Memoirs and proceedings of the Manchester Literary & Philosophical Society. : (Manchester memoirs.).

4th series, v. 6, 1892, has title: Memoir of James Prescott Joule ... by Osborne Reynolds.

Quantum dynamics as a physical resource

How useful is a quantum dynamical operation for quantum information processing? Motivated by this question, we investigate several strength measures quantifying the resources intrinsic to a quantum operation. We develop a general theory of such strength measures, based on axiomatic considerations independent of state-based resources. The power of this theory is demonstrated with applications to quantum communication complexity, quantum computational complexity, and entanglement generation by unitary operations.

Quantum states far from the energy eigenstates of any local hamiltonian

What quantum states are possible energy eigenstates of a many-body Hamiltonian? Suppose the Hamiltonian is nontrivial, i.e., not a multiple of the identity, and L local, in the sense of containing interaction terms involving at most L bodies, for some fixed L. We construct quantum states psi which are far away from all the eigenstates E of any nontrivial L-local Hamiltonian, in the sense that parallel topsi-Eparallel to is greater than some constant lower bound, independent of the form of the Hamiltonian.

Practicality of time-optimal two-qubit Hamiltonian simulation

What is the time-optimal way of using a set of control Hamiltonians to obtain a desired interaction? Vidal, Hammerer, and Cirac [Phys. Rev. Lett. 88, 237902 (2002)] have obtained a set of powerful results characterizing the time-optimal simulation of a two-qubit quantum gate using a fixed interaction Hamiltonian and fast local control over the individual qubits. How practically useful are these results? We prove that there are two-qubit Hamiltonians such that time-optimal simulation requires infinitely many steps of evolution, each infinitesimally small, and thus is physically impractical. A procedure is given to determine which two-qubit Hamiltonians have this property, and we show that almost all Hamiltonians do. Finally, we determine some bounds on the penalty that must be paid in the simulation time if the number of steps is fixed at a finite number, and show that the cost in simulation time is not too great.

Effect of naloxone-precipitated morphine withdrawal on c-fos expression in rat corticotropin-releasing hormone neurons in the paraventricular hypothalamus and extended amygdala

Morphine withdrawal is characterized by physical symptoms and a negative affective state. The 41 amino acid polypeptide corticotropin-releasing, hormone (CRH) is hypothesized to mediate, in part, both the negative affective state and the physical withdrawal syndrome. Here, by means of dual-immunohistochemical methodology, we examined the co-expression of the c-Fos protein and CRH following naloxone-precipitated morphine withdrawal. Rats were treated with slow-release morphine 50 mg/kg (subcutaneous, s.c.) or vehicle every 48 It for 5 days, then withdrawn with naloxone 5 mg/kg (s.c.) or saline 48 h after the final morphine injection. Two hours after withdrawal rats were perfused transcardially and their brains were removed and processed for immunohistochemistry. We found that naloxone-precipitated withdrawal of morphine-dependent rats increased c-Fos immunoreactivity (IR) in CRH positive neurons in the paraventricular hypothalamus. Withdrawal of morphine-dependent rats also increased c-Fos-IR in the central amygdala and bed nucleus of the stria terminalis. however these were in CRH negative neurons. (C) 2004 Published by Elsevier Ireland Ltd.

Phosphatidylinositol 3-kinase C2 alpha is essential for ATP-dependent priming of neurosecretory granule exocytosis

Neurotransmitter release and hormonal secretion are highly regulated processes culminating in the calcium-dependent fusion of secretory vesicles with the plasma membrane. Here, we have identified a role for phosphatidylinositol 3-kinase C2 alpha (PI3K-C2 alpha) and its main catalytic product, PtdIns3P, in regulated exocytosis. In neuroendocrine cells, PI3K-C2 alpha is present on a subpopulation of mature secretory granules. Impairment of PI3K-C2 alpha function specifically inhibits the ATP-dependent priming phase of exocytosis. Overexpression of wild-type PI3K-C2 alpha enhanced secretion, whereas transfection of PC12 cells with a catalytically inactive PI3K-C2 alpha mutant or a 2xFYVE domain sequestering PtdIns3P abolished secretion. Based on these results, we propose that production of PtdIns3P by PI3K-C2 alpha is required for acquisition of fusion competence in neurosecretion.

