214 citations · 786 across the 19 of their papers we have counts for
19 papers
Tailor Made Embeddings for Quantum Machine Learning
Aldo Lamarre, Dominik Šafránek
Autoencoders transformed classical machine learning by solving the curse of dimensionality, enabling principled weight initialization and learning compact, structured representatio…
Entropic partial orderings of quantum measurements
Adam Teixidó-Bonfill, Joseph Schindler, Dominik Šafránek
We investigate four partial orderings on the space of quantum measurements (i.e on POVMs or positive operator valued measures), describing four notions of coarse/fine-ness of measu…
Minimal time required to charge a quantum system
Ju-Yeon Gyhm, Dario Rosa, Dominik Šafránek
We introduce a quantum charging distance as the minimal time that it takes to reach one state (charged state) from another state (depleted state) via a unitary evolution, assuming…
Observational entropy with general quantum priors
Ge Bai, Dominik Šafránek, Joseph Schindler +2
Observational entropy captures both the intrinsic uncertainty of a thermodynamic state and the lack of knowledge due to coarse-graining. We demonstrate two interpretations of obser…
Measuring energy by measuring any other observable
Dominik Šafránek, Dario Rosa
We present a method to estimate the probabilities of outcomes of a quantum observable, its mean value, and higher moments by measuring any other observable. This method is general…
Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds
Francesco Buscemi, Joseph Schindler, Dominik Šafránek
Observational entropy provides a general notion of quantum entropy that appropriately interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to provide…
Quantum Charging Advantage Cannot Be Extensive Without Global Operations
Ju-Yeon Gyhm, Dominik Šafránek, Dario Rosa
Quantum batteries are devices made from quantum states, which store and release energy in a fast and efficient manner, thus offering numerous possibilities in future technological…
A brief introduction to observational entropy
Dominik Šafránek, Anthony Aguirre, Joseph Schindler +1
In the past several years, observational entropy has been developed as both a (time-dependent) quantum generalization of Boltzmann entropy, and as a rather general framework to enc…
Typical and extreme entropies of long-lived isolated quantum systems
Dana Faiez, Dominik Šafránek, J. M. Deutsch +1
In this paper, we investigate and compare two well-developed definitions of entropy relevant for describing the dynamics of isolated quantum systems: bipartite entanglement entropy…
How much entanglement can be created in a closed system?
Dana Faiez, Dominik Šafránek
In a closed system, the total number of particles is fixed. We ask how much does this conservation law restrict the amount of entanglement that can be created. We derive a tight up…
Classical dynamical coarse-grained entropy and comparison with the quantum version
Dominik Šafránek, Anthony Aguirre, J. M. Deutsch
We develop the framework of classical Observational entropy, which is a mathematically rigorous and precise framework for non-equilibrium thermodynamics, explicitly defined in term…
Probabilistic bound on extreme fluctuations in isolated quantum systems
Joshua M. Deutsch, Dominik Šafránek, Anthony Aguirre
We ask to what extent an isolated quantum system can eventually "contract" to be contained within a given Hilbert subspace. We do this by starting with an initial random state, con…
Quantum coarse-grained entropy and thermalization in closed systems
Dominik Šafránek, J. M. Deutsch, Anthony Aguirre
We investigate the detailed properties of Observational entropy, introduced by Šafránek et al. [Phys. Rev. A 99, 010101 (2019)] as a generalization of Boltzmann entropy to quantum…
Quantum coarse-grained entropy and thermodynamics
Dominik Šafránek, J. M. Deutsch, Anthony Aguirre
We extend classical coarse-grained entropy, commonly used in many branches of physics, to the quantum realm. We find two coarse-grainings, one using measurements of local particle…
Discontinuities of the quantum Fisher information and the Bures metric
Dominik Šafránek
We show that two quantities in quantum metrology that were thought to be the same, the quantum Fisher information matrix and the Bures metric, are not the same. They differ at poin…
Optimal probe states for the estimation of Gaussian unitary channels
Dominik Šafránek, Ivette Fuentes
We construct a practical method for finding optimal Gaussian probe states for the estimation of parameters encoded by Gaussian unitary channels. This method can be used for finding…
Quantum parameter estimation using multi-mode Gaussian states
Dominik Šafránek, Antony R. Lee, Ivette Fuentes
Gaussian states are of increasing interest in the estimation of physical parameters because they are easy to prepare and manipulate in experiments. In this article, we derive formu…
Quantum parameter estimation with imperfect reference frames
Dominik Šafránek, Mehdi Ahmadi, Ivette Fuentes
Quantum metrology studies quantum strategies which enable us to outperform their classical counterparts. In this framework, the existence of perfect classical reference frames is u…
Hidden Quantum Markov Models with one qubit
Ben O`Neill, Tom M. Barlow, Dominik Safranek +1
Hidden Markov Models (HMMs) have become very popular as a computational tool for the analysis of sequential data. They are memoryless machines which transition from one internal st…