Kernel-based support vector machines (SVMs) are supervised machine learning

algorithms for classification and regression problems. We present a method to

train SVMs on a D-Wave 2000Q quantum annealer and study its performance in

comparison to SVMs trained on conventional computers. The method is applied to

both synthetic data and real data obtained from biology experiments. We find

that the quantum annealer produces an ensemble of different solutions that

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Diamond-based microelectromechanical systems (MEMS) enable direct coupling

between the quantum states of nitrogen-vacancy (NV) centers and the phonon

modes of a mechanical resonator. One example, diamond high-overtone bulk

acoustic resonators (HBARs), feature an integrated piezoelectric transducer and

support high-quality factor resonance modes into the GHz frequency range. The

acoustic modes allow mechanical manipulation of deeply embedded NV centers with

We present OpenMP versions of C and Fortran programs for solving the

Gross-Pitaevskii equation for a rotating trapped Bose-Einstein condensate (BEC)

in two (2D) and three (3D) spatial dimensions. The programs can be used to

generate vortex lattices and study dynamics of rotating BECs. We use the

split-step Crank-Nicolson algorithm for imaginary- and real-time propagation to

calculate stationary states and BEC dynamics, respectively. The programs

propagate the condensate wave function and calculate several relevant physical

The spatial formation of coherent random laser modes in strongly scattering

disordered random media is a central feature in the understanding of the

physics of random lasers. We derive a quantum field theoretical method for

random lasing in disordered samples of complex amplifying Mie resonators which

is able to provide self-consistently and free of any fit parameter the full set

of transport characteristics at and above the laser phase transition. The

coherence length and the correlation volume respectively is derived as an

Periodic driving can be used to coherently control the properties of a

many-body state and to realize new phases which are not accessible in static

systems. For example, exposing materials to intense laser pulses enables to

provoke metal-insulator transitions, control the magnetic order and induce

transient superconducting behaviour well above the static transition

temperature. However, pinning down the responsible mechanisms is often

difficult, since the response to irradiation is governed by complex many-body

For a bipartite entangled state shared by two observers, Alice and Bob, Alice

can affect the post-measured states left to Bob by choosing different

measurements on her half. Alice can convince Bob that she has such an ability

if and only if the unnormalized postmeasured states cannot be described by a

local-hidden-state (LHS) model. In this case, the state is termed steerable

from Alice to Bob. By converting the problem to construct LHS models for

two-qubit Bell diagonal states to the one for Werner states, we obtain the

Schur-Weyl duality is a ubiquitous tool in quantum information. At its heart

is the statement that the space of operators that commute with the tensor

powers of all unitaries is spanned by the permutations of the tensor factors.

In this work, we describe a similar duality theory for tensor powers of

Clifford unitaries. The Clifford group is a central object in many subfields of

quantum information, most prominently in the theory of fault-tolerance. The

duality theory has a simple and clean description in terms of finite

Recent advances in quantum technology facilitate the realization of

information processing using quantum computers at least on the small and

intermediate scales of up to several dozens of qubits. We investigate

entanglement cost required for one-shot quantum state merging, aiming at

quantum state transformation on these scales. In contrast to existing coding

algorithms achieving nearly optimal approximate quantum state merging on a

large scale, we construct algorithms for exact quantum state merging so that

In quantum theory, the no-information-without-disturbance and

no-free-information theorems express that those observables that do not disturb

the measurement of another observable and those that can be measured jointly

with any other observable must be trivial, i.e., coin tossing observables. We

show that in the framework of general probabilistic theories these statements

do not hold in general and continue to completely specify these two classes of

observables. In this way, we obtain characterizations of the probabilistic

We investigate a temporal evolution of an impurity atom in a one-dimensional

trapped Bose gas following a sudden change of the boson-impurity interaction

strength. Our focus is on the effects of inhomogeneity due to the harmonic

confinement. These effects can be described by an effective one-body model

where both the mass and the spring constant are renormalized. This is in

contrast to the classic renormalization, which addresses only the mass. We

propose an effective single-particle Hamiltonian and apply the multi-layer