We study non-Hermitian Josephson junctions formed by superconductors with a finite phase
difference under non-Hermiticity, which naturally appears due to coupling to normal …

Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate
that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of …

Solving linear ordinary differential equations (ODE) is one of the most promising
applications for quantum computers to demonstrate exponential advantages. The challenge …

Understanding the dynamics of open quantum many-body systems is a major problem in
quantum matter. Specifically, efficiently solving the spectrum of the Liouvillian superoperator …

We establish improved complexity estimates of quantum algorithms for linear dissipative
ordinary differential equations (ODEs) and show that the time dependence can be fast …

Well-mixed chemical reaction networks (CRNs) contain many distinct chemical species with
copy numbers that fluctuate in correlated ways. While those correlations are typically …

Two semiconducting quantum dots (QDs) coupled through a superconductor constitute a
minimal realisation of a Kitaev chain with Majorana zero modes (MZMs). Such MZMs can be …

We investigate the transport properties of open Josephson junctions (JJs) through a minimal
effective non-Hermitian (NH) approach derived from the equilibrium Green's function (GF) …

We consider a generalization of the Su-Schrieffer-Heeger (SSH) model by including next-
nearest-neighbour (NNN) interaction and balanced loss-gain (BLG), and subjecting the …

We extend the scattering theory of the Josephson effect to include a coupling of the
Josephson junction to a gapless electron reservoir in the normal state. By opening up the …