Edge Modes and Teleportation in a Topologically Insulating Quantum Wire

doi:10.4236/jmp.2018.911131

Title: Edge Modes and Teleportation in a Topologically Insulating Quantum Wire

Abstract

We find a simple model of an insulating state of a quantum wire which has a single isolated edge mode. We argue that, when brought to proximity, the edge modes on independent wires naturally form Bell entangled states which could be used for elementary quantum processes such as teleportation. We give an example of an algorithm which teleports the spin state of an electron from one quantum wire to another.

Authors:: Ghrear, Majd; Mackovic, Brie; Semenoff, Gordon W.

Publication Date:: 2018-01-01

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

OSTI Identifier:: 1452835

Report Number(s):: FERMILAB-PUB-18-253-CMS; arXiv:1805.08924
Journal ID: ISSN 2153-1196; 1674549

DOE Contract Number:: AC02-07CH11359

Resource Type:: Journal Article

Journal Name:: Journal of Modern Physics

Additional Journal Information:: Journal Volume: 09; Journal Issue: 11; Journal ID: ISSN 2153-1196

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Ghrear, Majd, Mackovic, Brie, and Semenoff, Gordon W. Edge Modes and Teleportation in a Topologically Insulating Quantum Wire.  United States: N. p., 2018. 
        Web.  doi:10.4236/jmp.2018.911131.

Copy to clipboard


                    Ghrear, Majd, Mackovic, Brie, & Semenoff, Gordon W. Edge Modes and Teleportation in a Topologically Insulating Quantum Wire.  United States.  doi:10.4236/jmp.2018.911131.

Copy to clipboard


                    Ghrear, Majd, Mackovic, Brie, and Semenoff, Gordon W. Mon .  
        "Edge Modes and Teleportation in a Topologically Insulating Quantum Wire".  United States.  doi:10.4236/jmp.2018.911131.  https://www.osti.gov/servlets/purl/1452835.

Copy to clipboard


                    
@article{osti_1452835,

  title        = {Edge Modes and Teleportation in a Topologically Insulating Quantum Wire},

  author       = {Ghrear, Majd and Mackovic, Brie and Semenoff, Gordon W.},

  abstractNote = {We find a simple model of an insulating state of a quantum wire which has a single isolated edge mode. We argue that, when brought to proximity, the edge modes on independent wires naturally form Bell entangled states which could be used for elementary quantum processes such as teleportation. We give an example of an algorithm which teleports the spin state of an electron from one quantum wire to another.},

  doi          = {10.4236/jmp.2018.911131},

  journal      = {Journal of Modern Physics},

  issn         = {2153-1196},

  number       = 11,

  volume       = 09,

  place        = {United States},

  year         = {2018},

  month        = {1}

}

Copy to clipboard

Journal Article:

View Journal Article

DOI: 10.4236/jmp.2018.911131

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Figures / Tables:

FIG. 1: The odd-sited one-dimensional lattice with alternating long t and short t′ bonds.

All figures and tables (3 total)

Save / Share:

Export Metadata

Save to My Library

Figures / Tables found in this record:

FIG. 1 (p. 1)

FIG. 2 (p. 2)

FIG. 3 (p. 2)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar records in OSTI.GOV collections:

The Quantum Spin Hall Effect: Theory and Experiment

Journal Article Konig, Markus ; Buhmann, Hartmut ; Molenkamp, Laurens W. ; ... - J.Phys.Soc.Jap.77:031007,2008

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in the bulk, but have topologically protected edge states due to the time reversal symmetry. In two dimensions the helical edge states give rise to the quantum spin Hall (QSH) effect, in the absence of any external magnetic field. Here we review a recent theory which predicts that the QSH state can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantummore »« less
Full Text Available
Improving teleportation of continuous variables by local operations

Journal Article Mista, Ladislav Jr. ; Filip, Radim - Physical Review. A

We study a continuous-variable (CV) teleportation protocol based on a shared entangled state produced by the quantum-nondemolition (QND) interaction of two vacuum states. The scheme utilizes the QND interaction or an unbalanced beam splitter in the Bell measurement. It is shown that in the nonunity gain regime the signal transfer coefficient can be enhanced while the conditional variance product remains preserved by applying appropriate local squeezing operation on sender's part of the shared entangled state. In the unity gain regime, it is demonstrated that the fidelity of teleportation can be increased with the help of the local squeezing operations onmore »« less
DOI: 10.1103/PhysRevA.71.032342
Improving the efficiency of single and multiple teleportation protocols based on the direct use of partially entangled states

Journal Article Fortes, Raphael ; Rigolin, Gustavo, E-mail: rigolin@ifi.unicamp.br - Annals of Physics (New York)

We push the limits of the direct use of partially pure entangled states to perform quantum teleportation by presenting several protocols in many different scenarios that achieve the optimal efficiency possible. We review and put in a single formalism the three major strategies known to date that allow one to use partially entangled states for direct quantum teleportation (no distillation strategies permitted) and compare their efficiencies in real world implementations. We show how one can improve the efficiency of many direct teleportation protocols by combining these techniques. We then develop new teleportation protocols employing multipartite partially entangled states. The threemore »« less
DOI: 10.1016/J.AOP.2013.06.009
Optimization of the transmission of observable expectation values and observable statistics in continuous-variable teleportation

Journal Article Albano Farias, L. ; Stephany, J. - Physical Review. A

We analyze the statistics of observables in continuous-variable (CV) quantum teleportation in the formalism of the characteristic function. We derive expressions for average values of output-state observables, in particular, cumulants which are additive in terms of the input state and the resource of teleportation. Working with a general class of teleportation resources, the squeezed-bell-like states, which may be optimized in a free parameter for better teleportation performance, we discuss the relation between resources optimal for fidelity and those optimal for different observable averages. We obtain the values of the free parameter of the squeezed-bell-like states which optimize the central momentamore »« less
DOI: 10.1103/PHYSREVA.82.062322
Imaging of magnetic DW injection processed in patterened Ni80Fe20 structures

Conference Bryan, M. T. ; Basu, S. ; Fry, P. W. ; ...

Magnetization reversal in patterned ferromagnetic nanowires usually occurs via domain wall (DW) nucleation and propagation from one end (or both ends) of the wire which can be significantly reduced by a large, magnetically soft pad on one of the wire ends. These 'nucleation pads' reverse at lower fields than an isolated nanowire and introduce a DW to the wire from the wire end attached to the pad. Once a critical 'injection' field is reached, the DW sweeps through the wire, reversing its magnetization. Nucleation pads are frequently used as part of nanowire devices and experimental structures. Magnetic-field-driven shift register memorymore »« less
Full Text Available

Similar Records