Universal quantum computation using fractal symmetry-protected cluster phases

Devakul, Trithep; Williamson, Dominic J.

doi:10.1103/PhysRevA.98.022332

Title: Universal quantum computation using fractal symmetry-protected cluster phases

Authors:: Devakul, Trithep; Williamson, Dominic J.

Publication Date:: Thu Aug 30 00:00:00 EDT 2018

Sponsoring Org.:: USDOE

OSTI Identifier:: 1467916

Grant/Contract Number:: 100368 DE-AC02-76SF00515

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review A

Additional Journal Information:: Journal Name: Physical Review A Journal Volume: 98 Journal Issue: 2; Journal ID: ISSN 2469-9926

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Devakul, Trithep, and Williamson, Dominic J. Universal quantum computation using fractal symmetry-protected cluster phases.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevA.98.022332.

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                    Devakul, Trithep, & Williamson, Dominic J. Universal quantum computation using fractal symmetry-protected cluster phases.  United States.  https://doi.org/10.1103/PhysRevA.98.022332

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                    Devakul, Trithep, and Williamson, Dominic J. Thu .  
"Universal quantum computation using fractal symmetry-protected cluster phases".  United States.  https://doi.org/10.1103/PhysRevA.98.022332.

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@article{osti_1467916,

  title        = {Universal quantum computation using fractal symmetry-protected cluster phases},

  author       = {Devakul, Trithep and Williamson, Dominic J.},

  abstractNote = {},

  doi          = {10.1103/PhysRevA.98.022332},

  journal      = {Physical Review A},

  number       = 2,

  volume       = 98,

  place        = {United States},

  year         = {Thu Aug 30 00:00:00 EDT 2018},

  month        = {Thu Aug 30 00:00:00 EDT 2018}

}

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Works referenced in this record:

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Title: Universal quantum computation using fractal symmetry-protected cluster phases

Citation Formats

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations journal, December 2015

Cluster-state quantum computation journal, February 2006

Universal quantum computer from a quantum magnet journal, November 2010

Valence-bond states for quantum computation journal, December 2004

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection journal, January 2005

Identifying Phases of Quantum Many-Body Systems That Are Universal for Quantum Computation journal, July 2009

Quantum computational capability of a 2D valence bond solid phase journal, July 2011

Universal measurement-based quantum computation in two-dimensional symmetry-protected topological phases journal, September 2017

Symmetry protected topological orders and the group cohomology of their symmetry group journal, April 2013

Topological phases with generalized global symmetries journal, April 2016

Measurement-based quantum computation in a two-dimensional phase of matter journal, January 2012

Local stabilizer codes in three dimensions without string logical operators journal, April 2011

Symmetry-protected topological phases with uniform computational power in one dimension journal, July 2017

Subsystem symmetry protected topological order journal, July 2018

Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation journal, June 2009

Hybrid valence-bond states for universal quantum computation journal, October 2014

Hierarchy of universal entanglement in 2D measurement-based quantum computation journal, November 2016

Quantum spin models for measurement-based quantum computation journal, January 2018

Complete classification of one-dimensional gapped quantum phases in interacting spin systems journal, December 2011

Symmetry-protected adiabatic quantum transistors journal, May 2015

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Topological order in an exactly solvable 3D spin model journal, April 2011

Universal measurement-based quantum computation with spin-2 Affleck-Kennedy-Lieb-Tasaki states journal, July 2015

Long-range quantum entanglement in noisy cluster states journal, June 2005

Two-dimensional Affleck-Kennedy-Lieb-Tasaki state on the honeycomb lattice is a universal resource for quantum computation journal, September 2012

Exotic topological order in fractal spin liquids journal, September 2013

Symmetry-protected topological order at nonzero temperature journal, August 2017

Symmetry-Protected Topological Orders in Interacting Bosonic Systems journal, December 2012

Fractal symmetries: Ungauging the cubic code journal, October 2016

Symmetry-protected topologically ordered states for universal quantum computation journal, November 2015

