# All

## Operational Resource Theory of Non-Markovianity. (arXiv:1709.07248v1 [quant-ph])

To analyze non-Markovianity of tripartite quantum states from a resource
theoretical viewpoint, we introduce a class of quantum operations performed by
three distant parties, and investigate an operational resource theory induced
it. A tripartite state is a free state if and only if it is a quantum Markov
chain. We prove monotonicity of functions such as the conditional mutual
information, intrinsic information, squashed entanglement, a generalization of

## Thermal States as Convex Combinations of Matrix Product States. (arXiv:1709.07423v1 [quant-ph])

We study thermal states of strongly interacting quantum spin chains and prove
that those can efficiently be represented in terms of convex combinations of
matrix product states. Apart from revealing new features of the entanglement
structure of Gibbs states, such as an area law for the entanglement of
formation, our results provide a theoretical justifications for the use of
White's algorithm of minimally entangled typical thermal states. Furthermore,

## Equilibration in one-dimensional quantum hydrodynamic systems

We study quench dynamics and equilibration in one-dimensional quantum hydrodynamics, which provides
effective descriptions of the density and velocity fields in gapless quantum gases. We show that the
information content of the large time steady state is inherently connected to the presence of
ballistically moving localised excitations. When such excitations are present, the system retains
memory of initial correlations up to infinite times, thus evading decoherence. We demonstrate this

## Jump locations of jump-diffusion processes with state-dependent rates

We propose a general framework for studying statistics of jump-diffusion systems driven by both
Brownian noise (diffusion) and a jump process with state-dependent intensity. Of particular natural
interest in many physical systems are the jump locations: the system evaluated at the jump times. As
an example, this could be the voltage at which a neuron fires, or the so-called ‘threshold voltage’.
However, the state-dependence of the jump rate provides direct coupling between the diffusion and

## Collective excitations of a dilute Bose gas at finite temperature: time dependent Hartree–Fock–Bogoliubov theory

Using the time-dependent Hartree–Fock–Bogoliubov approach, where the condensate is coupled with the
thermal cloud and the anomalous density, we study the equilibrium and the dynamical properties of
three-dimensional quantum-degenerate Bose gas at finite temperature. Effects of the anomalous
correlations on the condensed fraction and the critical temperature are discussed. In uniform Bose
gas, useful expressions for the Bogoliubov excitations spectrum, the first and second sound, the

## Entropy, gap and a multi-parameter deformation of the Fredkin spin chain

We introduce a multi-parameter deformation of the Fredkin spin ##IMG##
[http://ej.iop.org/images/1751-8121/50/42/425201/aaa866eieqn001.gif] {$1/2$} chain whose ground
state is a weighted superposition of Dyck paths, depending on a set of parameters t i along the
chain. The parameters are introduced in such a way to maintain a frustration-free system while
allowing the exploration of a range of possible phases. In the case where the parameters are

## One-dimensional Bose gas driven by a slow time-dependent harmonic trap

We consider the unitary time evolution of a one-dimensional cloud of hard-core bosons loaded on a
harmonic trap potential which is slowly released in time with a general ramp ##IMG##
[http://ej.iop.org/images/1751-8121/50/42/425301/aaa890fieqn001.gif] {$g(t)$} . After the
identification of a typical length scale ##IMG##

## Entanglement Hamiltonians for Chiral Fermions with Zero Modes

Author(s): Israel Klich, Diana Vaman, and Gabriel Wong
In this Letter, we study the effect of topological zero modes on entanglement Hamiltonians and the entropy of free chiral fermions in $(1+1)\mathrm{D}$. We show how Riemann-Hilbert solutions combined with finite rank perturbation theory allow us to obtain exact expressions for entanglement Hamiltoni...
[Phys. Rev. Lett. 119, 120401] Published Thu Sep 21, 2017

## Revealing Nonclassicality of Inaccessible Objects

Author(s): Tanjung Krisnanda, Margherita Zuppardo, Mauro Paternostro, and Tomasz Paterek
Some physical objects are hardly accessible to direct experimentation. It is then desirable to infer their properties based solely on the interactions they have with systems over which we have control. In this spirit, here we introduce schemes for assessing the nonclassicality of the inaccessible ob...
[Phys. Rev. Lett. 119, 120402] Published Thu Sep 21, 2017

## Conditional Hybrid Nonclassicality

Author(s): E. Agudelo, J. Sperling, L. S. Costanzo, M. Bellini, A. Zavatta, and W. Vogel
We derive and implement a general method to characterize the nonclassicality in compound discrete- and continuous-variable systems. For this purpose, we introduce the operational notion of conditional hybrid nonclassicality which relates to the ability to produce a nonclassical continuous-variable s...
[Phys. Rev. Lett. 119, 120403] Published Thu Sep 21, 2017