• The entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part...
    8 KB (1,429 words) - 10:20, 21 March 2024
  • Thumbnail for Quantum entanglement
    standard. Entanglement cost Distillable entanglement Entanglement of formation Concurrence Relative entropy of entanglement Squashed entanglement Logarithmic...
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  • the framework of quantum information theory to characterize the entropy of entanglement. John von Neumann established a rigorous mathematical framework...
    21 KB (3,022 words) - 10:45, 24 May 2024
  • content of a message source Differential entropy, a generalization of Entropy (information theory) to continuous random variables Entropy of entanglement, related...
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  • quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog of relative entropy. For simplicity...
    13 KB (2,405 words) - 00:45, 29 December 2022
  • entanglement entropy reflects the presence of long range quantum entanglements in a many-body quantum state. So the topological entanglement entropy links...
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  • Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The...
    21 KB (3,449 words) - 05:51, 15 May 2024
  • Thumbnail for Entropy (information theory)
    In information theory, the entropy of a random variable is the average level of "information", "surprise", or "uncertainty" inherent to the variable's...
    69 KB (9,893 words) - 03:46, 7 June 2024
  • Entanglement can then be quantified as the entropy of entanglement, which is the von Neumann entropy of either p A {\displaystyle p_{A}} or p B {\displaystyle...
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  • systems. Common entanglement monotones are the entropy of entanglement, concurrence, negativity, squashed entanglement, entanglement of formation and tangle...
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  • is PPT entangled). does not reduce to the entropy of entanglement on pure states like most other entanglement measures. is additive on tensor products:...
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  • Thumbnail for Quantum complex network
    the entropy of entanglement. In the context of quantum communication, entangled qubits are used as a quantum channel. Bell measurement is a kind of joint...
    16 KB (2,113 words) - 23:09, 14 November 2022
  • case. Many of the axiomatic entanglement measures for bipartite states, such as relative entropy of entanglement, robustness of entanglement and squashed...
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  • entropy of entanglement. Vanishing quantum discord is a criterion for the pointer states, which constitute preferred effectively classical states of a...
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  • the joint quantum entropy. If the quantum state ρ A B {\displaystyle \rho ^{AB}} exhibits quantum entanglement, then the entropy of each subsystem may...
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  • _{A})=S(\rho _{B})} , and called it the entanglement entropy. This is also known as the entanglement of formation of pure state. For a mixed bipartite state...
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  • Aron Wall (category American members of the Church of the Nazarene)
    AC. Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy. Classical and Quantum Gravity. 2014 Nov 4;31(22):225007...
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  • a quantitative relationship between the entanglement entropy of a conformal field theory and the geometry of an associated anti-de Sitter spacetime. The...
    10 KB (1,477 words) - 14:13, 26 June 2023
  • p_{\text{max}}\leq 1/2} . 2. Many entanglement measures have a simple formulas for entangled Bell-diagonal states: Relative entropy of entanglement: S r = 1 − h ( p max...
    4 KB (628 words) - 06:06, 6 October 2023
  • Karol Życzkowski (category Members of Academia Europaea)
    has contributed to quantum chaos, quantum measurement, entropy, and entanglement, the theory of voting and jointly with Wojciech Słomczyński designed the...
    3 KB (265 words) - 04:13, 22 October 2023
  • fine grained von Neumann entropy. Consider B: In the course of the entanglement with A its fine grained or entanglement entropy started and ended in pure...
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  • In the theory of quantum communication, the entanglement-assisted classical capacity of a quantum channel is the highest rate at which classical information...
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  • Induced gravity (category Theories of gravity)
    an entropic gravity proposal. The Einstein equation for gravity can emerge from the entanglement first law. In the "quantum graphity" proposal of Konopka...
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  • Thumbnail for Black hole thermodynamics
    arbitrary regions via the Ryu–Takayanagi formula, which relates the entanglement entropy of a boundary conformal field theory to a specific surface in its...
    24 KB (3,113 words) - 07:22, 25 May 2024
  • Thumbnail for Entropic gravity
    from the quantum entanglement of small bits of spacetime information. As such, entropic gravity is said to abide by the second law of thermodynamics under...
    24 KB (3,157 words) - 17:06, 10 March 2024
  • consequence of the above comments is that, for pure states, the von Neumann entropy of the reduced states is a well-defined measure of entanglement. For the...
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  • the entropy of entanglement. In general, given a NQS with fully-connected weights, it corresponds, in the worse case, to a matrix product state of exponentially...
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  • Entropy is one of the few quantities in the physical sciences that require a particular direction for time, sometimes called an arrow of time. As one goes...
    33 KB (5,020 words) - 01:33, 26 May 2024
  • Squashed entanglement, also called CMI entanglement (CMI can be pronounced "see me"), is an information theoretic measure of quantum entanglement for a bipartite...
    14 KB (2,131 words) - 10:18, 21 March 2024
  • Quantum entanglement Quantum decoherence Fluctuation theorem Black hole entropy Black hole information paradox Entropy (information theory) Entropy (statistical...
    29 KB (3,687 words) - 15:41, 26 April 2024