English

The Quantum Entanglement of Binary and Bipolar Sequences

Quantum Physics 2007-05-23 v2

Abstract

Classification of different forms of quantum entanglement is an active area of research, central to development of effective quantum computers, and similar to classification of error-correction codes, where code duality is broadened to equivalence under all 'local' unitary transforms. We explore links between entanglement, coding theory, and sequence design, by examining multi-spectra of quantum states under local unitary action, and show that optimal error-correcting codes and sequences represent states with high multiparticle entanglement.

Keywords

Cite

@article{arxiv.quant-ph/0107106,
  title  = {The Quantum Entanglement of Binary and Bipolar Sequences},
  author = {M. G. Parker and V. Rijmen},
  journal= {arXiv preprint arXiv:quant-ph/0107106},
  year   = {2007}
}

Comments

34 pages. Presented in part at SETA01, Bergen, Norway, May 13-17, 2001. v2: Minor (but annoying) equation typos fixed