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Connectivity Bounds for GHZ Graphs
L. Sunil Chandran, Rishikesh Gajjala
Greenberger-Horne-Zeilinger (GHZ) states are multipartite entangled quantum states that play a central role in quantum information theory, with applications in quantum communicatio…
Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions
Kishor Bharti, Rishikesh Gajjala, Tobias Haug
We solve the two-copy distillability problem for Werner states in every local dimension. Our main matrix result is a sharp, dimension-free inequality: for every rank-at-most-two op…
W-state graphs: Structure and Algorithms
Rishikesh Gajjala, Saurabh Ray, Dimitrios M. Thilikos
We study the class of edge-coloured graphs arising from the graph-theoretic representation of quantum photonic experiments that generate multipartite W-states. Abstracting away phy…
Krenn-Gu conjecture for sparse graphs
L. Sunil Chandran, Rishikesh Gajjala, Abraham M. Illickan
Greenberger-Horne-Zeilinger (GHZ) states are quantum states involving at least three entangled particles. They are of fundamental interest in quantum information theory, and the co…
Graph-theoretic insights on the constructability of complex entangled states
L. Sunil Chandran, Rishikesh Gajjala
The most efficient automated way to construct a large class of quantum photonic experiments is via abstract representation of graphs with certain properties. While new directions w…