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The Quantum Entanglement of Binary and Bipolar Sequences

2001/07/31 by M. G. Parker, V. Rijmen
Physics and Astronomy · #quant-ph

paper · pdf

published as Sequences and Their Applications, SETA'01, Discrete Mathematics and Theoretical Computer Science Series, Springer, 2001, Ed.: T.Helleseth, P.V.Kumar and K.Yang · 34 pages. Presented in part at SETA01, Bergen, Norway, May 13-17, 2001. v2: Minor (but annoying) equation typos fixed

arxiv created 2004/06/11 · arxiv updated 2009/12/01

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.

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