34 citations
6 papers
2-universal Hermitian lattices over imaginary quadratic fields
Myung-Hwan Kim, Poo-Sung Park
A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find all 2-universal ternary and quaternary Her…
Simple proofs for universal binary Hermitian lattices
Poo-Sung Park
If a positive definite Hermitian lattice represents all positive integers, we call it universal. Several mathematicians, including the author, found 25 universal binary Hermitian l…
Three-Qubit Groverian Measure
Eylee Jung, Mi-Ra Hwang, DaeKil Park +2
The Groverian measures are analytically computed in various types of three-qubit states. The final results are also expressed in terms of local-unitary invariant quantities in each…
Geometric Measure of Entanglement and Shared Quantum States
Levon Tamaryan, DaeKil Park, Jin-Woo Son +1
We give an explicit expression for the geometric measure of entanglement for three qubit states that are linear combinations of four orthogonal product states. It turns out that th…
Analytic Expressions for Geometric Measure of Three Qubit States
Levon Tamaryan, DaeKil Park, Sayatnova Tamaryan
A new method is developed to derive an algebraic equations for the geometric measure of entanglement of three qubit pure states. The equations are derived explicitly and solved in…
Reduced State Uniquely Defines Groverian Measure of Original Pure State
Eylee Jung, Mi-Ra Hwang, Hungsoo Kim +4
Groverian and Geometric entanglement measures of the n-party pure state are expressed by the (n-1)-party reduced state density operator directly. This main theorem derives several…