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It has been shown that classes of (minimal asymmetric) informationally
complete POVMs in dimension d can be built using the multiparticle Pauli group
acting on appropriate fiducial states [M. Planat and Z. Gedik, R. Soc. open
sci. 4, 170387 (2017)]. The latter states may also be derived starting from the
Poincar\'e upper half-plane model H. For doing this, one translates the
congruence (or non-congruence) subgroups of index d of the modular group into
groups of permutation gates whose some of the eigenstates are the seeked

We consider the dynamics of a system consisting of two two-level atoms
interacting with the electromagnetic field near an optical black hole. We
obtain the reduced density operator of the two-atom system in the weak coupling
regime for the case that one atom is in the excited state and the other in the
ground state. The time evolution of the negativity between the atoms is
discussed for two non-resonance and resonance cases. In both cases, we show
that the two atoms can become entangled due to the indirect interaction

In this technical paper we introduce the Tensor Network Theory (TNT) library
-- an open-source software project aimed at providing a platform for rapidly
developing robust, easy to use and highly optimised code for TNT calculations.
The objectives of this paper are (i) to give an overview of the structure of
TNT library, and (ii) to help scientists decide whether to use the TNT library
in their research. We show how to employ the TNT routines by giving examples of

We analytically evaluate the entanglement spectra of the superconductivity
states in graphene, primarily focusing on the s-wave and chiral $
d_{x^{2}-y^{2}}+id_{xy} $ superconductivity states. We demonstrate that the
topology of the entanglement Hamiltonian can differ from that of the subsystem
Hamiltonian. In particular, the topological properties of the entanglement
Hamiltonian of the chiral $ d_{x^{2}-y^{2}}+id_{xy} $ superconductivity state
obtained by tracing out one spin direction clearly differ from those of the

Wiesner's unforgeable quantum money scheme is widely celebrated as the first
quantum information application. Based on the no-cloning property of quantum
mechanics, this scheme allows for the creation of credit cards used in
authenticated transactions offering security guarantees impossible to achieve
by classical means. However, despite its central role in quantum cryptography,
its experimental implementation has remained elusive because of the lack of
quantum memories and of practical verification techniques. Here, we

By applying invariant-based inverse engineering in the small-oscillations
regime, we design the time dependence of the control parameters of an overhead
crane (trolley displacement and rope length), to transport a load between two
positions at different heights with minimal final energy excitation for a
microcanonical ensemble of initial conditions. The analogies between ion
transport in multisegmented traps or neutral atom transport in moving optical

Quantum mechanics provides means of generating genuine randomness that is
impossible with deterministic classical processes. Remarkably, the
unpredictability of randomness can be certified in a self-testing manner that
is independent of implementation devices. Here, we present an experimental
demonstration of self-testing quantum random number generation based on an
detection-loophole free Bell test with entangled photons. In the randomness
analysis, without the assumption of independent identical distribution, we

Cooling the rotation and the vibration of molecules by broadband light
sources was possible for trapped molecular ions or ultracold molecules. Because
of a low power spectral density, the cooling timescale has never fell below
than a few milliseconds. Here we report on rotational and vibrational cooling
of a supersonic beam of barium monofluoride molecules in less than 440 $\mu$s.
Vibrational cooling was optimized by enhancing the spectral power density of a

In the model of gate-based quantum computation, the qubits are controlled by
a sequence of quantum gates. In superconducting qubit systems, these gates can
be implemented by voltage pulses. The success of implementing a particular gate
can be expressed by various metrics such as the average gate fidelity, the
diamond distance, and the unitarity. We analyze these metrics of gate pulses
for a system of two superconducting transmon qubits coupled by a resonator, a

This paper presents a Lyapunov based controller to stabilize and manipulate
an observed quantum system. The proposed control is applied to the stochastic
Schrodinger equation. In order to ensure the stability of the system at the
desired final state, the conventional Ito formula is further extended to the
un-differentiable random processes. Using this extended Ito formula, a novel
stochastic stability theorem is developed. Continued by another convergence