The hidden subgroup problem (HSP) is a topic of research in mathematics and theoretical computer science. The framework captures problems such as factoring, ...
Nov 18, 2020 · The problem is that when the group is not abelian (or the hidden subgroup isn't normal), the algorithm fails to find a description of the hidden subgroup in a ...
In this lecture, we will introduce the general hidden subgroup problem (HSP). We'll see how Shor's discrete log algorithm solves a particular instance of the ...
We review the Hidden Subgroup Problem (HSP), one of the most prominent topic in quantum computing. We start with some "historical" quantum algorithms which are ...
What exactly is the impact of the hidden subgroup problem on ...
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Jul 25, 2011 · The interesting part is that lattice reduction can be reduced to HSP over a non-abelian group, for which no efficient algorithm is known yet.
Hidden subgroup problem
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The hidden subgroup problem is a topic of research in mathematics and theoretical computer science. The framework captures problems such as factoring, discrete logarithm, graph isomorphism, and the shortest vector problem. Wikipedia
The Abelian hidden subgroup problem is the problem of finding generators for a subgroup K of an Abelian group G, where this subgroup is defined implicitly ...
Definition: A group G is abelian if xy = yx for all x, y ∈ G. • (In this case, we often write x+y instead of xy.) Groups ...
Jan 30, 2017 · The abelian Hidden Subgroup Problem (HSP) is extremely general, and many problems with known quantum exponential speed-up (such as integers ...
Oct 12, 2015 · A group G is said to be Abelian or commutative if ∀x, y ∈ G we have that xy = yx. That is to say that the group operation is commutative.
Jun 8, 2016 · The hidden subgroup problem (HSP) is an computational algebra problem which has been shown to have a lot of interesting consequences and ...