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Quantum state information


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 quantum-mechanical prediction for the system represented by the state. Knowledge of the quantum state, and the quantum mechanical rules for the system's evolution in time, exhausts all that can be known about a quantum system.

Quantum states may be defined differently for different kinds of systems or problems. Two broad categories are

  • wave functions describing quantum systems using position or momentum variables and
  • the more abstract vector quantum states.

Historical, educational, and application-focused problems typically feature wave functions; modern professional physics uses the abstract vector states. In both categories, quantum states divide into pure versus mixed states, or into coherent states and incoherent states. Categories with special properties include stationary states for time independence and quantum vacuum states in quantum field theory.

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Quantum state

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In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction...

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Quantum vacuum state

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In quantum field theory, the quantum vacuum state (also called the quantum vacuum or vacuum state) is the quantum state with the lowest possible energy...

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Quantum computing

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A quantum computer is a computer that takes advantage of quantum mechanical phenomena. On small scales, physical matter exhibits properties of both particles...

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Quantum entanglement

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proximity in such a way that the quantum state of each particle of the group cannot be described independently of the state of the others, including when...

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Quantum mechanics

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of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics...

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Quantum teleportation

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location to the next, quantum teleportation only transfers quantum information. The sender does not have to know the particular quantum state being transferred...

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Quantum information

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Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated...

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Quantum logic gate

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In quantum computing and specifically the quantum circuit model of computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit...

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Quantum

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entanglement Quantum fiction Quantum field theory Quantum lithography Quantum mechanics Quantum mind Quantum mysticism Quantum number Quantum optics Quantum sensor...

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Bell state

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In quantum information science, the Bell's states or EPR pairs: 25  are specific quantum states of two qubits that represent the simplest examples of...

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Measurement in quantum mechanics

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for finding a probability involves combining a quantum state, which mathematically describes a quantum system, with a mathematical representation of the...

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Quantum cryptography

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non-quantum) communication. For example, it is impossible to copy data encoded in a quantum state. If one attempts to read the encoded data, the quantum state...

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Quantum Fourier transform

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In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier...

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Quantum superposition

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Quantum superposition is a fundamental principle of quantum mechanics that states that linear combinations of solutions to the Schrödinger equation are...

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Qubit

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physically realized with a two-state device. A qubit is a two-state (or two-level) quantum-mechanical system, one of the simplest quantum systems displaying the...

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Quantum machine learning

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Quantum machine learning is the integration of quantum algorithms within machine learning programs. The most common use of the term refers to machine learning...

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Quantum algorithm

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In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the...

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Interpretations of quantum mechanics

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quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Although quantum...

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Mathematical formulation of quantum mechanics

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formulations of quantum mechanics continue to be used today. At the heart of the description are ideas of quantum state and quantum observables, which...

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Quantum state space

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In physics, a quantum state space is an abstract space in which different "positions" represent, not literal locations, but rather quantum states of some...

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Quantum machine

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A quantum machine is a human-made device whose collective motion follows the laws of quantum mechanics. The idea that macroscopic objects may follow the...

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Quantum yield

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0.10 are still considered quite fluorescent. Quantum yield is defined by the fraction of excited state fluorophores that decay through fluorescence:...

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Wave function collapse

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In quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several...

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Introduction to quantum mechanics

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Quantum mechanics is the study of matter and its interactions with energy on the scale of atomic and subatomic particles. By contrast, classical physics...

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Quantum error correction

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Quantum error correction (QEC) is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum...

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Principal quantum number

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electron's state. Its values are natural numbers (from one) making it a discrete variable. Apart from the principal quantum number, the other quantum numbers...

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Pauli exclusion principle

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fermions) cannot simultaneously occupy the same quantum state within a system that obeys the laws of quantum mechanics. This principle was formulated by Austrian...

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Quantum mind

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The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections...

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Quantum Bayesianism

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but not all, aspects of the quantum formalism are subjective in nature. For example, in this interpretation, a quantum state is not an element of reality—instead...

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