We discuss some features of thermodynamics in the presence of multiple conserved
quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the …

A special feature of the ground state in a topologically ordered phase is the existence of
large-scale correlations depending only on the topology of the regions. These correlations …

Several important measures of correlations of the state of a finite-dimensional composite
quantum system are defined as linear combinations of marginal entropies of this state. This …

The joint numerical range W (F) of three hermitian 3-by-3 matrices F=(F 1, F 2, F 3) is a
convex and compact subset in R 3. Generically we find that W (F) is a three-dimensional …

In quantum mechanics, geometry has been demonstrated as a useful tool for inferring
nonclassical behaviors and exotic properties of quantum systems. One standard approach …

The accurate and reliable description of measurement devices is a central problem in both
observing uniquely nonclassical behaviors and realizing quantum technologies from …

We study the symmetry-protected topological (SPT) orders for bosonic systems from an
information-theoretic viewpoint. We show that with a proper choice of the onsite basis, the …

Quantum inverse problem (QIP) is the problem of estimating an unknown quantum system
from a set of measurements, whereas the classical counterpart is the inverse problem of …

Kippenhahn's theorem asserts that the numerical range of a matrix is the convex hull of a
certain algebraic curve. Here, we show that the joint numerical range of finitely many …

We study the continuity of an abstract generalization of the maximum-entropy inference—a
maximizer. It is defined as a right-inverse of a linear map restricted to a convex body which …