Quantum Mutual Information and Conditional Entropy
Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution
... Another application of our result is the well-known problem of classification of the short-range entangled states studied by Kitaev [19] . Defining such a class of states is nontrivial, and one of the natural properties ...
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Entropy and Mutual Information
... Systems Information theory has played an important role in the study of learning ...as information theory deals with quantifying information regardless of its physical medium of transmission, ...
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Clustering of Conditional Mutual Information for Quantum Gibbs States above a Threshold Temperature
... where Z ~ a := tr(e −βH ~ a ). In the standard cluster expansion, we consider the Taylor expansion of e −βH ~ a with respect to the parameters ~a. It works well in analyzing a correlation function or tensor network ...
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Conditional decoupling of quantum information
... a conditional decoupling theorem and hence provides a conceptually new extension of the decoupling approach to quantum information ...retrieve quantum information from a purifying ...
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Mutual information and conditional mean prediction error
... Mutual information is fundamentally important for measuring statistical dependence between variables [ 1 ], [ 2 ], [ 3 ], [ 4 ], and for quantifying information transfer by engineered or naturally ...
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Entropy in Quantum Information Theory -- Communication and Cryptography
... Chapter 2 , we prove a new inequality of the latter kind by removing one of the con- straints from an inequality by Linden and Winter. This is a step towards proving an unconstrained inequality conjectured by these ...
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Mutual Information and Nonadditive Entropies: The Case of Tsallis Entropy
... the mutual information, which is its measure. The mutual information can be easily decomposed into a sum (with signs) of entropies [1], when the Shannon entropy is ...This ...
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Mutual Information and Nonadditive Entropies: A Method for Kaniadakis Entropy
... discussing mutual information of two random variables and how it can be calculated from ...Shannon entropy, whereas, for the nonadditive Tsallis entropy, it requires some ...Tsallis ...
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Fast Binary Feature Selection with Conditional Mutual Information
... their mutual information with the class to predict, conditionally to the response of any feature already picked (Vidal-Naquet and Ullman, 2003; Fleuret, ...This Conditional Mutual ...
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Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production
... Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production.. Qian Zeng 1,† and Jin Wang 1,2,†, *.[r] ...
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Nonequilibrium Information Landscape and Flux, Mutual Information Rate Decomposition and Entropy Production
... nonequilibrium Entropy Production Rate (EPR) of the BMC by the simple equality: 100 EPR of BMC = EPR of 1st marginal chain + EPR of 2nd marginal chain + 2 × time-irreversible part of ...
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Entropy and quantum gravity
... to entropy based on coarse- graining, offers a definition for the entropy of a closed system as a real and objective ...of information loss during black hole formation and evaporation in ...hole ...
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LOGICAL ENTROPY: INTRODUCTION TO CLASSICAL AND QUANTUM LOGICAL INFORMATION THEORY
... define quantum logical entropies as in the previous ...the quantum analogue of h ( p ) = 1 − ∑ i p 2 i which in effect uses the discrete partition on the index set { 1, ...
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Reduction of Systematic Error in Radiopharmaceutical Activity by Entropy Based Mutual Information
... of mutual information (MI); we show how to process element by element of the covariance matrix to minimize the correlated systematic errors in the count rate of 113m ...
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Bipartite separability of symmetric N-qubit noisy states using conditional quantum relative Tsallis entropy
... von-Neumann conditional entropy in detecting entangled states in the limit q → ∞ [ 3 ...von-Neumann conditional entropy [ 3 , 5 , 8 ], in some cases [ 8 ] the separability range obtained ...
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Entropy Security in Quantum Cryptography
... also. Quantum Cryptography uses the fundamental laws of quantum ...that quantum cryptography may appropriately be realized by means of quantum optics and the optical fiber serves as a ...
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The Entropy-Based Quantum Metric
... of quantum information lost by mixing ˆ D and ˆ D + d ˆ ...equilibrium quantum statistical ...maximum entropy criterion, which result from the exact states through an orthogonal ...Neumann’s ...
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An Entropy Measurement Method of Quantum Information System under Uncertain Environment
... 3. Entropy of Quantum Information System It is a challenge to evaluate the uncertainty in quantum information ...though entropy can be used to evaluate the uncertainty of ...
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Conditional Events and Quantum Logic
... However, this is a measurement technique ambiguity, purely epistemological. It does not mean that the position and velocity cannot be simultaneously known in principle, just not with the information and ...
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Quantum conditional query complexity
... One of the fundamental challenges in statistics is to infer information about properties of large datasets as efficiently as possible. This is becoming increasingly important as we collect progressively more data ...
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