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order journal, October 2010

Computational Power of Symmetry-Protected Topological Phases journal, July 2017

Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource journal, February 2011

Measurement-based quantum computation on cluster states journal, August 2003

Topological quantum glassiness journal, January 2012

Fracton topological order, generalized lattice gauge theory, and duality journal, December 2016

Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order journal, October 2009

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

Latent Computational Complexity of Symmetry-Protected Topological Order with Fractional Symmetry journal, April 2018

Measurement-based quantum computation journal, January 2009

Novel Schemes for Measurement-Based Quantum Computation journal, May 2007

Quantum Computation on the Edge of a Symmetry-Protected Topological Order journal, July 2010

Emergence of XY-like phase in deformed spin- 3 2 AKLT systems journal, October 2016

Universal Resources for Measurement-Based Quantum Computation journal, October 2006

A One-Way Quantum Computer journal, May 2001

Symmetry protection of measurement-based quantum computation in ground states journal, November 2012

Symmetry-Protected Phases for Measurement-Based Quantum Computation journal, June 2012

Quantum Computation by Local Measurement journal, March 2012

Measurement-based quantum computation beyond the one-way model journal, November 2007

Symmetry protection of topological phases in one-dimensional quantum spin systems journal, February 2012

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations
journal, December 2015

Cluster-state quantum computation
journal, February 2006

Universal quantum computer from a quantum magnet
journal, November 2010

Valence-bond states for quantum computation
journal, December 2004

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection
journal, January 2005

Identifying Phases of Quantum Many-Body Systems That Are Universal for Quantum Computation
journal, July 2009

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journal, July 2011

Universal measurement-based quantum computation in two-dimensional symmetry-protected topological phases
journal, September 2017

Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013

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journal, April 2016

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journal, January 2012

Local stabilizer codes in three dimensions without string logical operators
journal, April 2011

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journal, July 2018

Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation
journal, June 2009

Hybrid valence-bond states for universal quantum computation
journal, October 2014

Hierarchy of universal entanglement in 2D measurement-based quantum computation
journal, November 2016

Quantum spin models for measurement-based quantum computation
journal, January 2018

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journal, December 2011

Symmetry-protected adiabatic quantum transistors
journal, May 2015

Resource Quality of a Symmetry-Protected Topologically Ordered Phase for Quantum Computation
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Topological order in an exactly solvable 3D spin model
journal, April 2011

Universal measurement-based quantum computation with spin-2 Affleck-Kennedy-Lieb-Tasaki states
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Long-range quantum entanglement in noisy cluster states
journal, June 2005

Two-dimensional Affleck-Kennedy-Lieb-Tasaki state on the honeycomb lattice is a universal resource for quantum computation
journal, September 2012

Exotic topological order in fractal spin liquids
journal, September 2013

Symmetry-protected topological order at nonzero temperature
journal, August 2017

Symmetry-Protected Topological Orders in Interacting Bosonic Systems
journal, December 2012

Fractal symmetries: Ungauging the cubic code
journal, October 2016

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journal, February 2011

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journal, August 2003

Topological quantum glassiness
journal, January 2012

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journal, December 2016

Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
journal, October 2009

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journal, October 2011

Latent Computational Complexity of Symmetry-Protected Topological Order with Fractional Symmetry
journal, April 2018

Measurement-based quantum computation
journal, January 2009

Novel Schemes for Measurement-Based Quantum Computation
journal, May 2007

Quantum Computation on the Edge of a Symmetry-Protected Topological Order
journal, July 2010

Emergence of XY-like phase in deformed spin- $\frac{3}{2}$ AKLT systems
journal, October 2016

Universal Resources for Measurement-Based Quantum Computation
journal, October 2006

A One-Way Quantum Computer
journal, May 2001

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journal, November 2012

Symmetry-Protected Phases for Measurement-Based Quantum Computation
journal, June 2012

Quantum Computation by Local Measurement
journal, March 2012

Measurement-based quantum computation beyond the one-way model
journal, November 2007

Symmetry protection of topological phases in one-dimensional quantum spin systems
journal, February 2012