Quantum Leaps in Complex System Sciences: from Core Physics to the Environment and Society

In his communication “Saltos Quânticos nas Ciências da Complexidade: do Cerne Físico ao Ambiente e Sociedade” at SIC Notícias, a leading news TV channel from Portugal, Prof. Rui Perdigão shares some of his work taking quantum leaps in complex system sciences and technologies, from advancing the core physics to addressing critical challenges faced by the society and the environment. This is one of the outreach interventions in the scope of his brainchild flagships Meteoceanics QITES – Quantum Information Technologies in the Earth Sciences, and ESDI – Earth System Dynamic Intelligence.

The English version of the communication is archived here:

The Portuguese version of the communication is archived here:

The underlying work is detailed in the following scientific publication (in press):

Perdigão, R.A.P. (2022): Quantum Leaps in Complex System Sciences and Technologies. DOI: 10.46337/qites.m211115

Taking the Quantum Pulse of the Planet

In his outreach communication “Tomando o Pulso Quântico ao Planeta” at SIC Notícias, a leading news TV channel from Portugal, Prof. Rui Perdigão lifts the veil from his brainchild Meteoceanics QITES constellation, from the journey leading to its emergence to the far-reaching applications taking the quantum pulse of the planet – and beyond. This is one of the outreach interventions in the scope of his brainchild flagships Meteoceanics QITES – Quantum Information Technologies in the Earth Sciences, and ESDI – Earth System Dynamic Intelligence.

The original communication text (in Portuguese) is archived here for reference:

The underlying work is detailed in the following scientific publication (in press):

Perdigão, R.A.P. (2022): Taking the Quantum Pulse of the Planet. DOI: 10.46337/qites.m211115.qpp

Earth System Dynamic Intelligence with Quantum Technologies

Earth System Dynamic Intelligence with Quantum Technologies: Seeing the “Invisible”, Predicting the “Unpredictable” in a Critically Changing World

We hereby embark on a frontier journey articulating two of our flagship programs – “Earth System Dynamic Intelligence” (Perdigão 2021) and “Quantum Information Technologies in the Earth Sciences” (Perdigão 2020) – to take the pulse of our planet and discern its manifold complexity in a critically changing world.
Going beyond the traditional stochastic-dynamic, information-theoretic, artificial intelligence, mechanistic and hybrid approaches to information and complexity, the underlying fundamental science ignites disruptive developments empowering complex problem solving across frontier natural, social and technical geosciences.
Taking aim at complex multiscale planetary problems, the roles of our flagships are put into evidence in different contexts, ranging from I) Interdisciplinary analytics, model design and dynamic prediction of hydro-climatic and broader geophysical criticalities and extremes across multiple spatiotemporal scales; to II) Sensing the pulse of our planet and detecting early warning signs of geophysical phenomena from Space with our Meteoceanics QITES Constellation, at the interface between our latest developments in non-linear dynamics and emerging quantum technologies.

Cite as:

Perdigão, R.A.P. (2021): Earth System Dynamic Intelligence with Quantum Technologies: Seeing the “Invisible”, Predicting the “Unpredictable” in a Critically Changing World. https://doi.org/10.46337/211028.

Full document: Reserved access

Other formats: partially communicated by videoconference at the Lisbon Academy of Sciences on October 21st and at cE3c on October 28th, 2021:

North Atlantic Climate Centre

From frontier research and education to cutting-edge development empowering scientific excellence, literacy and wisdom.

We have launched the North Atlantic Climate Centre as a new international system-of-systems allying world-class partner institutions into a coherent, solid, reliable partner to all those seeking to understand, nurture and protect the society and the environment.

The North Atlantic Climate Centre encompasses Climate in its broadest sense, across an interdisciplinary interface among frontier natural, social and technical sciences, whilst preserving an extraordinarily strong scientific and methodological core in climate system science, grounded on world-class mathematical physics, geophysical sciences and information technologies, classical and quantum. Synergies with our QITES Alliance and NORA flagships are under way.

Our international academic, scientific and operational projects are already contracted and unfolding since day one in a self-sustainable manner and generating value with frontier science and cutting-edge innovation to solve real problems.

