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Controlling the speed and trajectory of evolution with counterdiabatic driving

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TLDR
In this paper, the authors use counter-diabatic driving to control the behaviour of quantum states for applications like quantum computing and manipulating ultracold atoms, and show how a set of external control parameters (that is, varying drug concentrations and types, temperature and nutrients) can guide the probability distribution of genotypes in a population along a specified path and time interval.
Abstract
The pace and unpredictability of evolution are critically relevant in a variety of modern challenges, such as combating drug resistance in pathogens and cancer, understanding how species respond to environmental perturbations like climate change and developing artificial selection approaches for agriculture. Great progress has been made in quantitative modelling of evolution using fitness landscapes, allowing a degree of prediction for future evolutionary histories. Yet fine-grained control of the speed and distributions of these trajectories remains elusive. We propose an approach to achieve this using ideas originally developed in a completely different context—counterdiabatic driving to control the behaviour of quantum states for applications like quantum computing and manipulating ultracold atoms. Implementing these ideas for the first time in a biological context, we show how a set of external control parameters (that is, varying drug concentrations and types, temperature and nutrients) can guide the probability distribution of genotypes in a population along a specified path and time interval. This level of control, allowing empirical optimization of evolutionary speed and trajectories, has myriad potential applications, from enhancing adaptive therapies for diseases to the development of thermotolerant crops in preparation for climate change, to accelerating bioengineering methods built on evolutionary models, like directed evolution of biomolecules. The unpredictability of evolution makes it difficult to deal with drug resistance because over the course of a treatment there may be mutations that we cannot predict. The authors propose to use quantum methods to control the speed and distribution of potential evolutionary outcomes.

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Spatial structure impacts adaptive therapy by shaping intra-tumoral competition

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Adaptive quantum approximate optimization algorithm for solving combinatorial problems on a quantum computer

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Dissipation bounds the amplification of transition rates far from equilibrium.

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Fast and robust magnon transport in a spin chain

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References
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Journal ArticleDOI

Cancer drug resistance: an evolving paradigm

TL;DR: There are now unprecedented opportunities to understand and overcome drug resistance through the clinical assessment of rational therapeutic drug combinations and the use of predictive biomarkers to enable patient stratification.
Journal ArticleDOI

A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem

TL;DR: For the small examples that the authors could simulate, the quantum adiabatic algorithm worked well, providing evidence that quantum computers (if large ones can be built) may be able to outperform ordinary computers on hard sets of instances of NP-complete problems.
Journal ArticleDOI

The chemical Langevin equation

TL;DR: In this article, it is shown that the chemical Langevin equation can be derived from the microphysical premise from which the chemical master equation is derived, which leads directly to an approximate time-evolution equation of the Langevin type.
Book ChapterDOI

Fokker-Planck Equation

TL;DR: In this paper, an equation for the distribution function describing Brownian motion was first derived by Fokker [11] and Planck [12] and it is shown that expectation values for nonlinear Langevin equations (367, 110) are much more difficult to obtain.
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