2,657 research outputs found
Knitting distributed cluster state ladders with spin chains
There has been much recent study on the application of spin chains to quantum
state transfer and communication. Here we discuss the utilisation of spin
chains (set up for perfect quantum state transfer) for the knitting of
distributed cluster state structures, between spin qubits repeatedly injected
and extracted at the ends of the chain. The cluster states emerge from the
natural evolution of the system across different excitation number sectors. We
discuss the decohering effects of errors in the injection and extraction
process as well as the effects of fabrication and random errors.Comment: To be published in PRA. v2 includes minor corrections as well as an
added discussion on refocussin
Effect of perturbations on information transfer in spin chains
Spin chains have been proposed as a reliable and convenient way of
transferring information and entanglement in a quantum computational context.
Nonetheless, it has to be expected that any physical implementation of these
systems will be subject to several perturbative factors which could potentially
diminish the transfer quality. In this paper, we investigate a number of
possible fabrication defects in the spin chains themselves as well as the
effect of non-synchronous or imperfect input operations, with a focus on the
case of multiple excitation/qubit transfer. We consider both entangled and
unentangled states, and in particular the transfer of an entangled pair of
adjacent spins at one end of a chain under the mirroring rule and also the
creation of entanglement resulting from injection at both end spins.Comment: Journal version fixes last typo
Freezing distributed entanglement in spin chains
We show how to freeze distributed entanglement that has been created from the
natural dynamics of spin chain systems. The technique that we propose simply
requires single-qubit operations and isolates the entanglement in specific
qubits at the ends of branches. Such frozen entanglement provides a useful
resource, for example for teleportation or distributed quantum processing. The
scheme can be applied to a wide range of systems -- including actual spin
systems and alternative qubit embodiments in strings of quantum dots, molecules
or atoms.Comment: 5 pages, to appear in Phys. Rev. A (Rapid Communication
Geometry induced entanglement transitions in nanostructures
We model quantum dot nanostructures using a one-dimensional system of two
interacting electrons. We show that strong and rapid variations may be induced
in the spatial entanglement by varying the nanostructure geometry. We
investigate the position-space information entropy as an indicator of the
entanglement in this system. We also consider the expectation value of the
Coulomb interaction and the ratio of this expectation to the expectation of the
confining potential and their link to the entanglement. We look at the first
derivative of the entanglement and the position-space information entropy to
infer information about a possible quantum phase transition.Comment: 3 pages, 2 figures, to appear in Journal of Applied Physic
Comparing persistence diagrams through complex vectors
The natural pseudo-distance of spaces endowed with filtering functions is
precious for shape classification and retrieval; its optimal estimate coming
from persistence diagrams is the bottleneck distance, which unfortunately
suffers from combinatorial explosion. A possible algebraic representation of
persistence diagrams is offered by complex polynomials; since far polynomials
represent far persistence diagrams, a fast comparison of the coefficient
vectors can reduce the size of the database to be classified by the bottleneck
distance. This article explores experimentally three transformations from
diagrams to polynomials and three distances between the complex vectors of
coefficients.Comment: 11 pages, 4 figures, 2 table
Hubbard model as an approximation to the entanglement in nanostructures
We investigate how well the one-dimensional Hubbard model describes the entanglement of particles trapped in a string of quantum wells. We calculate the average single-site entanglement for two particles interacting via a contact interaction and consider the effect of varying the interaction strength and the interwell distance. We compare the results with the ones obtained within the one-dimensional Hubbard model with on-site interaction. We suggest an upper bound for the average single-site entanglement for two electrons in M wells and discuss analytical limits for very large repulsive and attractive interactions. We investigate how the interplay between interaction and potential shape in the quantum-well system dictates the position and size of the entanglement maxima and the agreement with the theoretical limits. Finally, we calculate the spatial entanglement for the quantum-well system and compare it to its average single-site entanglement
Towards optimized suppression of dephasing in systems subject to pulse timing constraints
We investigate the effectiveness of different dynamical decoupling protocols
for storage of a single qubit in the presence of a purely dephasing bosonic
bath, with emphasis on comparing quantum coherence preservation under uniform
vs. non-uniform delay times between pulses. In the limit of instantaneous
bit-flip pulses, this is accomplished by establishing a new representation of
the controlled qubit evolution, where the resulting decoherence behaviour is
directly expressed in terms of the free evolution. Simple analytical
expressions are given to approximate the long- and short- term coherence
behaviour for both ohmic and supra-ohmic environments. We focus on systems with
physical constraints on achievable time delays, with emphasis on pure dephasing
of excitonic qubits in quantum dots. Our analysis shows that little advantage
of high-level decoupling schemes based on concatenated or optimal design is to
be expected if operational constraints prevent pulses to be applied
sufficiently fast. In such constrained scenarios, we demonstrate how simple
modifications of repeated periodic echo protocols can offer significantly
improved coherence preservation in realistic parameter regimes.Comment: 13 figures,1 tabl
Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
We calculate the spatial entanglement between two electrons trapped in a
nanostructure for a broad class of confinement potentials, including single and
double quantum dots, and core-shell quantum dot structures.
By using a parametrized confinement potential, we are able to switch from one
structure to the others with continuity and to analyze how the entanglement is
influenced by the changes in the confinement geometry. We calculate the
many-body wave function by `exact' diagonalization of the time independent
Schr\"odinger equation. We discuss the relationship between the entanglement
and specific cuts of the wave function, and show that the wave function at a
single highly symmetric point could be a good indicator for the entanglement
content of the system. We analyze the counterintuitive relationship between
spatial entanglement and Coulomb interaction, which connects maxima (minima) of
the first to minima (maxima) of the latter. We introduce a potential quantum
phase transition which relates quantum states characterized by different
spatial topology. Finally we show that by varying shape, range and strength of
the confinement potential, it is possible to induce strong and rapid variations
of the entanglement between the two electrons. This property may be used to
tailor nanostructures according to the level of entanglement required by a
specific application.Comment: 10 pages, 8 figures and 1 tabl
Entanglement and density-functional theory: testing approximations on Hooke's atom
We present two methods of calculating the spatial entanglement of an
interacting electron system within the framework of density-functional theory.
These methods are tested on the model system of Hooke's atom for which the
spatial entanglement can be calculated exactly. We analyse how the strength of
the confining potential affects the spatial entanglement and how accurately the
methods that we introduced reproduce the exact trends. We also compare the
results with the outcomes of standard first-order perturbation methods. The
accuracies of energies and densities when using these methods are also
considered.Comment: 14 pages with 18 figures; corrected typos, corrected expression for
first-order energy in section VI and consequently Fig.13, conclusions and
other results unaffecte
Intrinsic electric field effects on few-particle interactions in coupled GaN quantum dots
We study the multi-exciton optical spectrum of vertically coupled GaN/AlN
quantum dots with a realistic three-dimensional direct-diagonalization approach
for the description of few-particle Coulomb-correlated states. We present a
detailed analysis of the fundamental properties of few-particle/exciton
interactions peculiar of nitride materials. The giant intrinsic electric fields
and the high electron/hole effective masses give rise to different effects
compared to GaAs-based quantum dots: intrinsic exciton-exciton coupling,
non-molecular character of coupled dot exciton wavefunction, strong dependence
of the oscillator strength on the dot height, large ground state energy shift
for dots separated by different barriers. Some of these effects make GaN/AlN
quantum dots interesting candidates in quantum information processing.Comment: 23 pages, 8 figures, 1 tabl
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