58 citations · 160 across the 14 of their papers we have counts for
14 papers
Orthonormal bases of extreme quantumness
Marcin Rudziński, Adam Burchardt, Karol Życzkowski
Spin anticoherent states acquired recently a lot of attention as the most "quantum" states. Some coherent and anticoherent spin states are known as optimal quantum rotosensors. In…
The Foliage Partition: An Easy-to-Compute LC-Invariant for Graph States
Adam Burchardt, Frederik Hahn
This paper introduces the foliage partition, an easy-to-compute LC-invariant for graph states, of computational complexity in the number of qubits. Inspired by t…
Symmetry and Classification of Multipartite Entangled States
Adam Burchardt
One of the key manifestations of quantum mechanics is the phenomenon of quantum entanglement. While the entanglement of bipartite systems is already well understood, our knowledge…
General stabilizer approach for constructing highly entangled graph states
Zahra Raissi, Adam Burchardt, Edwin Barnes
Highly entangled multipartite states such as k-uniform (k-UNI) and absolutely maximally entangled (AME) states serve as critical resources in quantum networking and other quantum i…
Genuinely quantum SudoQ and its cardinality
Jerzy Paczos, Marcin Wierzbiński, Grzegorz Rajchel-Mieldzioć +2
We expand the quantum variant of the popular game Sudoku by introducing the notion of cardinality of a quantum Sudoku (SudoQ), equal to the number of distinct vectors appearing in…
Entanglement in highly symmetric multipartite quantum states
Adam Burchardt, Jakub Czartowski, Karol Życzkowski
We present a construction of genuinely entangled multipartite quantum states based on the group theory. Analyzed states resemble the Dicke states, whereas the interactions occur on…
Absolutely entangled sets of pure states for bipartitions and multipartitions
Baichu Yu, Pooja Jayachandran, Adam Burchardt +3
A set of quantum states is said to be absolutely entangled, when at least one state in the set remains entangled for any definition of subsystems, i.e. for any choice of the global…
Entanglement Classification via Single Entanglement Measure
Adam Burchardt, Gonçalo M. Quinta, Rui André
We show that a single polynomial entanglement measure is enough to verify equivalence between generic -qubit states under Stochastic Local Operations with Classical Communicatio…
Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem
Suhail Ahmad Rather, Adam Burchardt, Wojciech Bruzda +3
The negative solution to the famous problem of officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution,…
Stochastic Local Operations with Classical Communication of Absolutely Maximally Entangled States
Adam Burchardt, Zahra Raissi
Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. We pr…
Cut-resistant links and multipartite entanglement resistant to particle loss
Gonçalo M. Quinta, Rui André, Adam Burchardt +1
In this work, we explore the space of quantum states composed of particles. To investigate the entanglement resistant to particles loss, we introduce the notion of -resistan…
-uniform mixed states
Waldemar Klobus, Adam Burchardt, Adrian Kolodziejski +4
We investigate the maximum purity that can be achieved by k-uniform mixed states of N parties. Such N-party states have the property that all their k-party reduced states are maxim…
The top-degree part in the Matchings-Jack Conjecture
Adam Burchardt
In 1996 Goulden and Jackson introduced a family of coefficients indexed by triples of partitions which arise in the power sum expansion of some Cauchy sum for Jac…
Algebras with two multiplications and their cumulants
Adam Burchardt
Cumulants are a notion that comes from the classical probability theory, they are an alternative to a notion of moments. We adapt the probabilistic concept of cumulants to the setu…