10.1k citations · 10.1k across the 7 of their papers we have counts for
7 papers
Effective criteria for entanglement witnesses in small dimensions
Łukasz Grzelka, Łukasz Skowronek, Karol Życzkowski
We present an effective set of necessary and sufficient criteria for block-positivity of matrices of order over . The approach is based on Sturm sequences and quart…
Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States
Berta Casas, Grzegorz Rajchel-Mieldzioć, Suhail Ahmad Rather +4
Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protoc…
Two-Unitary Complex Hadamard Matrices of Order
Wojciech Bruzda, Karol Życzkowski
A family of two-unitary complex Hadamard matrices (CHM) stemming from a particular matrix, of size is constructed. Every matrix in this orbit remains unitary after operations…
9 4 = 6 6: Understanding the quantum solution to the Euler's problem of 36 officers
Karol Życzkowski, Wojciech Bruzda, Grzegorz Rajchel-Mieldzioć +3
The famous combinatorial problem of Euler concerns an arrangement of officers from six different regiments in a square array. Each regiment consists of six office…
Quantum entanglement
Ryszard Horodecki, Pawel Horodecki, Michal Horodecki +1
All our former experience with application of quantum theory seems to say: {\it what is predicted by quantum formalism must occur in laboratory}. But the essence of quantum formali…
Scattering matrices with block symmetries
Karol Życzkowski
Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient i…
Statistical properties of random scattering matrices
Petr Seba, Karol Zyczkowski, Jakub Zakrzewski
We discuss the properties of eigenphases of S--matrices in random models simulating classically chaotic scattering. The energy dependence of the eigenphases is investigated and the…