88 research outputs found

    A smooth entropy approach to quantum hypothesis testing and the classical capacity of quantum channels

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    We use the smooth entropy approach to treat the problems of binary quantum hypothesis testing and the transmission of classical information through a quantum channel. We provide lower and upper bounds on the optimal type II error of quantum hypothesis testing in terms of the smooth max-relative entropy of the two states representing the two hypotheses. Using then a relative entropy version of the Quantum Asymptotic Equipartition Property (QAEP), we can recover the strong converse rate of the i.i.d. hypothesis testing problem in the asymptotics. On the other hand, combining Stein's lemma with our bounds, we obtain a stronger (\ep-independent) version of the relative entropy-QAEP. Similarly, we provide bounds on the one-shot \ep-error classical capacity of a quantum channel in terms of a smooth max-relative entropy variant of its Holevo capacity. Using these bounds and the \ep-independent version of the relative entropy-QAEP, we can recover both the Holevo-Schumacher-Westmoreland theorem about the optimal direct rate of a memoryless quantum channel with product state encoding, as well as its strong converse counterpart.Comment: v4: Title changed, improved bounds, both direct and strong converse rates are covered, a new Discussion section added. 20 page

    Hypothesis testing for Gaussian states on bosonic lattices

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    The asymptotic state discrimination problem with simple hypotheses is considered for a cubic lattice of bosons. A complete solution is provided for the problems of the Chernoff and the Hoeffding bounds and Stein's lemma in the case when both hypotheses are gauge-invariant Gaussian states with translation-invariant quasi-free parts.Comment: 22 pages, submitted versio

    Consultants as discreet corporate change agents for sustainability: Transforming organizations from the outside-in

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    Despite their central role in the construction and development of the market for virtues as well as in the design, implementation, and evaluation of corporate sustainability strategies and governmental sustainability policies, sustainability consultants remain at best “hidden” corporate change agents. In this paper, we bring sustainability consultants back to the fore to account for how these actors discreetly regulate and shape contemporary sustainability transformations from the outside-in. We do so first by unpacking various roles of consultants as engineers, market builders, power vehicles, boundary workers, issue translators, and soft regulators; then we conceptualize how, through these roles, they contribute to empowering, legitimizing but also potentially supplanting and undermining the activities of corporate change agents operating inside corporations. We finally propose some research orientations for studying further the role of sustainability consultants in corporate transformations towards sustainability

    Relation between the Dynamics of the Reduced Purity and Correlations

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    A general property of the relation between the dynamics of the reduced purity and correlations is investigated in quantum mechanical systems. We show that a non-zero time-derivative of the reduced purity of a system implies the existence of non-zero correlations with its environment under any unbounded Hamiltonians with finite variance. This shows the role of local dynamical information on the correlations, as well as the role of correlations in the mechanism of purity change.Comment: 7 page

    Stationary quantum source coding

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    In this paper the quantum source coding theorem is obtained for a completely ergodic source. This results extends Shannon's classical theorem as well as Schumacher's quantum noiseless coding theorem for memoryless sources. The control of the memory effects requires earlier results of Hiai and Petz on high probability subspaces.Comment: 8 page
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