Bipartite unitary gates and billiard dynamics in the Weyl chamber

Long time behavior of a unitary quantum gate $U$, acting sequentially on two subsystems of dimension $N$ each, is investigated. We derive an expression describing an arbitrary iteration of a two-qubit gate making use of a link to the dynamics of a free particle in a $3D$ billiard. Due to ergodicity of such a dynamics an average along a trajectory $V^t$ stemming from a generic two-qubit gate $V$ in the canonical form tends for a large $t$ to the average over an ensemble of random unitary gates distributed according to the flat measure in the Weyl chamber - the minimal $3D$ set containing points from all orbits of locally equivalent gates. Furthermore, we show that for a large dimension $N$ the mean entanglement entropy averaged along a generic trajectory coincides with the average over the ensemble of random unitary matrices distributed according to the Haar measure on $U(N^2)$

Aspectos agroeconômicos da cultura da mandioca: características e evolução da cultura no estado de Alagoas entre 1990 e 2004.

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Realocação espacial da agricultura no âmbito de microrregiãoes: Ceará, 1990 e 2005.

bitstream/CPATC/19595/1/doc-112.pd

Realocação espacial da cocoicultura nos principais minicípios produtores do estado de Sergipe: 1990, 1995, 2000, 2005.

bitstream/CPATC-2009-09/20706/1/Doc-130.pd

Realocação espacial da agricultura no âmbito de microrregiões: Bahia, 1990 e 2005.

bitstream/CPATC/19594/1/doc-111.pd

Grãos verdes: influência na qualidade dos produtos à base de soja - Série Sementes.

Condições de estresse climático e incidência de grãos verdes. Grãos verdes e seus efeitos sobre a qualidade da soja e de seus produtos derivados. Qualidade do óleo. Qualidade das proteínas.bitstream/item/53614/1/CT90-OL1.pd

Microscopic description for the emergence of collective dissipation in extended quantum systems

Practical implementations of quantum technology are limited by unavoidable effects of decoherence and dissipation. With achieved experimental control for individual atoms and photons, more complex platforms composed by several units can be assembled enabling distinctive forms of dissipation and decoherence, in independent heat baths or collectively into a common bath, with dramatic consequences for the preservation of quantum coherence. The cross-over between these two regimes has been widely attributed in the literature to the system units being farther apart than the bath's correlation length. Starting from a microscopic model of a structured environment (a crystal) sensed by two bosonic probes, here we show the failure of such conceptual relation, and identify the exact physical mechanism underlying this cross-over, displaying a sharp contrast between dephasing and dissipative baths. Depending on the frequency of the system and, crucially, on its orientation with respect to the crystal axes, collective dissipation becomes possible for very large distances between probes, opening new avenues to deal with decoherence in phononic baths