nLab Michael Freedman

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Selected writings

On topological quantum computation with a Chern-Simons theory for anyons:

• Michael Freedman, P/NP, and the quantum field computer, Proc. Nat. Acad. Sci. 95 1 (1998) 98-101 [doi:10.1073/pnas.95.1.9]

• Michael Freedman, Alexei Kitaev, Michael Larsen, Zhenghan Wang, Topological quantum computation, Bull. Amer. Math. Soc. 40 (2003), 31-38 (arXiv:quant-ph/0101025, doi:10.1090/S0273-0979-02-00964-3, pdf)

On quantum error correcting codes associated with planar bulk/boundary systems (precursor to holographic tensor networks):

• Michael Freedman, David A. Meyer, Projective Plane and Planar Quantum Codes, Found. Comput. Math. 1, 325–332 (2001) (arXiv:quant-ph/9810055, doi:10.1007/s102080010013)

On braiding of su(2)-anyons providing universal quantum gates for topological quantum computation:

• Michael Freedman, Michael Larsen, Zhenghan Wang, A modular functor which is universal for quantum computation, Communications in Mathematical Physics 227 (2002) 605–622 [arXiv:quant-ph/0001108, doi:10.1007/s002200200645]

On anyons in fractional quantum Hall systems as potential hardware for topological quantum computing:

• Sankar Das Sarma, Michael Freedman, Chetan Nayak: Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State, Phys. Rev. Lett. 94 166802 (2005) [doi:10.1103/PhysRevLett.94.166802, arXiv:cond-mat/0412343]

Approximating all topological quantum gates by just the “weaves” among all braids:

• Steven H. Simon, Nick E. Bonesteel, Michael H. Freedman, N. Petrovic, Layla Hormozi, Topological Quantum Computing with Only One Mobile Quasiparticle, Phys. Rev. Lett. 96 (2006) 070503 (arXiv:quant-ph/0509175, doi:10.1103/PhysRevLett.96.070503)

On topological quantum computation with anyons/quantum Hall effect:

• Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Sankar Das Sarma, Non-Abelian Anyons and Topological Quantum Computation, Rev. Mod. Phys. 80, 1083, 2008 (arXiv:0707.1888, doi:10.1103/RevModPhys.80.1083)

On wreath products of a cyclic with a symmetric group as analogs of (anyon) braid groups in dimension $\gt 2$:

• Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, Zhenghan Wang: Projective Ribbon Permutation Statistics: a Remnant of non-Abelian Braiding in Higher Dimensions, Phys. Rev. B 83 115132 (2011) [doi:10.1103/PhysRevB.83.115132, arXiv:1005.0583]

On topological quantum computation with anyons in topological superconductors (Majorana zero modes):

• Sankar Das Sarma, Michael Freedman, Chetan Nayak, Majorana Zero Modes and Topological Quantum Computation, npj Quantum Information 1, 15001 (2015) (nature:npjqi20151)

On holographic entanglement entropy via bit threads:

• Michael Freedman, Matthew Headrick, Bit threads and holographic entanglement, Comm. Math. Phys. 352, 407 (2017) (arXiv:1604.00354)

Related entries

• quantum computation

category: people