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Topological Quantum Computing Entanglement Theory Quantum Correlations

Fractional topological phase for entangled qudits

arXiv
Authors: L. E. Oxman, A. Z. Khoury

Year

2010

Paper ID

10906

Status

Preprint

Abstract Read

~2 min

Abstract Words

60

Citations

N/A

Abstract

We investigate the topological structure of entangled qudits under unitary local operations. Different sectors are identified in the evolution, and their geometrical and topological aspects are analyzed. The geometric phase is explicitly calculated in terms of the concurrence. As a main result, we predict a fractional topological phase for cyclic evolutions in the multiply connected space of maximally entangled states.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • We investigate the topological structure of entangled qudits under unitary local operations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2094 [2] arXiv https://arxiv.org/abs/1010.2094 [3] Publisher https://arxiv.org/abs/1010.2094

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