As for the Centre online presence, it is currently at an early stage, yet already worth a visit:

From frontier research and education to cutting-edge development empowering scientific excellence, literacy and wisdom.

“Who is stirring the Waters?” by Hall & Perdigão is published in Science

In our latest Science publication, the Perspective “Who is stirring the Waters?” by Julia Hall and Rui A. P. Perdigão, we offer new emerging pathways to strengthen the science of causal attribution, of relevance to better understand our coevolutionary world.

“Information physics can pave the way for bringing physical meaning to inferential metrics, and a dynamic coevolving flexibility to the statistical metrics of information transfer, bringing new pathways for causal discovery and attribution.”

The publication URL in Science is:


And the citation reference is:

Hall J. & Perdigão R.A.P. (2021): Who is stirring the waters? Science, 371, 6534, 1096-1097, https://doi.org/10.1126/science.abg6514.

Further information regarding our author reprint and full text is provided in the following referral page:

Rui A. P. Perdigão elected to the Lisbon Academy of Sciences as corresponding member in Physics

The prestigious Academy of Sciences in Lisbon (Academia das Ciências de Lisboa) has distinguished Prof. Dr. Rui Perdigão as corresponding member to the Section of Physics. The distinction results from an unanimous election taken place on December 2020 and reflects his scientific, pedagogic and outreach contributions to the field.

Rui Perdigão pioneered new paths in interdisciplinary physics of complex coevolutionary systems, including fundamental advances in nonlinear science to face urgent challenges faced by society and the environment.

“Rui Pita Perdigão is a scientist and professor with excellent contributions at scientific, teaching, pedagogic innovation and university management. (…) His passion and scientific commitment now contributed even more to the venerable missions of the Academy of Sciences”, states the Academy as quoted by the news articles from the Faculty of Sciences and Instituto Superior Técnico from the University of Lisbon.

With more than 200 years of history, the Academy of Sciences is one of the oldest, most prestigious Portuguese scientific institutions of continuous existence. It is dedicated to the advancement of sciences and learning, with the goal of promoting academic progress and prosperity in Portugal.

For further information:


Nonlinear Frontiers

From Dynamical Systems, Information and Complexity to Cutting-Edge Physically Cognitive Artificial Intelligence

Analysing and modelling complex systems often reach technical and theoretical limits under state-of-the-art statistical and computational methods. Their underlying assumptions often encompass structural-functional symmetries and recurrence. However, until very recently the dynamics and predictability of far-from-equilibrium non-ergodic entanglement and coevolution remained elusive.

Our recent advances, ranging from theoretical physics to information theory and cognition, have overcome these issues. This program disseminates our novel theories and applications to empower cutting-edge analysis, modelling and decision support pertaining complex real-world problems.

A set of cutting-edge methodologies is laid out for rigorous analysis and modelling complex dynamic systems, associated predictability and uncertainty, along with the underlying theoretical background and enabling technologies. These enable the robust retrieval and investigation of fundamental dynamic mechanisms and interactions, extending predictability limits and empowering new choices for improving decision support pathways.

The program will guide participants along an excursion through nonlinear frontiers in complex system science, ranging from fundamental physics to artificial intelligence and new cutting-edge developments. We further invite participants to bring their own data, problems and application questions to explore hands-on implementation of the concepts and tools to their fields of interest.

Scholarship support is available to co-sponsor top–tier candidates. For further information, queries and quotes contact: mdsc@meteoceanics.eu.


Module 1: From Dynamical Systems to Information Theory & Complexity

Fundamentals from dynamical systems, information theory, thermodynamics and complexity.

Module 2: Information Physics and Coevolutionary Dynamical Dystems

When invariants of motion are no longer so: mathematical physics of complex coevolutionary systems.

Module 3: Information Retrieval and Model Design in Complex Systems 

From deep machine learning and artificial intelligence to information theoretical evolutionary cognition.

Module 4: Reconciling Artificial Intelligence with Fundamental Physics

New frontiers in mathematical and information physics for realistic cognition, discovery and design.

