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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…