Elements of Quantum Statistics

W. Ebeling, Thorsten Pöschel

Massimo V. Fischetti, William G. Vandenberghe

Yaakov S. Weinstein, C. Stephen Hellberg

We demonstrate the connection between an operator's matrix element distribution and entangling power via numerical simulations of random, pseudo-random, and quantum chaotic operators. Creating operators with a random distribution of matrix elements is more difficult than creating operators that reproduce other statistical properties of random matrices. Thus, operators that fulfill many random matrix statistical properties may not generate states of high multi-partite entanglement. To quantify the randomness of various statistical distributions and, by extension, entangling power, we use properties of interpolating ensembles that transition between integrable and random matrix ensembles.

R.K. Pathria, Paul D. Beale

K. Theodoropoulos

In this paper a quantum computer based on the recombination processes happening in semiconductor devices is presented. A “data element” and a “computational element” are derived based on Schokley‐Read‐Hall statistics and they can later be used in order to manifest a simple and known quantum algorithm. Such a paradigm is shown by the application of the proposed technology onto the Shor’s period‐finding algorithm.

Raj K. Pathria