Artículo
Transfer matrices and circuit representation for the semiclassical traces of the baker map
Fecha de publicación:
10/2010
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics
ISSN:
1063-651X
e-ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Because of a formal equivalence with the partition function of an Ising chain, the semiclassical traces of the quantum baker map can be calculated using the transfer-matrix method. We analyze the transfer matrices associated with the baker map and the symmetry-reflected baker map (the latter happens to be unitary but the former is not). In both cases simple quantum-circuit representations are obtained, which exhibit the typical structure of qubit quantum bakers. In the case of the baker map it is shown that nonunitarity is restricted to a one-qubit operator (close to a Hadamard gate for some parameter values). In a suitable continuum limit we recover the already known infinite-dimensional transfer operator. We devise truncation schemes allowing the calculation of long-time traces in regimes where the direct summation of Gutzwiller's formula is impossible. Some aspects of the long-time divergence of the semiclassical traces are also discussed.
Palabras clave:
Semiclassical methods
,
Quantum information
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Articulos(SEDE CENTRAL)
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Articulos de SEDE CENTRAL
Citación
Carlo, Gabriel Gustavo; Vallejos, Raúl O.; Abreu, Rômulo F.; Transfer matrices and circuit representation for the semiclassical traces of the baker map; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 82; 4; 10-2010; 462201-462208
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