scholarly journals Poisson Quantum Information

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 527
Author(s):  
Mankei Tsang
Keyword(s):  
Information Theory ◽  
Density Operator ◽  
Poisson Model ◽  
Positive Semidefinite ◽  
Positive Semidefinite Matrices ◽  
Classical Information ◽  
Density Operators ◽  
Quantum Objects ◽  
Classical Information Theory ◽  
Poisson Limit

By taking a Poisson limit for a sequence of rare quantum objects, I derive simple formulas for the Uhlmann fidelity, the quantum Chernoff quantity, the relative entropy, and the Helstrom information. I also present analogous formulas in classical information theory for a Poisson model. An operator called the intensity operator emerges as the central quantity in the formalism to describe Poisson states. It behaves like a density operator but is unnormalized. The formulas in terms of the intensity operators not only resemble the general formulas in terms of the density operators, but also coincide with some existing definitions of divergences between unnormalized positive-semidefinite matrices. Furthermore, I show that the effects of certain channels on Poisson states can be described by simple maps for the intensity operators.

scholarly journals Can bipartite classical information resources be activated?

2013 ◽  
Vol 13 (3&4) ◽  
pp. 245-265
Author(s):  
Giuseppe Prettico ◽  
Antonio Acin
Keyword(s):  
Information Theory ◽  
Key Agreement ◽  
Quantum Information Theory ◽  
Information Resources ◽  
Secret Key ◽  
Classical Information ◽  
Combined Use ◽  
Quantum Objects ◽  
Classical Information Theory ◽  
Secret Key Agreement

Non-additivity is one of the distinctive traits of Quantum Information Theory: the combined use of quantum objects may be more advantageous than the sum of their individual uses. Non-additivity effects have been proven, for example, for quantum channel capacities, entanglement distillation or state estimation. In this work, we consider whether non-additivity effects can be found in Classical Information Theory. We work in the secret-key agreement scenario in which two honest parties, having access to correlated classical data that are also correlated to an eavesdropper, aim at distilling a secret key. Exploiting the analogies between the entanglement and the secret-key agreement scenario, we provide some evidence that the secret-key rate may be a non-additive quantity. In particular, we show that correlations with conjectured bound information become secret-key distillable when combined. Our results constitute a new instance of the subtle relation between the entanglement and secret-key agreement scenario.

scholarly journals Interplay of information quantifiers and the modified Jaynes-Cummings model

Open Physics ◽  
2011 ◽  
Vol 9 (6) ◽  
Author(s):  
Sayed Abdel-Khalek ◽  
Angelo Plastino ◽  
Abdel-Shafy Obada
Keyword(s):  
Information Theory ◽  
Classical Information ◽  
Classical Quantum ◽  
Classical Information Theory

AbstractThe dynamics of the Buck and Sukumar model (B. Buck and C. V. Sukumar, Phys. Lett. A 81, 132 (1981)) is investigated using different semi-classical information-theory tools. Their interplay reveals somewhat unexpected features. A new signature for the classical-quantum barrier is encountered thereby.

Branching Measures of Information on Strings

1979 ◽  
Vol 22 (4) ◽  
pp. 433-448 ◽  
Author(s):  
Bruce R. Ebanks
Keyword(s):  
Information Theory ◽  
Probability Distribution ◽  
Classical Information ◽  
Amount Of Information ◽  
Information Measures ◽  
Classical Information Theory

In classical information theory, the amount of information provided by an experiment is measured by a function of the probability distribution of the outcomes of the experiment. In this paper, information measures are functions of sequences of elements of a monoid (S, ∘) with identity e. It is assumed that the measures {μn: Sn → ℝ} of information are branching.

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