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A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided to the mutual information of both continuous and discrete random variables.

Probability · Mathematics 2007-05-23 F. Hiai , D. Petz

We experimentally demonstrate optimal entanglement distillation from two forms of two-qubit mixed states under local filtering operations according to the constructive method intruduced by F. Verstraete et al. [Phys. Rev. A 64, 010101(R)…

Quantum Physics · Physics 2007-05-23 Zhi-Wei Wang , Xiang-Fa Zhou , Yun-Feng Huang , Yong-Sheng Zhang , Xi-Feng Ren , Guang-Can Guo

The pure entangled state is of vital importance in the field of quantum information. The process of asymptotically extracting pure entangled states from many copies of mixed states via local operations and classical communication is called…

Quantum Physics · Physics 2019-08-09 Lilong Qian , Lin Chen , Delin Chu , Yi Shen

Mutual Information (MI) is an useful tool for the recognition of mutual dependence berween data sets. Differen methods for the estimation of MI have been developed when both data sets are discrete or when both data sets are continuous. The…

Applications · Statistics 2017-08-30 Miguel A. Ré , Guillermo G. Aguirre Varela

We show that {\it any} entanglement measure $E$ suitable for the regime of high number of entangled pairs satisfies $E_D\leq E\leq E_F$ where $E_D$ and $E_F$ are entanglement of distillation and formation respectively. We also exhibit a…

Quantum Physics · Physics 2009-10-31 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Information that is stored in quantum-mechanical systems can be easily lost because of the interaction with the environment in a process known as decoherence. Possible physical implementations of many processes in quantum information theory…

Quantum Physics · Physics 2015-06-23 A. Valdés-Hernández , A. P. Majtey , A. R. Plastino

How mixed can one component of a bi-partite system be initially and still become entangled through interaction with a thermalized partner? We address this question here. In particular, we consider the question of how mixed a two-level…

Quantum Physics · Physics 2016-11-02 S. Scheel , J. Eisert , P. L. Knight , M. B. Plenio

The conditional mutual information I(X;Y|Z) measures the average information that X and Y contain about each other given Z. This is an important primitive in many learning problems including conditional independence testing, graphical model…

Information Theory · Computer Science 2017-10-16 Arman Rahimzamani , Sreeram Kannan

Entanglement and information are powerful lenses to probe phases transitions in many-body systems. Motivated by recent cold atom experiments, which are now able to measure the corresponding information-theoretic quantities, we study the…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

A sufficient condition for entanglement in two-mode continuous systems is constructed based on interference visibility and the uncertainty of the total particle number. The observables to be measured (particle numbers and particle number…

Quantum Physics · Physics 2007-05-23 Geza Toth , Christoph Simon , Juan Ignacio Cirac

Genuineness and distillability of entanglement play a key role in quantum information tasks, and they are easily disturbed by the noise. We construct a family of multipartite states without genuine entanglement and distillability sudden…

Quantum Physics · Physics 2021-02-05 Mengyao Hu , Lin Chen

Quantum entanglement is the quantum information processing resource. Thus it is of importance to understand how much of entanglement particular quantum states have, and what kinds of laws entanglement and also transformation between…

Quantum Physics · Physics 2007-05-23 Toshiyuki Shimono

The concept of entanglement was originally introduced to explain correlations existing between two spatially separated systems, that cannot be described using classical ideas. Interestingly, in recent years, it has been shown that similar…

Quantum Physics · Physics 2015-07-23 R. de J. León-Montiel , A. Vallés , H. M. Moya-Cessa , J. P. Torres

A mixed quantum state shared between two parties is said to be distillable if, by means of a protocol involving only local quantum operations and classical communication, the two parties can transform some number of copies of that state…

Quantum Physics · Physics 2009-11-10 John Watrous

The potential impact of future quantum networks hinges on high-quality quantum entanglement shared between network nodes. Unavoidable real-world imperfections necessitate means to improve remote entanglement by local quantum operations.…

We describe how to achieve optimal entanglement generation and one-way entanglement distillation rates by coherent implementation of a class of secret key generation and secret key distillation protocols, respectively. This short paper is a…

Quantum Physics · Physics 2007-05-23 Igor Devetak , Andreas Winter

Using percolation theory, we derive a conceptual definition of deconfinement in terms of cluster formation. The result is readily applicable to infinite volume equilibrium matter as well as to finite size pre-equilibrium systems in nuclear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Helmut Satz

We propose a nested quantum dot structure for improved control of entanglement induced by the Heisenberg exchange between an electron and a qubit with relative motion. The entanglement is quantified by the mutual information (MI). The…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 Lee-Che Lin , Seng Ghee Tan , Ching-Ray Chang , Shih-Jye Sun , Son-Hsien Chen

A recent development in quantum chemistry has established the quantum mutual information between orbitals as a major descriptor of electronic structure. This has already facilitated remarkable improvements of numerical methods and may lead…

The study of entanglement in systems composed of identical particles raises interesting challenges with far-reaching implications in both, our fundamental understanding of the physics of composite quantum systems, and our capability of…

Quantum Physics · Physics 2023-03-31 A. P. Majtey , A. Valdés-Hernández , E. Cuestas
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