9 papers
Unifying quantum measurement constructions via a relative-entropy minimum change principle
Nana Liu, Mark M. Wilde
The minimum change principle provides an information-theoretic characterization of the Bayes reversal channel in classical probability theory and has recently been proposed as a fr…
Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems
Michele Minervini, Madison Chin, Jacob Kupperman +6
A quantum thermodynamic system is described by a Hamiltonian and a list of conserved, non-commuting charges, and a fundamental goal is to determine the minimum energy of the system…
Fermi-Dirac thermal measurements: A framework for quantum hypothesis testing and semidefinite optimization
Nana Liu, Mark M. Wilde
Quantum measurements are the means by which we recover messages encoded into quantum states. They are at the forefront of quantum hypothesis testing, wherein the goal is to perform…
Fundamental questions on robustness and accuracy for classical and quantum learning algorithms
Nana Liu
This chapter introduces and investigates some fundamental questions on the relationship between accuracy and robustness in both classical and quantum classification algorithms unde…
Improved Offline Reinforcement Learning via Quantum Metric Encoding
Outongyi Lv, Yewei Yuan, Nana Liu
Reinforcement learning (RL) with limited samples is common in real-world applications. However, offline RL performance under this constraint is often suboptimal. We consider an alt…
Quantum algorithms for matrix geometric means
Nana Liu, Qisheng Wang, Mark M. Wilde +1
Matrix geometric means between two positive definite matrices can be defined from distinct perspectives - as solutions to certain nonlinear systems of equations, as points along ge…