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    The structure of degradable quantum channels

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    Degradable quantum channels are among the only channels whose quantum and private classical capacities are known. As such, determining the structure of these channels is a pressing open question in quantum information theory. We give a comprehensive review of what is currently known about the structure of degradable quantum channels, including a number of new results as well as alternate proofs of some known results. In the case of qubits, we provide a complete characterization of all degradable channels with two dimensional output, give a new proof that a qubit channel with two Kraus operators is either degradable or anti-degradable and present a complete description of anti-degradable unital qubit channels with a new proof. For higher output dimensions we explore the relationship between the output and environment dimensions (dBd_B and dEd_E respectively) of degradable channels. For several broad classes of channels we show that they can be modeled with a environment that is "small" in the sense dE≀dBd_E \leq d_B. Perhaps surprisingly, we also present examples of degradable channels with ``large'' environments, in the sense that the minimal dimension dE>dBd_E > d_B. Indeed, one can have dE>14dB2d_E > \tfrac{1}{4} d_B^2. In the case of channels with diagonal Kraus operators, we describe the subclass which are complements of entanglement breaking channels. We also obtain a number of results for channels in the convex hull of conjugations with generalized Pauli matrices. However, a number of open questions remain about these channels and the more general case of random unitary channels.Comment: 42 pages, 3 figures, Web and paper abstract differ; (v2 contains only minor typo corrections

    Having a Conversation About Health Care Wishes and Goals in Vermont

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    Research has shown that people think talking with family and friends about end-of-life care is important, but they do not actually have this conversation. The majority of adults do not have any form of advance care planning in place. In the state of Vermont if you are 18 years of age or older there is no default person to make decisions for you (such as a spouse or next of kin) in the event that you would be unable to do so, which can result in a complicated ethical dilemma. The goal of this project is to improve conversation rates between patients and their friends and families about their health care wishes and goals.https://scholarworks.uvm.edu/fmclerk/1347/thumbnail.jp

    Presumptuous aim attribution, conformity, and the ethics of artificial social cognition

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    Imagine you are casually browsing an online bookstore, looking for an interesting novel. Suppose the store predicts you will want to buy a particular novel: the one most chosen by people of your same age, gender, location, and occupational status. The store recommends the book, it appeals to you, and so you choose it. Central to this scenario is an automated prediction of what you desire. This article raises moral concerns about such predictions. More generally, this article examines the ethics of artificial social cognition—the ethical dimensions of attribution of mental states to humans by artificial systems. The focus is presumptuous aim attributions, which are defined here as aim attributions based crucially on the premise that the person in question will have aims like superficially similar people. Several everyday examples demonstrate that this sort of presumptuousness is already a familiar moral concern. The scope of this moral concern is extended by new technologies. In particular, recommender systems based on collaborative filtering are now commonly used to automatically recommend products and information to humans. Examination of these systems demonstrates that they naturally attribute aims presumptuously. This article presents two reservations about the widespread adoption of such systems. First, the severity of our antecedent moral concern about presumptuousness increases when aim attribution processes are automated and accelerated. Second, a foreseeable consequence of reliance on these systems is an unwarranted inducement of interpersonal conformity

    Unethical consumers: Deshopping behaviour using the qualitative analysis of theory of planned behaviour and accompanied (de)shopping

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    Purpose Previous research indicates that deshopping is a prevalent and growing consumer behaviour. This paper examines deshopping from a consumer perspective, and applies the Theory of Planned Behaviour (TPB) to demonstrate how this behaviour can be managed and prevented. An accompanied (de)shop is also conducted. This paper also places deshopping within a legal and ethical context, in relation to the established literature in this field. Methodology approach This paper tests the TPB variables in a qualitative way by conducting in-depth interviews with deshoppers, who had completed a quantitative questionnaire. The results further support and enhance the quantitative TPB results collected previously with 535 consumers. An accompanied (de)shop is also reviewed, as this qualitative research technique, enables an enhanced understanding and evidence of the deshopping process, which has not been demonstrated previously. The findings demonstrate support for these qualitative research tool, which enable a deeper understanding of the deshopping process and its management. Findings The findings demonstrate important use of the TPB as a qualitative research technique. The model is also expanded and redesigned by adding additional variables as a result of this research. The accompanied (de)shop findings demonstrate support for this qualitative research tool, which also enables a deeper understanding of the deshopping process and its management. Practical implications The research concludes with the implications of deshopping for the industry and makes recommendations as how to reduce deshopping, as well as recommending the qualitative research techniques utilised to future researchers. Originality This paper has identified the key variables that influence deshopping, and demonstrates that procedures can be designed to reduce this behaviour by manipulating the TPB variables. This paper has also added additional variables to the TPB model, which have proved to be influential in deshopping behaviour, thereby developing theoretical knowledge of TPB. The use of the TPB has also provided a theoretical underpinning to utilising a consumer education program to prevent problem behaviours. This research demonstrates that this could alter deshoppers’ attitudes and subjective norms. This is also the first paper to place deshopping in a legal framework which highlights the legal loopholes in a retailer’s returns policy and the implications of new directives which will influence retailer’s abilities to refuse a return. This paper is also the first to explore deshopping within an ethical framework that has created new knowledge on the unethical consumer in relation to deshopping behaviour. This study also incorporates an accompanied (de)shop methodology; this form of research has never been undertaken in relation to deshopping activity and has generated completely new knowledge of what is happening when the actual behaviour is taking place
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