Details
| Original language | English |
|---|---|
| Pages (from-to) | 6772-6782 |
| Number of pages | 11 |
| Journal | J. Math. Phys. |
| Volume | 41 |
| Issue number | 10 |
| Publication status | Published - 2000 |
Abstract
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In: J. Math. Phys., Vol. 41, No. 10, 2000, p. 6772-6782.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Why two qubits are special
AU - Vollbrecht, K. G. H.
AU - Werner, R. F.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
M3 - Article
VL - 41
SP - 6772
EP - 6782
JO - J. Math. Phys.
JF - J. Math. Phys.
SN - 1089-7658
IS - 10
ER -