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

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

Gibbs entropy from classical statistical mechanics to quantum statistical mechanics, and it is the quantum counterpart of the Shannon entropy from classical...

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

\|\cdot )} denotes quantum relative entropy. Note that there is an alternative generalization of mutual information to the quantum case. The difference...

Generalized relative entropy ( ε {\displaystyle \varepsilon } -relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot"...

mathematical statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted D KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel...

Shannon entropy and its quantum generalization, the von Neumann entropy, one can define a conditional version of min-entropy. The conditional quantum min-entropy...

distributions Quantum relative entropy – a measure of distinguishability between two quantum states. Rényi entropy – a generalization of Shannon entropy; it is...

Bibcode:2005quant.ph..4163P. Vedral, Vlatko (2002). "The role of relative entropy in quantum information theory". Reviews of Modern Physics. 74 (1): 197–234...

_{V}^{0})\geq 0.} This is simply the statement of positivity of quantum relative entropy, which proves the Bekenstein bound. However, the modular Hamiltonian...

The entropy of entanglement (or entanglement entropy) is a measure of the degree of quantum entanglement between two subsystems constituting a two-part...

conditional quantum entropy is an entropy measure used in quantum information theory. It is a generalization of the conditional entropy of classical...

M.; Hartle, J. B. (1990). "Quantum mechanics in the light of quantum cosmology". In Zurek, W. H. (ed.). Complexity, Entropy, and the Physics of Information...

important contributions to quantum information theory, including his proof of the data-processing inequality for quantum relative entropy, communicated in a series...

quantum information geometry. He proposed the first quantum generalization of Rényi relative entropy and established its data processing inequality. He...

Principle of maximum entropy Principle of Minimum Discrimination Information Kullback–Leibler divergence Quantum relative entropy Information theory and...

principle from quantum mechanics. In quantum information theory, the conditional entropy is generalized to the conditional quantum entropy. The latter can...

cosmology Digital physics Entropic gravity Implicate and explicate order Quantum speed limit theorems Physical cosmology Quantum foam except in the case...

identified unexpected quantum behaviors in nanoscale artificial magnetic materials and highlighted the role of quantum relative entropy in the Kondo effect...

Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The...

Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse...

Entropy is one of the few quantities in the physical sciences that requires a particular direction for time, sometimes called an arrow of time. As one...

gas constant, in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann...

measurement in quantum physics is important for this field in many ways, some of which are briefly surveyed here. The von Neumann entropy is a measure of...

pure states, is the 'quantum deficit'. The one-way and zero-way versions were shown to be equal to the relative entropy of quantumness. Other measures of...

capacities of quantum communication channels. The second textbook utilizes the Renyi entropy and its variants, the hypothesis testing relative entropy, and the...

object with no entropy.: 425  After meeting Zeldovich in Moscow in 1973, Hawking put these two ideas together using his mixture of quantum field theory...

(Y)-\mathrm {H} (X,Y)\,} . In quantum information theory, the joint entropy is generalized into the joint quantum entropy. The above definition is for...

In quantum mechanics, frequent measurements cause the quantum Zeno effect, a reduction in transitions away from the system's initial state, slowing a system's...