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  2. Quantum state - Wikipedia

    en.wikipedia.org/wiki/Quantum_state

    e. In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction, evolution, and measurement of a quantum state. The result is a prediction for the system represented by the state. Knowledge of the quantum state, and the rules for the system's evolution ...

  3. Quantum biology - Wikipedia

    en.wikipedia.org/wiki/Quantum_biology

    Quantum biology. Quantum biology is the study of applications of quantum mechanics and theoretical chemistry to aspects of biology that cannot be accurately described by the classical laws of physics. [1] An understanding of fundamental quantum interactions is important because they determine the properties of the next level of organization in ...

  4. Purity (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Purity_(quantum_mechanics)

    Purity (quantum mechanics) In quantum mechanics, and especially quantum information theory, the purity of a normalized quantum state is a scalar defined as where is the density matrix of the state and is the trace operation. The purity defines a measure on quantum states, giving information on how much a state is mixed.

  5. Glossary of elementary quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_elementary...

    A state which can be represented as a wave function / ket in Hilbert space / solution of Schrödinger equation is called pure state. See "mixed state". Quantum numbers. a way of representing a state by several numbers, which corresponds to a complete set of commuting observables.

  6. Quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Quantum_mechanics

    Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [ 2 ]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems that classical physics ...

  7. Measurement in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Measurement_in_quantum...

    Scientists. v. t. e. In quantum physics, a measurement is the testing or manipulation of a physical system to yield a numerical result. A fundamental feature of quantum theory is that the predictions it makes are probabilistic. The procedure for finding a probability involves combining a quantum state, which mathematically describes a quantum ...

  8. Quantum superposition - Wikipedia

    en.wikipedia.org/wiki/Quantum_superposition

    Quantum superposition is a fundamental principle of quantum mechanics that states that linear combinations of solutions to the Schrödinger equation are also solutions of the Schrödinger equation. This follows from the fact that the Schrödinger equation is a linear differential equation in time and position. More precisely, the state of a ...

  9. Ensemble interpretation - Wikipedia

    en.wikipedia.org/wiki/Ensemble_interpretation

    CI: A pure state provides a complete description of an individual system, e.g. an electron. EI: A pure state describes the statistical properties of an ensemble of identically prepared systems. Ballentine defines a quantum state as an ensemble of similarly prepared systems. For example, the system may be a single electron, then the ensemble ...