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General upper bounds on fluctuations of trajectory observables (2023)
Journal Article
Bakewell-Smith, G., Girotti, F., Guţǎ, M., & Garrahan, J. P. (2023). General upper bounds on fluctuations of trajectory observables. Physical Review Letters, 131(19), Article 197101. https://doi.org/10.1103/PhysRevLett.131.197101

Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctuations of dynamical observables. They have important consequences, one being that the precision of estimation of a current is limited by the amount of entropy pr... Read More about General upper bounds on fluctuations of trajectory observables.

Concentration Inequalities for Output Statistics of Quantum Markov Processes (2023)
Journal Article
Girotti, F., Garrahan, J. P., & Guţă, M. (2023). Concentration Inequalities for Output Statistics of Quantum Markov Processes. Annales Henri Poincaré, https://doi.org/10.1007/s00023-023-01286-1

We derive new concentration bounds for time averages of measurement outcomes in quantum Markov processes. This generalizes well-known bounds for classical Markov chains, which provide constraints on finite-time fluctuations of time-additive quantitie... Read More about Concentration Inequalities for Output Statistics of Quantum Markov Processes.

Dynamical phase transitions as a resource for quantum enhanced metrology (2016)
Journal Article
Macieszczak, K., Gu??, M., Lesanovsky, I., & Garrahan, J. P. (2016). Dynamical phase transitions as a resource for quantum enhanced metrology. Physical Review A, 93(2), Article 022103. https://doi.org/10.1103/PhysRevA.93.022103

We consider the general problem of estimating an unknown control parameter of an open quantum system. We establish a direct relation between the evolution of both system and environment and the precision with which the parameter can be estimated. We... Read More about Dynamical phase transitions as a resource for quantum enhanced metrology.