The protocol for Gaussian Boson Sampling with single-mode squeezed states is presented and it is shown that the proposal with the Hafnian matrix function can retain the higher photon number contributions at the input.Expand

This work investigates the impact of decoherence and static disorder on the dynamics of quantum particles moving in a periodic lattice and simulates three different environmental influences on the system, resulting in a fast ballistic spread, a diffusive classical walk, and the first Anderson localization in a discrete quantum walk architecture.Expand

An expression is derived that relates the probability to measure a specific photon output pattern from a Gaussian state to the Hafnian matrix function and is used to design aGaussian Boson sampling protocol.Expand

When comparing quantum states to each other, it is possible to obtain an unambiguous answer, indicating that the states are definitely different, already after a single measurement. In this paper we… Expand

AbstractThe three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous… Expand

The first robust implementation of a coined quantum walk over five steps using only passive optical elements is presented, observing a non-Gaussian distribution of the walker's final position, thus characterizing a faster spread of the photon wave packet in comparison to the classical random walk.Expand

We analyze the asymptotic dynamics of quantum systems resulting from large numbers of iterations of random unitary operations. Although, in general, these quantum operations cannot be diagonalized it… Expand

An optical system is demonstrated that can simulate quantum walks over a two-dimensional system, thereby providing the capability of describing much more complex processes and illustrating the potential of quantum walks as a route for simulating and understanding complex quantum systems.Expand

The recurrence probability (Pólya number) is analyzed for d-dimensional unbiased quantum walks and a sufficient condition for a quantum walk to be recurrent is derived and a simple criterion for localization of quantum walks is found.Expand

Faithful communication is a necessary precondition for large-scale quantum information processing and networking, irrespective of the physical platform. Thus, the problems of quantum-state transfer… Expand