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34

Sep 21, 2013
09/13

by
H. Bernigau; M. J. Kastoryano; J. Eisert

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We provide a rigorous and asymptotically exact expression of the mutual information of translationally invariant free fermionic lattice systems in a Gibbs state. In order to arrive at this result, we introduce a novel framework for computing determinants of Toeplitz operators with smooth symbols, and for treating Toeplitz matrices with system size dependent entries. The asymptotically exact mutual information for a partition of the one-dimensional lattice satisfies an area law, with a prefactor...

Source: http://arxiv.org/abs/1301.5646v1

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29

Sep 20, 2013
09/13

by
M. J. Kastoryano; M. M. Wolf; J. Eisert

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Dissipative engineering constitutes a framework within which quantum information processing protocols are powered by system-environment interaction rather than by unitary dynamics alone. This framework embraces noise as a resource, and consequently, offers a number of advantages compared to one based on unitary dynamics alone, e.g., that the protocols are typically independent of the initial state of the system. However, the time independent nature of this scheme makes it difficult to imagine...

Source: http://arxiv.org/abs/1205.0985v2

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39

Sep 21, 2013
09/13

by
M. J. Kastoryano; F. Reiter; A. S. Sørensen

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We propose a novel scheme for the preparation of a maximally entangled state of two atoms in an optical cavity. Starting from an arbitrary initial state, a singlet state is prepared as the unique fixed point of a dissipative quantum dynamical process. In our scheme, cavity decay is no longer undesirable, but plays an integral part in the dynamics. As a result, we get a qualitative improvement in the scaling of the fidelity with the cavity parameters. Our analysis indicates that dissipative...

Source: http://arxiv.org/abs/1011.1441v1

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1.0

Jun 29, 2018
06/18

by
H. Wilming; M. J. Kastoryano; A. H. Werner; J. Eisert

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A cornerstone of the theory of phase transitions is the observation that many-body systems exhibiting a spontaneous symmetry breaking in the thermodynamic limit generally show extensive fluctuations of an order parameter in large but finite systems. In this work, we introduce the dynamical analogue of such a theory. Specifically, we consider local dissipative dynamics preparing a steady-state of quantum spins on a lattice exhibiting a discrete or continuous symmetry but with extensive...

Topics: Quantum Physics, Other Condensed Matter, Statistical Mechanics, Condensed Matter, Mathematics,...

Source: http://arxiv.org/abs/1602.01108

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45

Jul 19, 2013
07/13

by
K. Temme; M. J. Kastoryano; M. B. Ruskai; M. M. Wolf; F. Verstraete

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We introduce quantum versions of the $\chi^2$-divergence, provide a detailed analysis of their properties, and apply them in the investigation of mixing times of quantum Markov processes. An approach similar to the one presented in [1-3] for classical Markov chains is taken to bound the trace-distance from the steady state of a quantum processes. A strict spectral bound to the convergence rate can be given for time-discrete as well as for time-continuous quantum Markov processes. Furthermore...

Source: http://arxiv.org/abs/1005.2358v2