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Quantum mutual information information


In quantum information theory, quantum mutual information, or von Neumann mutual information, after John von Neumann, is a measure of correlation between subsystems of quantum state. It is the quantum mechanical analog of Shannon mutual information.

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Quantum mutual information

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In quantum information theory, quantum mutual information, or von Neumann mutual information, after John von Neumann, is a measure of correlation between...

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Mutual information

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In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two...

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Joint quantum entropy

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The joint quantum entropy generalizes the classical joint entropy to the context of quantum information theory. Intuitively, given two quantum states ρ...

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Quantum relative entropy

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In quantum information theory, quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog...

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Coherent information

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the quantum information in the state will remain after the state goes through the channel. In this sense, it is intuitively similar to the mutual information...

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List of things named after John von Neumann

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Monte Carlo method Quantum statistical mechanics Quantum mutual information Continuous geometry Game theory Minimax theorem Quantum logic Hilbert's fifth...

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Quantum discord

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(non-entangled) quantum states. In mathematical terms, quantum discord is defined in terms of the quantum mutual information. More specifically, quantum discord...

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Quantum teleportation

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Quantum teleportation is a technique for transferring quantum information from a sender at one location to a receiver some distance away. While teleportation...

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Strong subadditivity of quantum entropy

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In quantum information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems...

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Quantum entanglement

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Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum...

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Quantum memory

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In quantum computing, quantum memory is the quantum-mechanical version of ordinary computer memory. Whereas ordinary memory stores information as binary...

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Von Neumann entropy

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(information theory) Linear entropy Partition function (mathematics) Quantum conditional entropy Quantum relative entropy Quantum mutual information Quantum...

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Quantum neural network

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adiabatic models of quantum computing. Quantum neural networks can be applied to algorithmic design: given qubits with tunable mutual interactions, one...

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Qutrit

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(or quantum trit) is a unit of quantum information that is realized by a 3-level quantum system, that may be in a superposition of three mutually orthogonal...

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Quantum operation

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In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad...

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Quantum decoherence

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perform quantum computing on quantum information encoded in quantum states. Coherence is preserved under the laws of quantum physics. If a quantum system...

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Masanori Ohya

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results in the fields of quantum information and mathematical physics. In particular, he proposed his version of quantum mutual entropy. Note this quantity...

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Quantum superposition

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principle of superposition of quantum mechanics applies to the states [that are theoretically possible without mutual interference or contradiction]...

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Information

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measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory...

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Quantum game theory

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version, players are allowed access to quantum signals through the phenomenon of quantum entanglement. The information transfer that occurs during a game...

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Information theory

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measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. Important sub-fields of information theory...

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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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Amplitude damping channel

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must maximize the quantum mutual information. This is found by adding the input entropy of the message to the derived coherent information in the previous...

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Mutually unbiased bases

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In quantum information theory, a set of bases in Hilbert space Cd are said to be mutually unbiased to mean, that, if a system is prepared in an eigenstate...

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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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