10,298 research outputs found
Single-Step Distillation Protocol with Generalized Beam Splitters
We develop a distillation protocol for multilevel qubits (qudits) using
generalized beam splitters like in the proposal of Pan et al. for ordinary
qubits. We find an acceleration with respect to the scheme of Bennet et al.
when extended to qudits. It is also possible to distill entangled pairs of
photons carrying orbital angular momenta (OAM) states that conserves the total
angular momenta as those produced in recent experiments.Comment: REVTEX4 file, color figure
Distillation Protocols for Mixed States of Multilevel Qubits and the Quantum Renormalization Group
We study several properties of distillation protocols to purify multilevel
qubit states (qudits) when applied to a certain family of initial mixed
bipartite states. We find that it is possible to use qudits states to increase
the stability region obtained with the flow equations to distill qubits. In
particular, for qutrits we get the phase diagram of the distillation process
with a rich structure of fixed points. We investigate the large- limit of
qudits protocols and find an analytical solution in the continuum limit. The
general solution of the distillation recursion relations is presented in an
appendix. We stress the notion of weight amplification for distillation
protocols as opposed to the quantum amplitude amplification that appears in the
Grover algorithm. Likewise, we investigate the relations between quantum
distillation and quantum renormalization processes.Comment: REVTEX4 file, 12 pages, 3 tables, color figure
A bilayer Double Semion Model with Symmetry-Enriched Topological Order
We construct a new model of two-dimensional quantum spin systems that
combines intrinsic topo- logical orders and a global symmetry called flavour
symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an
instance of symmetry-enriched topological order. A honeycomb bi- layer lattice
is introduced to combine a Double Semion Topolgical Order with a global
spin-flavour symmetry to get the fractionalization of its quasiparticles. The
bDS model exhibits non-trival braid- ing self-statistics of excitations and its
dual model constitutes a Symmetry-Protected Topological Order with novel edge
states. This dual model gives rise to a bilayer Non-Trivial Paramagnet that is
invariant under the flavour symmetry and the well-known spin flip symmetry.Comment: revtex4 file, color figure
The dimer-RVB State of the Four-Leg Heisenberg Ladder: Interference among Resonances
We study the ground state of the 4-leg spin ladder using a dimer-RVB ansatz
and the Lanczos method. Besides the well known resonance mechanism between
valence bond configurations we find novel interference effects among nearby
resonances.Comment: 4 pages, RevTex, 7 eps fig
Phase diagram of ferrimagnetic ladders with bond-alternation
We study the phase diagram of a 2-leg bond-alternation spin-(1/2, 1) ladder
for two different configurations using a quantum renormalization group
approach. Although d-dimensional ferrimagnets show gapless behavior, we will
explicitly show that the effect of the spin mixing and the bond-alternation can
open the possibility for observing an energy gap. We show that the gapless
phases of such systems can be equivalent to the 1-dimensional half-integer
antiferroamgnets, besides the gapless ferrimagnetic phases. We therefore
propose a phase transition between these two gapless phases that can be seen in
the parameter space.Comment: 5 pages and 3 ps figures, accepted in Phys. Rev.
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