In this paper we investigate the convergence of iterative stationary and Krylov subspace methods for the PageRank linear system, including the convergence dependency on teleportation. We demonstrate that linear system iterations converge faster than the simple power method and are less sensitive to the changes in teleportation. In order to perform this study we developed a framework for paralle...

We experimentally demonstrate quantum teleportation for continuous variables using squeezed-state entanglement. The teleportation fidelity for a real experimental system is calculated explicitly, including relevant imperfection factors such as propagation losses, detection inefficiencies, and phase fluctuations. The inferred fidelity for input coherent states is F50.6160.02, which when correcte...

We study an entangled two-mode coherent state within the framework of2×2-dimensional Hilbert space. We investigate the problem of quantum teleportation ofa superposition coherent state via an entangled coherent channel. By three differentmeasures with the titles ``minimum assured fidelity (MASF)”, ``average teleportationfidelity” and ``optimal fidelity (f)” we study the ...

In the paper, we describe the teleportation from the viewpoints of the braid group and Temperley–Lieb algebra. We propose the virtual braid teleportation which exploits the teleportation swapping and identifies unitary braid representations with universal quantum gates, and further suggest the braid teleportation which is explained in terms of the crossed measurement and the state model of knot...

In this paper, we describe the teleportation from the viewpoints of the braid group and Temperley–Lieb algebra. We propose the virtual braid teleportation which exploits the teleportation swapping and identifies unitary braid representations with universal quantum gates, and suggest the braid teleportation which is explained in terms of the crossed measurement and the state model of knot theory...

Quantum teleportation is a transport of quantum state of a system to another similar system via a classical channel [1]. The principles of quantum mechanics demand that for realization of such a transport, the sender and the receiver must have two ancillary quantum systems, being strongly quantum-mechanically correlated (entangled). Quantum teleportation is a fundamental phenomenon of quantum w...

We address the issue of totally teleporting the quantum state of an external particle, as opposed to studies on partial teleportation of external single-particle states, total teleportation of coherent states and encoded single-particle states, and intramolecular teleportation of nuclear spin states. We find a set of commuting observables whose measurement directly projects onto the Bell-basis ...

Random teleportation is a necessary evil for ranking and clustering directed networks based on random walks. Teleportation enables ergodic solutions, but the solutions must necessarily depend on the exact implementation and parametrization of the teleportation. For example, in the commonly used PageRank algorithm, the teleportation rate must trade off a heavily biased solution with a uniform so...

Quantum teleportation with additional a priori information about the input state achieves higher fidelity than teleportation of a completely unknown state. However, perfect teleportation of two non-orthogonal input states requires the same amount of en-tanglement as perfect teleportation of an unknown state, namely one ebit. We analyse how well two-state teleportation can be achieved using ever...

We show two new aspects of teleportation based on generalized measurements: I. We present an alternative approach to teleportation based on “generating ρ-ensembles at spacetime separation”; This approach provides a better understanding of teleportation. II. We define the concept of conclusive teleportation and we show how to teleport a quantum state using any pure entangled state; we show how t...