Bulk-edge correspondence of one-dimensional quantum walks

Cedzich, C.; Grünbaum, F. A.; Stahl, C.; Velázquez, L.; Werner, A. H.; Werner, R. F.

doi:10.1088/1751-8113/49/21/21LT01

Title: Bulk-edge correspondence of one-dimensional quantum walks

Authors:: Cedzich, C.; Grünbaum, F. A.; Stahl, C.; Velázquez, L.; Werner, A. H.; Werner, R. F.

Publication Date:: Wed Apr 20 00:00:00 EDT 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1248246

Grant/Contract Number:: AC03-76SF00098

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Physics. A, Mathematical and Theoretical

Additional Journal Information:: Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Volume: 49 Journal Issue: 21; Journal ID: ISSN 1751-8113

Publisher:: IOP Publishing

Country of Publication:: United Kingdom

Language:: English

Citation Formats


                    Cedzich, C., Grünbaum, F. A., Stahl, C., Velázquez, L., Werner, A. H., and Werner, R. F. Bulk-edge correspondence of one-dimensional quantum walks.  United Kingdom: N. p., 2016. 
Web.  doi:10.1088/1751-8113/49/21/21LT01.

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                    Cedzich, C., Grünbaum, F. A., Stahl, C., Velázquez, L., Werner, A. H., & Werner, R. F. Bulk-edge correspondence of one-dimensional quantum walks.  United Kingdom.  https://doi.org/10.1088/1751-8113/49/21/21LT01

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                    Cedzich, C., Grünbaum, F. A., Stahl, C., Velázquez, L., Werner, A. H., and Werner, R. F. Wed .  
"Bulk-edge correspondence of one-dimensional quantum walks".  United Kingdom.  https://doi.org/10.1088/1751-8113/49/21/21LT01.

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@article{osti_1248246,

  title        = {Bulk-edge correspondence of one-dimensional quantum walks},

  author       = {Cedzich, C. and Grünbaum, F. A. and Stahl, C. and Velázquez, L. and Werner, A. H. and Werner, R. F.},

  abstractNote = {},

  doi          = {10.1088/1751-8113/49/21/21LT01},

  journal      = {Journal of Physics. A, Mathematical and Theoretical},

  number       = 21,

  volume       = 49,

  place        = {United Kingdom},

  year         = {Wed Apr 20 00:00:00 EDT 2016},

  month        = {Wed Apr 20 00:00:00 EDT 2016}

}

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Title: Bulk-edge correspondence of one-dimensional quantum walks

Citation Formats

Symmetries, topological phases, and bound states in the one-dimensional quantum walk journal, November 2012

Exploring topological phases with quantum walks journal, September 2010

Localization of an inhomogeneous discrete-time quantum walk on the line journal, October 2009

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures journal, January 1997

Molecular binding in interacting quantum walks journal, July 2012

Realization of a Quantum Walk with One and Two Trapped Ions journal, March 2010

Recurrence for Discrete Time Unitary Evolutions journal, January 2013

A Quantum Dynamical Approach to Matrix Khrushchev's Formulas journal, May 2015

Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics journal, January 2012

Index Theory of One Dimensional Quantum Walks and Cellular Automata journal, January 2012

Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations journal, March 2012

A 2D Quantum Walk Simulation of Two-Particle Dynamics journal, March 2012

Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations journal, February 2010

Asymptotic evolution of quantum walks with random coin journal, April 2011

Universal quantum computation using the discrete-time quantum walk journal, April 2010

Periodic table for topological insulators and superconductors conference, January 2009

Normal Form of Antiunitary Operators journal, September 1960

Phenomenological Distinction between Unitary and Antiunitary Symmetry Operators journal, September 1960

Search via Quantum Walk journal, January 2011

Quantum Walk as a Generalized Measuring Device journal, May 2013

�ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen journal, June 1910

Search on a fractal lattice using a quantum random walk journal, July 2012

One-Dimensional Quantum Walks with one Defect journal, March 2012

Anyons from nonsolvable finite groups are sufficient for universal quantum computation journal, February 2003

Scattering theory of topological phases in discrete-time quantum walks journal, April 2014

Quantum random walk: Effect of quenching journal, August 2012

One-dimensional three-state quantum walk journal, November 2005

Bulk-boundary correspondence for chiral symmetric quantum walks journal, September 2013

Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging journal, February 2009

Classifying quantum phases using matrix product states and projected entangled pair states journal, October 2011

