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Tensor rank and entanglement of pure quantum states
Wojciech Bruzda, Shmuel Friedland, Karol Życzkowski
The rank of a tensor is analyzed in context of quantum entanglement. A pure quantum state of a composite system consisting of subsystems with levels each is viewed…
Encoding classical information into quantum resources
Kamil Korzekwa, Zbigniew Puchała, Marco Tomamichel +1
We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication sce…
Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength
Bhargavi Jonnadula, Prabha Mandayam, Karol Życzkowski +1
Entanglement properties of bipartite unitary operators are studied via their local invariants, namely the entangling power and a complementary quantity, the gate typicality $…
Entangling power of multipartite unitary gates
Tomasz Linowski, Grzegorz Rajchel-Mieldzioć, Karol Życzkowski
We study the entangling properties of multipartite unitary gates with respect to the measure of entanglement called one-tangle. Putting special emphasis on the case of three partie…
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…
Trade--off relations for operation entropy of complementary quantum channels
Jakub Czartowski, Daniel Braun, Karol Życzkowski
The entropy of a quantum operation, defined as the von Neumann entropy of the corresponding Choi-Jamiołkowski state, characterizes the coupling of the principal system with the env…