We show how to simplify the computation of the entanglement of formation and the relative entropy of entanglement for states, which are invariant under a group of local symmetries. For several… Expand

This paper demonstrates how to implement a quantum version of the Metropolis algorithm, a method that has basically acquired a monopoly on the simulation of interacting particles and permits sampling directly from the eigenstates of the Hamiltonian, and thus avoids the sign problem present in classical simulations.Expand

This work constructs interesting entanglement distillation protocols by interpolating between the recurrence and hashing protocols, resulting in an improvement of the distillation rate for all mixed Bell diagonal entangled states, even for the ones with very high fidelity.Expand

For a special class of bipartite states, the asymptotic relative entropy of entanglement ${E}_{R}^{\ensuremath{\infty}}$ is calculated explicitly with respect to states having a positive partial transpose, and the Rains bound is shown to be equal to another upper bound on distillable entanglements.Expand

The activation properties of a new class of symmetric bound entangled states of full rank are investigated and it is shown that in this set there exist universal activator states capable of activating the distillation of any NPPT state.Expand

We analyze some special properties of a system of two qubits, and in particular of the so-called Bell basis for this system, and discuss the possibility of extending these properties to higher… Expand

It is shown that any state having a negative conditional entropy with respect to any value of the entropic parameter is distillable since it violates the reduction criterion.Expand

It is shown that a quantum computer can be built in a 1D chain with a fixed, translationally invariant Hamitonian consisting of nearest-neighbor interactions only.Expand

It is shown how dissipative distillation can be employed in a continuous quantum repeater architecture, in which the resources scale polynomially with the distance.Expand

We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound… Expand