Protocol for making a $2$-qutrit entangling gate in the Kauffman-Jones version of $SU(2)_4$

Claire Levaillant

Protocol for making a $2$-qutrit entangling gate in the Kauffman-Jones version of $SU(2)_4$

Quantum Physics 2015-01-07 v1 Information Theory math.IT Quantum Algebra Representation Theory

Authors: Claire Levaillant

Abstract

The following paper provides a protocol to physically generate a $2$ -qutrit entangling gate in the Kauffman-Jones version of $SU(2)$ Chern-Simons theory at level $4$ . The protocol uses elementary operations on anyons consisting of braids, interferometric measurements, fusions and unfusions and ancilla pair creation.

Keywords

qutrit entangling gate kauffman-jones version su(2) chern-simons theory anyon braiding interferometric measurement fusion ancilla pair creation

Cite

@article{arxiv.1501.01019,
  title  = {Protocol for making a $2$-qutrit entangling gate in the Kauffman-Jones version of $SU(2)_4$},
  author = {Claire Levaillant},
  journal= {arXiv preprint arXiv:1501.01019},
  year   = {2015}
}

Comments

8 pages, 4 figures

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