Corpus ID: 118174582

The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography

  title={The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography},
  author={Matthias Christandl},
  journal={arXiv: Quantum Physics},
  • M. Christandl
  • Published 2006
  • Mathematics, Physics
  • arXiv: Quantum Physics
This thesis presents a study of the structure of bipartite quantum states. In the first part, the representation theory of the unitary and symmetric groups is used to analyse the spectra of quantum states. In particular, it is shown how to derive a one-to-one relation between the spectra of a bipartite quantum state and its reduced states, and the Kronecker coefficients of the symmetric group. In the second part, the focus lies on the entanglement of bipartite quantum states. Drawing on an… Expand
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