# All

## The non-compact XXZ spin chain as stochastic particle process

In this note we relate the Hamiltonian of the integrable non-compact spin s XXZ chain to the Markov
generator of a stochastic particle process. The hopping rates of the continuous-time process are
identified with the ones of a q-Hahn asymmetric zero range model. The main difference with the
asymmetric simple exclusion process, which can be mapped to the ordinary XXZ spin chain, is that
multiple particles can occupy one and the same site. For the non-compact spin ##IMG##

## Exact finite-size corrections in the dimer model on a planar square lattice

We consider the dimer model on the rectangular ##IMG##
[http://ej.iop.org/images/1751-8121/52/33/335001/aab2fedieqn001.gif] lattice with free boundary
conditions. We derive exact expressions for the coefficients in the asymptotic expansion of the free
energy in terms of the elliptic theta functions ( ##IMG##

## Robust fault tolerance for continuous-variable cluster states with excess antisqueezing

Author(s): Blayney W. Walshe, Lucas J. Mensen, Ben Q. Baragiola, and Nicolas C. Menicucci
The immense scalability of continuous-variable cluster states motivates their study as a platform for quantum computing, with fault tolerance possible given sufficient squeezing and appropriately encoded qubits [N. C. Menicucci, Phys. Rev. Lett. 112, 120504 (2014)]. Here, we expand the scope of that...
[Phys. Rev. A 100, 010301(R)] Published Mon Jul 22, 2019

## Deterministic conversions between Greenberger-Horne-Zeilinger states and $W$ states of spin qubits via Lie-transform-based inverse Hamiltonian engineering

Author(s): Yi-Hao Kang, Zhi-Cheng Shi, Bi-Hua Huang, Jie Song, and Yan Xia
In this paper, we propose a protocol to realize the conversions between Greenberger-Horne-Zeilinger (GHZ) states and $W$ states of spin qubits. By analyzing and simplifying the dynamics of the system, the control fields are designed via the inverse Hamiltonian engineering based on the Lie transforms...
[Phys. Rev. A 100, 012332] Published Mon Jul 22, 2019

## Emergent Glassy Dynamics in a Quantum Dimer Model

Author(s): Johannes Feldmeier, Frank Pollmann, and Michael Knap
We consider the quench dynamics of a two-dimensional quantum dimer model and determine the role of its kinematic constraints. We interpret the nonequilibrium dynamics in terms of the underlying equilibrium phase transitions consisting of a Berezinskii-Kosterlitz-Thouless (BKT) transition between a c...
[Phys. Rev. Lett. 123, 040601] Published Mon Jul 22, 2019

## Completely Positive Divisibility Does Not Mean Markovianity

Author(s): Simon Milz, M. S. Kim, Felix A. Pollock, and Kavan Modi
In the classical domain, it is well known that divisibility does not imply that a stochastic process is Markovian. However, for quantum processes, divisibility is often considered to be synonymous with Markovianity. We show that completely positive divisible quantum processes can still involve non-M...
[Phys. Rev. Lett. 123, 040401] Published Mon Jul 22, 2019

## Could the physical world be emergent instead of fundamental, and why should we ask? (short version). (arXiv:1712.01816v2 [quant-ph] UPDATED)

In physics, there is the prevailing intuition that we are part of a unique
external world, and that the goal of physics is to understand and describe this
world. This assumption of the fundamentality of objective reality is often seen
as a major prerequisite of any kind of scientific reasoning. However, here I
argue that we should consider relaxing this assumption in a specific way in
some contexts. Namely, there is a collection of open questions in and around

## Relations between the single-pass and multi-pass qubit gate errors. (arXiv:1903.02371v2 [quant-ph] UPDATED)

In quantum computation the target fidelity of the qubit gates is very high,
with the admissible error being in the range from $10^{-3}$ to $10^{-4}$ and
even less, depending on the protocol. The direct experimental determination of
such an extremely small error is very challenging by standard quantum-process
tomography. Instead, the method of randomized benchmarking, which uses a random
sequence of Clifford gates, has become a standard tool for determination of the

## Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet. (arXiv:1907.08214v1 [cond-mat.quant-gas])

We numerically study the real-time dynamics of a single hole created in the
$t-J$ model on a square lattice. Initially, the hole spreads ballistically with
a velocity proportional to the hopping matrix element. At intermediate to long
times, the dimensionality as well as the spin background determine the hole
dynamics. A hole created in the ground state of a two dimensional quantum
antiferromagnet propagates again ballistically at long times but with a

## Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet nonlinear systems. (arXiv:1907.08464v1 [quant-ph])

Quantum walk, a kind of systems with time-periodic driving (Floquet systems),
is defined by a time-evolution operator, and can possess non-trivial
topological phases. Recently, the stability of topologically protected edge
states in a nonlinear quantum walk has been studied, in terms of an effective
time-indepedent non-Hermitian Hamiltonian, by applying a continuum limit to the
nonlinear quantum walk. In this paper, we study the stability of the edge
states by treating a nonunitary time-evolution operator, which is derived from