The origins of computational mechanics: A brief intellectual history and several clarifications
JP Crutchfield - arxiv preprint arxiv:1710.06832, 2017 - arxiv.org
The principle goal of computational mechanics is to define pattern and structure so that the
organization of complex systems can be detected and quantified. Computational mechanics …
organization of complex systems can be detected and quantified. Computational mechanics …
Extreme quantum memory advantage for rare-event sampling
We introduce a quantum algorithm for memory-efficient biased sampling of rare events
generated by classical memoryful stochastic processes. Two efficiency metrics are used to …
generated by classical memoryful stochastic processes. Two efficiency metrics are used to …
Minimized state complexity of quantum-encoded cryptic processes
The predictive information required for proper trajectory sampling of a stochastic process
can be more efficiently transmitted via a quantum channel than a classical one. This recent …
can be more efficiently transmitted via a quantum channel than a classical one. This recent …
[HTML][HTML] The ambiguity of simplicity in quantum and classical simulation
A system's perceived simplicity depends on whether it is represented classically or
quantally. This is not so surprising, as classical and quantum physics are descriptive …
quantally. This is not so surprising, as classical and quantum physics are descriptive …
[HTML][HTML] Extreme quantum advantage when simulating classical systems with long-range interaction
Classical stochastic processes can be generated by quantum simulators instead of the more
standard classical ones, such as hidden Markov models. One reason for using quantum …
standard classical ones, such as hidden Markov models. One reason for using quantum …
Extreme quantum advantage when simulating strongly coupled classical systems
Classical stochastic processes can be generated by quantum simulators instead of the more
standard classical ones, such as hidden Markov models. One reason for using quantum …
standard classical ones, such as hidden Markov models. One reason for using quantum …
[LIVRE][B] Exact results regarding the physics of complex systems via linear algebra, hidden Markov models, and information theory
PM Riechers - 2016 - search.proquest.com
How can we ever make sense of what we observe? As a practical matter, most complex
systems---that is, many-bodied systems with strongly interacting degrees of freedom---can …
systems---that is, many-bodied systems with strongly interacting degrees of freedom---can …
[PDF][PDF] Extreme Quantum Advantage for Rare-Event Sampling
C Aghamohammadi, SP Loomis, JR Mahoney… - sfi-edu.s3.amazonaws.com
From earthquakes to financial market crashes, rare events are associated with catastrophe—
from decimated social infrastructure and the substantial loss of life to global economic …
from decimated social infrastructure and the substantial loss of life to global economic …