23 citations · 67 across the 12 of their papers we have counts for
12 papers
State Diagnostics of Complexity in Open Quantum Systems
Komal Sah, Fabio Anza, Alexandra M. Jurgens +1
We study the emergence of complexity in finite-size quantum systems as their dynamics transition from closed and coherent evolution to interacting and effectively open behavior. Us…
Agentic Information Theory: Ergodicity and Intrinsic Semantics of Information Processes
James P. Crutchfield, Alexandra Jurgens
We develop information theory for the temporal behavior of memoryful agents moving through complex -- structured, stochastic -- environments. We introduce and explore information p…
Taxonomy of Prediction
Alexandra Jurgens, James P. Crutchfield
A prediction makes a claim about a system's future given knowledge of its past. A retrodiction makes a claim about its past given knowledge of its future. The bidirectional machine…
Learning Orthogonal Random Unitary Channels with Contracted Quantum Approaches and Simplex Optimization
Scott E. Smart, Alexander Jürgens, Joseph Peetz +1
Random (mixed) unitary channels describe an important subset of quantum channels, which are commonly used in quantum information, noise modeling, and quantum error mitigation. Desp…
Inferring Kernel -Machines: Discovering Structure in Complex Systems
Alexandra M. Jurgens, Nicolas Brodu
Previously, we showed that computational mechanic's causal states -- predictively-equivalent trajectory classes for a stochastic dynamical system -- can be cast into a reproducing…
Whales in Space: Experiencing Aquatic Animals in Their Natural Place with the Hydroambiphone
James P. Crutchfield, David D. Dunn, Alexandra M. Jurgens
Recording the undersea three-dimensional bioacoustic sound field in real-time promises major benefits to marine behavior studies. We describe a novel hydrophone array -- the hydroa…
Whale Casting: Remote mobile streaming humpback whale vocalizations to the world
James P. Crutchfield, Alexandra M. Jurgens
Over several days in early August 2021, while at sea in Chatham Strait, Southeast Alaska, aboard M/Y Blue Pearl, an online twitch.tv stream broadcast in real-time humpback whale vo…
Ambiguity Rate of Hidden Markov Processes
Alexandra M. Jurgens, James P. Crutchfield
The -machine is a stochastic process' optimal model -- maximally predictive and minimal in size. It often happens that to optimally predict even simply-defined processes, probab…
Divergent Predictive States: The Statistical Complexity Dimension of Stationary, Ergodic Hidden Markov Processes
Alexandra M. Jurgens, James P. Crutchfield
Even simply-defined, finite-state generators produce stochastic processes that require tracking an uncountable infinity of probabilistic features for optimal prediction. For proces…
Shannon Entropy Rate of Hidden Markov Processes
Alexandra M. Jurgens, James P. Crutchfield
Hidden Markov chains are widely applied statistical models of stochastic processes, from fundamental physics and chemistry to finance, health, and artificial intelligence. The hidd…
Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
Alexandra M. Jurgens, James P. Crutchfield
Maxwellian ratchets are autonomous, finite-state thermodynamic engines that implement input-output informational transformations. Previous studies of these "demons" focused on how…
Measurement-Induced Randomness and Structure in Controlled Qubit Processes
Ariadna E. Venegas-Li, Alexandra M. Jurgens, James P. Crutchfield
When an experimentalist measures a time series of qubits, the outcomes generate a classical stochastic process. We show that measurement induces high complexity in these processes…