61 citations
- Texas A&M UniversityUS12 papers
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Showing 2002Show all
3 papers · 1 filter
math.AG2002★ 3 cited
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces
Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang
We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees were much…
quant-ph2002
Optimal Realizations of Controlled Unitary Gates
Guang Song, Andreas Klappenecker
The controlled-not gate and the single qubit gates are considered elementary gates in quantum computing. It is natural to ask how many such elementary gates are needed to implement…
math.OA2002★ 2 cited
Popa algebras in free group factors
Nathanial P. Brown, Kenneth J. Dykema
For each 1<s<\infty, a Popa algebra A_s is constructed that embeds as a weakly dense C*-subalgebra of the interpolated free group factor L(F_s). Certain approximation properties fo…