164 citations · 859 across the 20 of their papers we have counts for
7 papers · 1 filter
Entangled black holes as ciphers of hidden information
Samuel L. Braunstein, Hans-Jürgen Sommers, Karol Życzkowski
The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations t…
Subnormalized states and trace-nonincreasing maps
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
We investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are chara…
Distribution of G-concurrence of random pure states
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entangle…
Statistical properties of random density matrices
Hans-Juergen Sommers, Karol Zyczkowski
Statistical properties of ensembles of random density matrices are investigated. We compute traces and von Neumann entropies averaged over ensembles of random density matrices dist…
Average fidelity between random quantum states
Karol Zyczkowski, Hans-Jurgen Sommers
We analyze mean fidelity between random density matrices of size N, generated with respect to various probability measures in the space of mixed quantum states: Hilbert-Schmidt mea…
Bures volume of the set of mixed quantum states
Hans-Juergen Sommers, Karol Zyczkowski
We compute the volume of the N^2-1 dimensional set M_N of density matrices of size N with respect to the Bures measure and show that it is equal to that of a N^2-1 dimensional hype…