The problem of causal inference is to determine if a given probability
distribution on observed variables is compatible with some causal structure.
The difficult case is when the causal structure includes latent variables. We
here introduce the $\textit{inflation technique}$ for tackling this problem. An
inflation of a causal structure is a new causal structure that can contain
multiple copies of each of the original variables, but where the ancestry of

Atomic physics experiments commonly use magnetic fields of between a few and
a few hundred Gauss to provide a quantization axis. As atomic transition
frequencies depend on the amplitude of this field, many experiments require a
stable absolute field. Most setups use electromagnets, which require a power
supply stability not usually met by commercially available units. We
demonstrate stabilization of a field of 146 G to 43 $\mu$G rms noise (0.29
ppm), compared to noise of $\gtrsim$ 1 mG without any stabilization. The rms

Quantum computers can efficiently simulate many-body systems. As a widely
used Hamiltonian simulation tool, the Trotter-Suzuki scheme splits the
evolution into the number of Trotter steps $N$ and approximates the evolution
of each step by a product of exponentials of each individual term of the total
Hamiltonian. The algorithmic error due to the approximation can be reduced by
increasing $N$, which however requires a longer circuit and hence inevitably

A sequential application of the Grover algorithm to solve the iterated search
problem has been improved by Ozhigov by parallelizing the application of the
oracle. In this work a representation of the parallel Grover as dynamic system
of inversion about the mean and Grover operators is given. Within this
representation the parallel Grover for $k = 2$ can be interpreted as rotation
in three-dimensional space and it can be shown that the sole application of the

The uniformity of the intensity and phase of laser beams is crucial to
high-performance atom interferometers. Inhomogeneities in the laser intensity
profile cause contrast reductions and systematic effects in interferometers
operated with atom sources at micro-Kelvin temperatures, and detrimental
diffraction phase shifts in interferometers using large momentum transfer beam
splitters. We report on the implementation of a so-called tophat laser beam in

Semi-transparent mirrors are standard elements in light optics for splitting
light beams or creating two versions of the same image. Such mirrors do not
exist in electron optics, although they could be beneficial in existing
techniques such as electron interferometry and holography and enable novel
electron imaging and spectroscopy techniques. We propose a design for an
electron beam splitter using the concept of quantum interaction-free
measurement (IFM). The design combines an electron resonator with a weak phase

Poisson–Boltzmann theory allows to study soft matter and biophysical systems involving point-like
charges of low valencies. The inclusion of fluctuation corrections beyond the mean-field approach
typically requires the application of loop expansions around a mean-field solution for the
electrostatic potential ##IMG## []

We apply a measurement-based closed-loop control scheme to the dissipative Lipkin–Meshkov–Glick
model. Specifically, we use the Wiseman–Milburn feedback master equation to control its quantum
phase transition. For the steady state properties of the Lipkin–Meshkov–Glick system under feedback
we show that the considered control scheme changes the critical point of the phase transition. We
show that entanglement measures such as concurrence allow one to unambiguously locate precursors of

The massive ordinary differential equation/integrable model (ODE/IM) correspondence is a relation
between the linear problem associated with modified affine Toda field equations and 2D massive
integrable models. We study the massive ODE/IM correspondence for the ##IMG##
[] -type modified affine Toda

Author(s): Ming-Liang Hu and Heng Fan
By local measurements on party $A$ of a system $\mathit{AB}$ and classical communication between its two parties, one can achieve a nonlocal advantage of quantum coherence (NAQC) on party $B$. For the ${l}_{1}$ norm of coherence and the relative entropy of coherence, we generalized the framework of ...
[Phys. Rev. A 98, 022312] Published Fri Aug 10, 2018