S. L. Woronowicz
Encyclopedia
Stanisław Lech Woronowicz (born 22 July 1941, Ukmergė
, Lithuania
) is a Polish
mathematician
and physicist
.
It was Woronowicz, and Erling Størmer
, who classified positive map
s in the low dimensional cases. This translates to the Peres-Horodecki criterion
, in the context of quantum information theory. He is also known for contributions to quantum group
s.
Ukmerge
-Early history:Ukmergė was first mentioned as a settlement in 1333. It was essentially a wooden fortress that stood on a hill, near the confluence of the Vilkmergė River and the Šventoji River. Ukmergė was attacked by the Teutonic Knights and the Livonian Order in 1333, 1365, 1378, 1386, and even...
, Lithuania
Lithuanian SSR
The Lithuanian Soviet Socialist Republic , also known as the Lithuanian SSR, was one of the republics that made up the former Soviet Union...
) is a Polish
Poland
Poland , officially the Republic of Poland , is a country in Central Europe bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine, Belarus and Lithuania to the east; and the Baltic Sea and Kaliningrad Oblast, a Russian exclave, to the north...
mathematician
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and physicist
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
.
It was Woronowicz, and Erling Størmer
Erling Størmer
Erling Størmer is a Norwegian mathematician.He was born in Oslo as a son of Leif Størmer. He was a grandson of Carl Størmer and nephew of Per Størmer. He took his doctorate at Columbia University in 1963, and was a professor at the University of Oslo from 1974 to his retirement in 2007...
, who classified positive map
Positive map
The term positive map may refer to:* Positive-definite functions in classical analysis.* positive maps between C*-algebras....
s in the low dimensional cases. This translates to the Peres-Horodecki criterion
Peres-Horodecki criterion
The Peres-Horodecki criterion is a necessary condition, for the joint density matrix \rho of two quantum mechanical systems A and B, to be separable. It is also called the PPT criterion, for positive partial transpose. In the 2x2 and 2x3 dimensional cases the condition is also sufficient...
, in the context of quantum information theory. He is also known for contributions to quantum group
Quantum group
In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra...
s.