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Gaussian Boson sampling
TLDR
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.
Decoherence and disorder in quantum walks: from ballistic spread to localization.
TLDR
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.
Detailed study of Gaussian boson sampling
TLDR
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.
Experimentally realizable quantum comparison of coherent states and its applications
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
Continuous deformations of the Grover walk preserving localization
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
Photons walking the line: a quantum walk with adjustable coin operations.
TLDR
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.
Asymptotic evolution of random unitary operations
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
A 2D Quantum Walk Simulation of Two-Particle Dynamics
TLDR
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.
Recurrence and Pólya number of quantum walks.
TLDR
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.
Quantum State Transfer and Network Engineering
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
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