Module 5: Interdisciplinary Solutions across nature, society & technology

From Earth system dynamics and extremes to socio-environmental modelling and decision support.

Duration: 50 hours + self-practice.

Editions: A) Academic; B) Business.

Chair: Prof. Dr. Rui A. P. Perdigão.

Next Course: Spring Semester 2021

Applications now open for Spring 2021: mdsc@meteoceanics.eu

Dynamical System Analytics in ESS

Dynamic System Analytics in the Earth System Sciences

Analysing complex and dynamic earth and environmental systems often reaches technical and theoretical limits of statistical standard tools. This is the case as most classical statistical approaches fundamentally require assumptions about statistical independence and stationarity, which are especially problematic as soon as we deal with non-linearity and coevolution. Many promising approaches founded in scientific fields ranging from theoretical physics to information theory have been developed. Still, their application to applied climate and environmental sciences remains challenging.

This 6 ECTS course introduces a set of modern tools for rigorous analyses of dynamical systems. Starting off with examples from geophysics and fluid mechanics the course will guide you during an excursion through stochastic physics, information theory, phase-state analyses and applications with big data and scaling. We especially invite you to bring own data and application questions to provide hands-on utilisation of the concepts and tools within your field of research.


1 – From fluid mechanics to dynamical systems

The first module provides a common basis for all participants. With fundamentals from classical fluid dynamics, thermodynamics, stability and scaling laws the foundation is laid. The theoretical lectures are complemented with practical analytical and numerical examples across the earth sciences.

2 – Coevolutionary dynamical systems

The second module extends the classical fluid dynamics with stochastic physics and information theory. With this, complexity is rigorously treated in a simple and coherent framework providing the physical background to coevolutionary dynamics and organisation. The module is halved into theoretical derivations and real-world applications from multiscale geophysical fluid dynamics.

3 – Mastering conjugated dimensions

The third module will redefine the state-space system analyses with physical principles and thermodynamic limits as enhanced phase-state analyses. This steers the participants towards a thorough dynamic system understanding without the requirement for single attractors, finite phases and fixed scales. It also includes conjugated pairs and a new breed of non-paired conjugates. The theoretical derivations are followed by analytical and numerical exercises from simple synthetic cases to real-world applications.

4 – Implementation and frontier topics

The fourth module will start with the application of the prior modules to systems chosen by the participants, who are encouraged to bring associated resources (e.g. datasets). Subsequently frontier topics of coevolutionary scaling and big data applications will be motivated, by presenting ongoing methodological development projects where participants are encouraged to engage.

Interdisciplinary Data Analytics and Model Design at ICS-ULisboa

Rui Perdigão’s “Interdisciplinary Data Analytics and Model Design” is now also available as a semester doctoral course at the University of Lisbon, offering 6 ECTS for students enrolled in partner programs.


  • Acquisition of fundamental competences in data analysis, its relevance and implementation in the conceptualization and formal analysis of systems in an interdisciplinary perspective;
  • Learning fundamental techniques for information retrieval, analysis and treatment along with its uncertainties, from data acquisition to model design;
  • Acquisition of new competences in scientific research, development and communication at the interface between natural and social sciences;
  • Special emphasis on interdisciplinary challenges of climate change and decision support towards sustainable development.


  • Beneath Data, there is a Story: Fundamental principles behind the nature, geometry and dynamics of information across natural, social and joint systems;
  • Retrieving the Story: Fundamental methods for data analytics and model design. From spatiotemporal geostatistics to broader dynamic information tools for data mining, pattern recognition, causal analysis and model design;
  • Quality-checking the Story: Techniques for quality check, uncertainty assessment and data processing towards strengthening information reliability;
  • Sharing the Story: Techniques for data visualization, information sharing and overall communication of scientific results;
  • GeoSys Operation: Operational real-world examples for a) data mining and machine learning in large satellite datasets; b) nonlinear analytics and model design for earth system dynamics; c) early warning and automated decision support systems in natural (e.g. hydro-meteorological, geophysical) hazards;
  • Frontier Operation: early warning detection and adaptive decision support of critical transitions and extremes in the earth system under climate change;
  • Hands-On: Simple analytical and computational examples on the prior points.