the spin degree of freedom such as the singlet, and states describing many-body quantum systems in a Fock space.
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