Month: September 2023

Generalized Zurek’s bound on the cost of an individual classical or quantum computation

Artemy Kolchinsky

Phys. Rev. E 108, 034101

We consider the minimal thermodynamic cost of an individual computation, where a single input x is mapped to a single output y. In prior work, Zurek proposed that this cost was given by K(x|y), the conditional Kolmogorov complexity of x given y (up to an additive constant that does not depend on x or y). However, this result was derived from an informal argument, applied only to deterministic computations, and had an arbitrary dependence on the choice of protocol (via the additive constant). Here we use stochastic thermodynamics to derive a generalized version of Zurek’s bound from a rigorous Hamiltonian formulation. Our bound applies to all quantum and classical processes, whether noisy or deterministic, and it explicitly captures the dependence on the protocol. We show that K(x|y) is a minimal cost of mapping x to y that must be paid using some combination of heat, noise, and protocol complexity, implying a trade-off between these three resources. Our result is a kind of “algorithmic fluctuation theorem” with implications for the relationship between the second law and the Physical Church-Turing thesis.

Read the full article at: link.aps.org

How the Brain Makes You: Collective Intelligence and Computation by Neural Circuits


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Vijay Balasubramanian University of Pennsylvania, SFI The human brain consists of a 100 billion neurons connected by a 100 trillion synapses. In its computational function, each neuron is a simple electrical device. In this sense it is no different, in its conceptual essence, from a transistor or a diode in a silicon microchip, converting input signals into ephemeral voltage pulses that transmit to other neurons. And yet, the collective effect of these tiny electrical flutterings creates the intelligent mind, with its astonishing capacity for perception and action, memory and imagination, affection and indifference. In the words of Ramon y Cajal (1854-1932), a founding figure of neuroscience, neurons are “the mysterious butterflies of the soul, whose beating of wings may one day reveal to us the secrets of the mind.” In this talk, Vijay Balasubramanian will explore current ideas about how this transmutation occurs. 

Watch at: www.youtube.com

A Causal Discovery Approach To Learn How Urban Form Shapes Sustainable Mobility Across Continents

Felix Wagner, Florian Nachtigall, Lukas Franken, Nikola Milojevic-Dupont, Rafael H.M. Pereira, Nicolas Koch, Jakob Runge, Marta Gonzalez, Felix Creutzig

Global sustainability requires low-carbon urban transport systems, shaped by adequate infrastructure, deployment of low-carbon transport modes and shifts in travel behavior. To adequately implement alterations in infrastructure, it’s essential to grasp the location-specific cause-and-effect mechanisms that the constructed environment has on travel. Yet, current research falls short in representing causal relationships between the 6D urban form variables and travel, generalizing across different regions, and modeling urban form effects at high spatial resolution. Here, we address all three gaps by utilizing a causal discovery and an explainable machine learning framework to detect urban form effects on intra-city travel based on high-resolution mobility data of six cities across three continents. We show that both distance to city center, demographics and density indirectly affect other urban form features. By considering the causal relationships, we find that location-specific influences align across cities, yet vary in magnitude. In addition, the spread of the city and the coverage of jobs across the city are the strongest determinants of travel-related emissions, highlighting the benefits of compact development and associated benefits. Differences in urban form effects across the cities call for a more holistic definition of 6D measures. Our work is a starting point for location-specific analysis of urban form effects on mobility behavior using causal discovery approaches, which is highly relevant for city planners and municipalities across continents.

Read the full article at: arxiv.org

How biological codes break causal chains to enable autonomy for organisms

Keith D. Farnsworth

Biosystems Volume 232, October 2023, 105013

Autonomy, meaning freedom from exogenous control, requires independence of both constitution and cybernetic regulation. Here, the necessity of biological codes to achieve both is explained, assuming that Aristotelian efficient cause is ‘formal cause empowered by physical force’. Constitutive independence requires closure to efficient causation (in the Rosen sense); cybernetic independence requires transformation of cause–effect into signal-response relations at the organism boundary; the combination of both kinds of independence enables adaptation and evolution. Codes and cyphers translate information from one form of physical embodiment (domain) to another. Because information can only contribute as formal cause to efficient cause within the domain of its embodiment, translation can extend or restrict the range over which information is effective. Closure to efficient causation requires internalised information to be isolated from the cycle of efficient causes that it informs: e.g. Von Neumann self-replicator requires a (template) source of information that is causally isolated from the physical replication system. Life operationalises this isolation with the genetic code translating from the (isolated) domain of codons to that of protein interactions. Separately, cybernetic freedom is achieved at the cell boundary because transducers, which embody molecular coding, translate exogenous information into a domain where it no longer has the power of efficient cause. Information, not efficient cause, passes through the boundary to serve as stimulus for an internally generated response. Coding further extends freedom by enabling historically accumulated information to be selectively transformed into efficient cause under internal control, leaving it otherwise stored inactive. Code-based translation thus enables selective causal isolation, controlling the flow from cause to effect. Genetic code, cell-signalling codes and, in eukaryotes, the histone code, signal sequence based protein sorting and other code-dependent processes all regulate and separate causal chains. The existence of life can be seen as an expression of the power of molecular codes to selectively isolate and thereby organise causal relations among molecular interactions to form an organism.

Read the full article at: www.sciencedirect.com

More is different in real-world multilayer networks

Manlio De Domenico
Nature Physics (2023)

The constituents of many complex systems are characterized by non-trivial connectivity patterns and dynamical processes that are well captured by network models. However, most systems are coupled with each other through interdependencies, characterized by relationships among heterogeneous units, or multiplexity, characterized by the coexistence of different kinds of relationships among homogeneous units. Multilayer networks provide the framework to capture the complexity typical of systems of systems, enabling the analysis of biophysical, social and human-made networks from an integrated perspective. Here I review the most important theoretical developments in the past decade, showing how the layered structure of multilayer networks is responsible for phenomena that cannot be observed from the analysis of subsystems in isolation or from their aggregation, including enhanced diffusion, emergent mesoscale organization and phase transitions. I discuss applications spanning multiple spatial scales, from the cell to the human brain and to ecological and social systems, and offer perspectives and challenges on future research directions.

Read the full article at: www.nature.com