# All

## Enhanced entanglement criterion via symmetric informationally complete measurements

Author(s): Jiangwei Shang, Ali Asadian, Huangjun Zhu, and Otfried Gühne
The challenges of entanglement detection lead to the development of several entanglement measures and criteria. Here a special type of measurement is used to attest entanglement in a stronger way, i.e. it catches forms that are missed by other criteria and is effective in a single-shot fashion.
[Phys. Rev. A 98, 022309] Published Fri Aug 10, 2018

## Decentralized base-graph routing for the quantum internet

Author(s): Laszlo Gyongyosi and Sandor Imre
Quantum repeater networks are a fundamental of any future quantum internet and long-distance quantum communications. The entangled quantum nodes can communicate through several different levels of entanglement, leading to a heterogeneous, multilevel network structure. The level of entanglement betwe...
[Phys. Rev. A 98, 022310] Published Fri Aug 10, 2018

## One-sided device-independent self-testing of any pure two-qubit entangled state

Author(s): Suchetana Goswami, Bihalan Bhattacharya, Debarshi Das, Souradeep Sasmal, C. Jebaratnam, and A. S. Majumdar
We consider the problem of one-sided device-independent self-testing of any pure entangled two-qubit state based on steering inequalities which certify the presence of quantum steering. In particular, we note that in the 2-2-2 steering scenario (involving two parties, two measurement settings per pa...
[Phys. Rev. A 98, 022311] Published Fri Aug 10, 2018

## Low rank representations for quantum simulation of electronic structure. (arXiv:1808.02625v2 [physics.comp-ph] UPDATED)

The quantum simulation of quantum chemistry is a promising application of
quantum computers. However, for N molecular orbitals, the $\mathcal{O}(N^4)$
gate complexity of performing Hamiltonian and unitary Coupled Cluster Trotter
steps makes simulation based on such primitives challenging. We substantially
reduce the gate complexity of such primitives through a two-step low-rank
factorization of the Hamiltonian and cluster operator, accompanied by
truncation of small terms. Using truncations that incur errors below chemical

## Circuit complexity in interacting QFTs and RG flows. (arXiv:1808.03105v1 [hep-th])

We consider circuit complexity in certain interacting scalar quantum field
theories, mainly focusing on the $\phi^4$ theory. We work out the circuit
complexity for evolving from a nearly Gaussian unentangled reference state to
the entangled ground state of the theory. Our approach uses Nielsen's geometric
method, which translates into working out the geodesic equation arising from a
certain cost functional. We present a general method, making use of integral

## Statistical properties of eigenstate amplitudes in complex quantum systems. (arXiv:1710.11433v2 [cond-mat.stat-mech] UPDATED)

We study the eigenstates of quantum systems with large Hilbert spaces, via
their distribution of wavefunction amplitudes in a real-space basis. For
single-particle 'quantum billiards', these real-space amplitudes are known to
have Gaussian distribution for chaotic systems. In this work, we formulate and
address the corresponding question for many-body lattice quantum systems. For
integrable many-body systems, we examine the deviation from Gaussianity and
provide evidence that the distribution generically tends toward power-law

## Leggett-Garg inequality in Wigner form. (arXiv:1808.03119v1 [quant-ph])

Using the Wigner approach, we propose an inequality to test the macroscopic
realism concept. The proposed inequality is first derived for three distinct
moments of time and then for $n$ distinct moments of time. Using the latter one
we show that any unitary evolution of a quantum system contradicts the concept
of macroscopic realism. We also obtain an inequality for testing of the
hypothesis of realism. It is shown that this inequality is not identical to the
Wigner inequality.

## Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit. (arXiv:1808.03125v1 [quant-ph])

We propose the use of a waveguide-like transmission line based on
direct-current superconducting quantum interference devices (dc-SQUID) and
study the sine-Gordon (SG) equation which characterises the dynamical behavior
of the superconducting phase in this transmission line. Guided by the duality
between black holes in Jackiw-Teitelboim (JT) dilaton gravity and solitons in
sine-Gordon field theory, we show how to, in our setup, realize 1 + 1
dimensional black holes as solitons of the sine-Gordon equation. We also study

## Parity-time-symmetric topological superconductor. (arXiv:1801.00499v2 [cond-mat.mes-hall] UPDATED)

We investigate a topological superconducting wire with balanced gain and loss
that is effectively described by the non-Hermitian Kitaev/Majorana chain with
parity-time symmetry. This system is shown to possess two distinct types of
unconventional edge modes, those with complex energies and nonorthogonal
Majorana zero modes. The latter edge modes cause nonlocal particle transport
with currents that are localized at the edges and absent in the bulk. This
anomalous particle transport results from the interplay between parity-time

## Non-commutative measure of quantum correlations under local operations. (arXiv:1808.03131v1 [quant-ph])

We study some desirable properties of recently introduced measures of quantum
correlations based on the amount of non-commutativity quantified by the
Hilbert-Schmidt norm (Sci Rep 6:25241, 2016, and Quantum Inf. Process. 16:226,
2017). Specifically, we show that: 1) for any bipartite ($A+B$) state, the
measures of quantum correlations with respect to subsystem $A$ are
non-increasing under any Local Commutative Preserving Operation on subsystem
$A$, and 2) for Bell diagonal states, the measures are non-increasing under