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    NMR quantum computation with indirectly coupled gates

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    An NMR realization of a two-qubit quantum gate which processes quantum information indirectly via couplings to a spectator qubit is presented in the context of the Deutsch-Jozsa algorithm. This enables a successful comprehensive NMR implementation of the Deutsch-Jozsa algorithm for functions with three argument bits and demonstrates a technique essential for multi-qubit quantum computation.Comment: 9 pages, 2 figures. 10 additional figures illustrating output spectr

    VEGF is indirectly associated with NO production

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    Background? Increased levels of vascular endothelial growth factor (VEGF) have been observed in patients with metabolic syndrome (MetS). Nitric oxide (NO) formation is reduced in MetS, but its relationship to VEGF production remains poorly defined. We evaluated the association between VEGF/NO synthesis and insulin sensitivity in obese subjects and investigated the secretory response of VEGF to an acute elevation of glucose.Materials and methods? Seven healthy normal-weight subjects, seven obese subjects without MetS and seven obese subjects with MetS were recruited. Anthropometry, body composition and cardiometabolic functions (blood pressure, glucose, insulin, triglycerides, total cholesterol, HDL-C and VEGF) were measured, and a novel stable isotope method was used to assess in vivo rates of NO production. A frequent sampling intravenous glucose tolerance test was performed to study the dynamics of VEGF release.Results? Fasting VEGF levels were significantly higher in the two obese groups compared to the control group (P for trend = 0·02), but the difference was not significant after adjustment for age. Vascular endothelial growth factor levels were associated with systolic blood pressure (? = 0·54; P = 0·01) and NO production (? = ?0·44; P = 0·04). Vascular endothelial growth factor levels increased in response to acute hyperglycaemia in normal-weight and obese subjects (P < 0·001).Conclusions? Vascular endothelial growth factor levels rapidly increase during hyperglycaemia and are inversely related to NO production at steady state. The potential link between the acute secretion of VEGF and atherosclerotic risk in subjects with poorly controlled glycaemia as well as the potential of lowering elevated VEGF levels by increasing NO production and/or availability warrants further investigation

    Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain

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    We give analytical solutions for the time-optimal synthesis of entangling gates between indirectly coupled qubits 1 and 3 in a linear spin chain of three qubits subject to an Ising Hamiltonian interaction with equal coupling JJ plus a local magnetic field acting on the intermediate qubit. The energy available is fixed, but we relax the standard assumption of instantaneous unitary operations acting on single qubits. The time required for performing an entangling gate which is equivalent, modulo local unitary operations, to the CNOT(1,3)\mathrm{CNOT}(1, 3) between the indirectly coupled qubits 1 and 3 is T=3/2J1T=\sqrt{3/2} J^{-1}, i.e. faster than a previous estimate based on a similar Hamiltonian and the assumption of local unitaries with zero time cost. Furthermore, performing a simple Walsh-Hadamard rotation in the Hlibert space of qubit 3 shows that the time-optimal synthesis of the CNOT±(1,3)\mathrm{CNOT}^{\pm}(1, 3) (which acts as the identity when the control qubit 1 is in the state 0\ket{0}, while if the control qubit is in the state 1\ket{1} the target qubit 3 is flipped as ±\ket{\pm}\rightarrow \ket{\mp}) also requires the same time TT.Comment: 9 pages; minor modification

    Indirectly Free Actions, Libertarianism, and Resultant Moral Luck

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    Martin Luther affirms his theological position by saying “Here I stand. I can do no other.” Supposing that Luther’s claim is true, he lacks alternative possibilities at the moment of choice. Even so, many libertarians have the intuition that he is morally responsible for his action. One way to make sense of this intuition is to assert that Luther’s action is indirectly free, because his action inherits its freedom and moral responsibility from earlier actions when he had alternative possibilities and those earlier directly free actions formed him into the kind of person who must refrain from recanting. Surprisingly, libertarians have not developed a full account of indirectly free actions. I provide a more developed account. First, I explain the metaphysical nature of indirectly free actions such as Luther’s. Second, I examine the kind of metaphysical and epistemic connections that must occur between past directly free actions and the indirectly free action. Third, I argue that an attractive way to understand the kind of derivative moral responsibility at issue involves affirming the existence of resultant moral luck

    Ownership and control in a competitive industry

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    We study a differentiated product market in which an investor initially owns a controlling stake in one of two competing firms and may acquire a non-controlling or a controlling stake in a competitor, either directly using her own assets, or indirectly via the controlled firm. While industry profits are maximized within a symmetric two product monopoly, the investor attains this only in exceptional cases. Instead, she sometimes acquires a noncontrolling stake. Or she invests asymmetrically rather than pursuing a full takeover if she acquires a controlling one. Generally, she invests indirectly if she only wants to affect the product market outcome, and directly if acquiring shares is profitable per se. --differentiated products,separation of ownership and control,private benefits of control
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