Why two qubits are special

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OriginalspracheEnglisch
Seiten (von - bis)6772-6782
Seitenumfang11
FachzeitschriftJ. Math. Phys.
Jahrgang41
Ausgabenummer10
PublikationsstatusVeröffentlicht - 2000

Abstract

We analyze some special properties of a system of two qubits, and in particular of the so-called Bell basis for this system, and discuss the possibility of extending these properties to higher dimensional systems. We give a general construction for orthonormal bases of maximally entangled vectors, which works in any dimension, and is based on Latin squares and complex Hadamard matrices. However, for none of these bases the special properties of the operation of complex conjugation in Bell basis hold, namely that maximally entangled vectors have up-to-a-phase real coefficients and that factorizable unitaries have real matrix elements.

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Why two qubits are special. / Vollbrecht, K. G. H.; Werner, R. F.
in: J. Math. Phys., Jahrgang 41, Nr. 10, 2000, S. 6772-6782.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Vollbrecht, KGH & Werner, RF 2000, 'Why two qubits are special', J. Math. Phys., Jg. 41, Nr. 10, S. 6772-6782.
Vollbrecht, K. G. H., & Werner, R. F. (2000). Why two qubits are special. J. Math. Phys., 41(10), 6772-6782.
Vollbrecht KGH, Werner RF. Why two qubits are special. J. Math. Phys. 2000;41(10):6772-6782.
Vollbrecht, K. G. H. ; Werner, R. F. / Why two qubits are special. in: J. Math. Phys. 2000 ; Jahrgang 41, Nr. 10. S. 6772-6782.
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