Coherent information

About: Coherent information is a research topic. Over the lifetime, 1225 publications have been published within this topic receiving 46672 citations.

Impossibility of Probabilistic splitting of quantum information

Abstract: We know that we cannot split the information encoded in two non-orthogonal qubits into complementary parts deterministically. Here we show that each of the copies of the state randomly selected from a set of non orthogonal linearly independent states, splitting of quantum information can not be done even probabilistically. Here in this work we also show that under certain restricted conditions, we can probabilistically split the quantum information encoded in a qubit.

Quantum Information Theory

Abstract: The concepts of classical information theory can be extended to quantum information theory. Since in general measurement yields a result with probability, we may suggest using these probabilities in classical information theory. However the probabilities do not contain phase information, which cannot be neglected. Thus the definitions are given in terms of the density operator. These probabilities depend on the basis used for measurement. A density operator ρ over a n-dimensional Hilbert space H is a positive operator with unit trace. The trace tr(A) is defined as $$tr(A): = \sum\limits_{j = 1}^n {\left\langle {{\beta _j}|A|{\beta _j}} \right\rangle } $$ where β j for j = 1,..., n is any orthonormal basis in HThus tr(P)=1. The eigenvalues of a density operator are greater than zero. By the spectral theorem every density operator can be represented as a mixture of pure states $$\rho = \sum\limits_{j = 1}^n {Pj|} \left\langle {aj} \right.\langle aj|$$ where α j for j = 1,..., n are the orthonormal eigenvectors of ρ (which form a basis in H and $$pj \in R,{p_j}0,\sum\limits_{j = 1}^n {{p_j}} = 1$$

Does Quantum Interference exist in Twitter

Abstract: It becomes more difficult to explain the social information transfer phenomena using the classic models based merely on Shannon Information Theory (SIT) and Classic Probability Theory (CPT), because the transfer process in the social world is rich of semantic and highly contextualized This paper aims to use twitter data to explore whether the traditional models can interpret information transfer in social networks, and whether quantum-like phenomena can be spotted in social networks Our main contributions are: (1) SIT and CPT fail to interpret the information transfer occurring in Twitter; and (2) Quantum interference exists in Twitter, and (3) a mathematical model is proposed to elucidate the spotted quantum phenomena

Detecting Quantum Phase Transitions via Mutual Information Complex Networks

Abstract: Classical statistical physics has developed a powerful set of tools for analyzing complex systems, chief among them complex networks, in which connectivity and topology predominate over other system features. Complex networks model systems as diverse as the brain and the internet; however, they have had little application to quantum systems, till now. Framing connectivity in terms of quantum non-locality, we bring complex network theory into the quantum realm via an adjacency matrix constructed from mutual information, or long-range entanglement. Using matrix-product-state computational methods, we apply this new set of quantum tools to an emergent feature, quantum phase transitions. We demonstrate rapid finite size-scaling for both transverse Ising and Bose-Hubbard models, including $Z_2$, mean field, and BKT transitions. This work opens the door for a new set of tools for complex quantum systems, as well as providing an operator-independent alternative approach to the study of critical phenomena.