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Classifying the information content of neural spike trains in a linguistic endeavor, an uncertainty relation emerges between the bit size of a word and its duration. This uncertainty is associated with the task of synchronizing the spike…

Neurons and Cognition · Quantitative Biology 2015-06-02 F. Tito Arecchi

Memory is the fundamental form of temporal complexity: when present but uncontrollable, it manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful resource for information processing. Memory effects arise…

Quantum Physics · Physics 2024-05-07 Philip Taranto , Marco Túlio Quintino , Mio Murao , Simon Milz

The duration, strength and structure of memory effects are crucial properties of physical evolution. Due to the invasive nature of quantum measurement, such properties must be defined with respect to the probing instruments employed. Here,…

Quantum Physics · Physics 2021-06-18 Yu Guo , Philip Taranto , Bi-Heng Liu , Xiao-Min Hu , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo

The visual system can be viewed and studied as an information processing system. If so, then the visual system should follow specific fundamental properties: either a memory or a memoryless system. Previous studies in serial dependence in…

Neurons and Cognition · Quantitative Biology 2023-01-02 Jun-Ming Yu , Haojiang Ying

We investigate temporal correlations in the simplest measurement scenario, i.e., that of a physical system on which the same measurement is performed at different times, producing a sequence of dichotomic outcomes. The resource for…

Quantum Physics · Physics 2022-01-19 Lucas B. Vieira , Costantino Budroni

The study of correlations between brain regions is an important chapter of the analysis of large-scale brain spatiotemporal dynamics. In particular, novel methods suited to extract dynamic changes in mutual correlations are needed. Here we…

Neurons and Cognition · Quantitative Biology 2018-10-11 Jeremi K. Ochab , Wojciech Tarnowski , and Maciej A. Nowak , Dante R. Chialvo

IntroductionThe free and cued selective reminding test is used to identify memory deficits in mild cognitive impairment and demented patients. It allows assessing three processes: encoding, storage, and recollection of verbal episodic…

Non-Markovian processes have recently become a central topic in the study of open quantum systems. We realize experimentally non-Markovian decoherence processes of single photons by combining time delay and evolution in a…

Temporal graphs are used to abstractly model real-life networks that are inherently dynamic in nature. Given a static underlying graph $G=(V,E)$, a temporal graph on $G$ is a sequence of snapshots $G_t$, one for each time step $t\geq 1$. In…

Computational Complexity · Computer Science 2019-03-12 Eleni C. Akrida , George B. Mertzios , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul G. Spirakis , Viktor Zamaraev

We investigate non-Markovianity measure using two-time correlation functions for open quantum systems. We define non-Markovianity measure as the difference between the exact two-time correlation function and the one obtained in the Markov…

Quantum Physics · Physics 2015-12-09 Md. Manirul Ali , Ping-Yuan Lo , Matisse Wei-Yuan Tu , Wei-Min Zhang

We introduce history-dependent discrete-time quantum random walk models by adding uncorrelated memory terms and also by modifying Hamiltonian of the walker to include couplings with memory-keeping agents. We next numerically study the…

Quantum Physics · Physics 2009-07-10 J. B. Stang , A. T. Rezakhani , B. C. Sanders

Many different approaches for estimating the Interaction Quality (IQ) of Spoken Dialogue Systems have been investigated. While dialogues clearly have a sequential nature, statistical classification approaches designed for sequential…

Human-Computer Interaction · Computer Science 2016-04-08 Stefan Ultes , Alexander Schmitt , Wolfgang Minker

When we encounter a new person or place, we may easily encode it into our memories, or we may quickly forget it. Recent work finds that this likelihood of encoding a given entity - memorability - is highly consistent across viewers and…

Neurons and Cognition · Quantitative Biology 2020-04-21 Wilma A. Bainbridge

Understanding temporal processes and their correlations in time is of paramount importance for the development of near-term technologies that operate under realistic conditions. Capturing the complete multi-time statistics defining a…

Quantum Physics · Physics 2020-04-28 Philip Taranto

Long-range correlations between multiplicities in different rapidity windows in hadron-nucleus collisions are analyzed. After recalling the standard results in the probabilistic model, we study them in the framework of perturbative QCD.…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Armesto , M. A. Braun , C. Pajares

Inhomogeneous temporal processes in natural and social phenomena have been described by bursts that are rapidly occurring events within short time periods alternating with long periods of low activity. In addition to the analysis of…

Physics and Society · Physics 2015-08-26 Hang-Hyun Jo , Juan I. Perotti , Kimmo Kaski , Janos Kertesz

Quantum memory effects can be related to a bidirectional exchange of information between an open system and its environment, which in turn modifies the state and dynamical behavior of the last one. Nevertheless, non-Markovianity can also be…

Quantum Physics · Physics 2021-01-26 Adrián A. Budini

Temporal correlations are fundamental in quantum physics, yet their computation is often challenging. The regression theorem (or hypothesis) serves as a key tool in this context, offering a seemingly straightforward approach. However, it…

Quantum Physics · Physics 2025-07-09 Leonardo Santos , Otfried Gühne , Stefan Nimmrichter

Based on the notion of maximal correlation, Kimeldorf, May and Sampson (1980) introduce a measure of correlation between two random variables, called the "concordant monotone correlation" (CMC). We revisit, generalize and prove new…

Information Theory · Computer Science 2016-06-23 Omid Etesami , Amin Gohari

We demonstrate that the information contained in the spike occurrence times of a population of neurons can be broken up into a series of terms, each of which reflect something about potential coding mechanisms. This is possible in the…

Biological Physics · Physics 2007-05-23 S. Panzeri , S. R. Schultz
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