In Thouless pumping, although non-flat band has no effects on the

quantization of particle transport, it induces wave-packet dispersion which

hinders the practical applications of Thouless pumping. Indeed, we find that

the dispersion mainly arises from the dynamical phase difference between

individual Bloch states. Here we propose two efficient schemes to suppress the

dispersion in Thouless pumping: a re-localization echo protocol and a

high-order tunneling suppression protocol. In the re-localization echo

# All

We investigate the entanglement measures of tripartite W-State and GHZ-state

in noninertial frame through the coordinate transformation between Minkowski

and Rindler. First it is shown that all three qubits undergo in a uniform

acceleration $a$ of W-State, we find that the one-tangle, two-tangle, and

$\pi$-tangle decrease when the acceleration parameter $r$ increases, and the

two-tangle cannot arrive to infinity of the acceleration. Next we show that the

Quantum computers will allow calculations beyond existing classical

computers. However, current technology is still too noisy and imperfect to

construct a universal digital quantum computer with quantum error correction.

Inspired by the evolution of classical computation, an alternative paradigm

merging the flexibility of digital quantum computation with the robustness of

analog quantum simulation has emerged. This universal paradigm is known as

digital-analog quantum computing. Here, we introduce an efficient

It is well-known that observing nonlocal correlations allows us to draw

conclusions about the quantum systems under consideration. In some cases this

yields a characterisation which is essentially complete, a phenomenon known as

self-testing. Self-testing becomes particularly interesting if we can make the

statement robust, so that it can be applied to a real experimental setup. For

the simplest self-testing scenarios the most robust bounds come from the method

Much of modern metrology and communication technology encodes information in

electromagnetic waves, typically as an amplitude or phase. While current

hardware can perform near-ideal measurements of photon number or field

amplitude, to date no device exists that can even in principle perform an ideal

phase measurement. In this work, we implement a single-shot canonical phase

measurement on a one-photon wave packet, which surpasses the current standard

of heterodyne detection and is optimal for single-shot phase estimation. By

We consider the logarithmic negativity and related quantities of time

evolution operators. We study free fermion, compact boson, and holographic

conformal field theories (CFTs) as well as numerical simulations of random

unitary circuits and integrable and chaotic spin chains. The holographic

behavior strongly deviates from known non-holographic CFT results and displays

clear signatures of maximal scrambling. Intriguingly, the random unitary

circuits display nearly identical behavior to the holographic channels.

In a special representation of complex action theory that we call

``future-included'', we study a harmonic oscillator model defined with a

non-normal Hamiltonian $\hat{H}$, in which a mass $m$ and an angular frequency

$\omega$ are taken to be complex numbers. In order for the model to be sensible

some restrictions on $m$ and $\omega$ are required. We draw a phase diagram in

the plane of the arguments of $m$ and $\omega$, according to which the model is

classified into several types. In addition, we formulate two pairs of

A three-state system subjected to a time-dependent Hamiltonian whose bare

energies undergo one or more crossings, depending on the relevant parameters,

is considered, also taking into account the role of dissipation in the

adiabatic following of the Hamiltonian eigenstates. Depending on the fact that

the bare energies are equidistant or not, the relevant population transfer

turns out to be very sensitive to the environmental interaction or relatively

robust. The physical mechanisms on the basis of this behavior are discussed in

We analyze the dynamics of multiparticle discrete-time quantum walk on the

two-dimensional lattice, with an interaction inspired on a classical model for

gas collision, called HPP model. In this classical model, the direction of

motion changes only when the particles collide head-on, preserving momentum and

energy. In our quantum model, the dynamics is driven by the usual quantum-walk

evolution operator if the particles are on different nodes, and is driven by

Floquet engineering or coherent time periodic driving of quantum systems has

been successfully used to synthesize Hamiltonians with novel properties. In

ultracold atomic systems, this has led to experimental realizations of

artificial gauge fields, topological band structures, and observation of

dynamical localization, to name just a few. Here we present a Floquet-based

framework to stroboscopically engineer Hamiltonians with spatial features and

periodicity below the diffraction limit of light used to create them by