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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

- Read more about The Tensor Network Theory. (arXiv:1610.02244v2 [quant-ph] UPDATED)
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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