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20032010
most citedRandom Quantum Operations

95 citations · 210 across the 10 of their papers we have counts for

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10 papers

quant-ph2010★ 20 cited

Universality of spectra for interacting quantum chaotic systems

Wojciech Bruzda, Marek Smaczynski, Valerio Cappellini +2

We analyze a model quantum dynamical system subjected to periodic interaction with an environment, which can describe quantum measurements. Under the condition of strong classical…

nlin.SI2008★ 95 cited

Random Quantum Operations

Wojciech Bruzda, Valerio Cappellini, Hans-Jürgen Sommers +1

We define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Phi a…

nlin.SI2007★ 5 cited

Random Bistochastic Matrices

V. Cappellini, H. -J. Sommers, W. Bruzda +1

Ensembles of random stochastic and bistochastic matrices are investigated. While all columns of a random stochastic matrix can be chosen independently, the rows and columns of a bi…

quant-ph2007★ 10 cited

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…

quant-ph2006★ 36 cited

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…

quant-ph2005★ 1 cited

Quantum dynamical entropies for discrete classical systems: a comparison

Valerio Cappellini

On a family of classical dynamical systems on the 2-torus, we perform a discretization procedure similar to the Anti-Wick quantization. Such a discretization is performed by using…