Disordered quantum walks in one lattice dimension journal, October 2011

Colloquium: Topological insulators journal, November 2010

Quantum Spin Hall Effect in Graphene journal, November 2005

CMV matrices: Five years after journal, November 2007

Quantum Walk of a Trapped Ion in Phase Space journal, August 2009

Weak limits for quantum random walks journal, February 2004

Quantum computations: algorithms and error correction journal, December 1997

Discrete Single-Photon Quantum Walks with Tunable Decoherence journal, April 2010

Dynamical localization for d-dimensional random quantum walks journal, April 2012

Quantum Recurrence of a Subspace and Operator-Valued Schur Functions journal, March 2014

Fault-tolerant quantum computation by anyons journal, January 2003

Localization and fractality in inhomogeneous quantum walks with self-duality journal, September 2010

Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle journal, March 2003

Electric Quantum Walks with Individual Atoms journal, May 2013

Classification of gapped symmetric phases in one-dimensional spin systems journal, January 2011

Relativistic effects in quantum walks: Klein's paradox and zitterbewegung journal, September 2008

Topological phenomena in quantum walks: elementary introduction to the physics of topological phases journal, August 2012

Quantum Walks of Correlated Photons journal, September 2010

Propagation of Quantum Walks in Electric Fields journal, October 2013

Symmetries, topological phases, and bound states in the one-dimensional quantum walk
journal, November 2012

Exploring topological phases with quantum walks
journal, September 2010

Localization of an inhomogeneous discrete-time quantum walk on the line
journal, October 2009

Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures
journal, January 1997

Molecular binding in interacting quantum walks
journal, July 2012

Realization of a Quantum Walk with One and Two Trapped Ions
journal, March 2010

Recurrence for Discrete Time Unitary Evolutions
journal, January 2013

A Quantum Dynamical Approach to Matrix Khrushchev's Formulas
journal, May 2015

Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics
journal, January 2012

Index Theory of One Dimensional Quantum Walks and Cellular Automata
journal, January 2012

Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations
journal, March 2012

A 2D Quantum Walk Simulation of Two-Particle Dynamics
journal, March 2012

Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations
journal, February 2010

Asymptotic evolution of quantum walks with random coin
journal, April 2011

Universal quantum computation using the discrete-time quantum walk
journal, April 2010

Periodic table for topological insulators and superconductors
conference, January 2009

Normal Form of Antiunitary Operators
journal, September 1960

Phenomenological Distinction between Unitary and Antiunitary Symmetry Operators
journal, September 1960

Search via Quantum Walk
journal, January 2011

Quantum Walk as a Generalized Measuring Device
journal, May 2013

�ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen
journal, June 1910

Search on a fractal lattice using a quantum random walk
journal, July 2012

One-Dimensional Quantum Walks with one Defect
journal, March 2012

Anyons from nonsolvable finite groups are sufficient for universal quantum computation
journal, February 2003

Scattering theory of topological phases in discrete-time quantum walks
journal, April 2014

Quantum random walk: Effect of quenching
journal, August 2012

One-dimensional three-state quantum walk
journal, November 2005

Bulk-boundary correspondence for chiral symmetric quantum walks
journal, September 2013

Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
journal, February 2009

Classifying quantum phases using matrix product states and projected entangled pair states
journal, October 2011

Disordered quantum walks in one lattice dimension
journal, October 2011

Colloquium: Topological insulators
journal, November 2010

Quantum Spin Hall Effect in Graphene
journal, November 2005

CMV matrices: Five years after
journal, November 2007

Quantum Walk of a Trapped Ion in Phase Space
journal, August 2009

Weak limits for quantum random walks
journal, February 2004

Quantum computations: algorithms and error correction
journal, December 1997

Discrete Single-Photon Quantum Walks with Tunable Decoherence
journal, April 2010

Dynamical localization for d-dimensional random quantum walks
journal, April 2012

Quantum Recurrence of a Subspace and Operator-Valued Schur Functions
journal, March 2014

Fault-tolerant quantum computation by anyons
journal, January 2003

Localization and fractality in inhomogeneous quantum walks with self-duality
journal, September 2010

Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
journal, March 2003

Electric Quantum Walks with Individual Atoms
journal, May 2013

Classification of gapped symmetric phases in one-dimensional spin systems
journal, January 2011

Relativistic effects in quantum walks: Klein's paradox and zitterbewegung
journal, September 2008

Topological phenomena in quantum walks: elementary introduction to the physics of topological phases
journal, August 2012

Quantum Walks of Correlated Photons
journal, September 2010

Propagation of Quantum Walks in Electric Fields
journal, October 2013