Entanglement measure for rank-2 mixed states

We provide an easily computable formula for a bipartite mixed-state entanglement measure. Our formula can be applied to readily calculate the entanglement for any rank-2 mixed state of a bipartite system. We use this formula to provide a tight upper bound for the entanglement of formation for rank-2 states of a qubit and a qudit. We also outline situations where our formula could be applied to study the entanglement properties of complex quantum systems.

Quantum computing and polynomial equations over the finite field Z(2)

What is the computational power of a quantum computer? We show that determining the output of a quantum computation is equivalent to counting the number of solutions to an easily computed set of polynomials defined over the finite field Z(2). This connection allows simple proofs to be given for two known relationships between quantum and classical complexity classes, namely BQP subset of P-#P and BQP subset of PP.

Dissection of peripheral and central endogenous opioid modulation of systemic interleukin-1 beta responses using c-fos expression in the rat brain

In opiate addicts or patients receiving morphine treatment, it has been reported that the immune system is often compromised. The mechanisms responsible for the adverse effects of opioids on responses to infection are not clear but it is possible that central and/or peripheral opioid receptors may be important. We have utilised an experimental immune challenge model in rats, the systemic administration of the human pro-inflammatory cytokine interleukin-1 beta (IL-1 beta) to study the effects of selectively blocking peripheral opioid receptors only (using naloxone methiodide) or after blocking both central and peripheral opioid receptors (using naloxone). Pre-treatment with naloxone methiodide decreased (15%) IL-1 beta-induced Fos-immunoreactivity (Fos-IR) in medial parvocellular paraventricular nucleus (mPVN) corticotropin-releasing hormone (CRH) neurons but increased responses in the ventrolateral medulla (VLM) C1 (65%) and nucleus tractus solitarius (NTS) A2 (110%) catecholamine cell groups and area postrema (136%). However no effect of blocking peripheral opioid receptors was detected in the central nucleus of the amygdala (CeA) or dorsal bed nucleus of the stria terminalis (BNST). We next determined the effect of blocking both central and peripheral opioid receptors with naloxone and, when compared to the naloxone methiodide pre-treated group, a further 60% decrease in Fos-IR mPVN CRH neurons induced by IL-1 beta was detected, which was attributed to block of central opioid receptors. Similar comparisons also detected decreases in Fos-IR neurons induced by IL-1 beta in the VLM A1, VLM C1 and NTS A2 catecholamine cell groups, area postrema, and parabrachial nucleus. In contrast, pre-treatment with naloxone increased Fos-IR neurons in CeA (98%) and dorsal BNST (72%). These results provide novel evidence that endogenous opioids can influence central neural responses to systemic IL-1 beta and also suggest that the differential patterns of activation may arise because of actions at central and/or peripheral opioid receptors that might be important in regulating behavioural, hypothalamic-pituitary-adrenal axis and sympathetic nervous system responses during an immune challenge. (c) 2005 Elsevier Ltd. All rights reserved.

Localization of immunoreactivity for deleted in colorectal cancer (DCC), the receptor for the guidance factor netrin-1, in ventral tier dopamine projection pathways in adult rodents

DCC (deleted in colorectal cancer)-the receptor of the netrin-1 neuronal guidance factor-is expressed and is active in the central nervous system (CNS) during development, but is down-regulated during maturation. The substantia nigra contains the highest level of netrin-1 mRNA in the adult rodent brain, and corresponding mRNA for DCC has also been detected in this region but has not been localized to any particular neuron type. In this study, an antibody raised against DCC was used to determine if the protein was expressed by adult dopamine neurons, and identify their distribution and projections. Significant DCC-immunoreactivity was detected in midbrain, where it was localized to ventrally displaced A9 dopamine neurons in the substantia nigra, and ventromedial A10 dopamine neurons predominantly situated in and around the interfascicular nucleus. Strong immunoreactivity was not detected in dopamine neurons found elsewhere, or in non-dopamine-containing neurons in the midbrain. Terminal fields selectively labeled with DCC antibody corresponded to known nigrostriatal projections to the dorsolateral striatal patches and dorsomedial shell of the accumbens, and were also detected in prefrontal cortex, septum, lateral habenular and ventral pallidum. The unique distribution of DCC-immunoreactivity in adult ventral midbrain dopamine neurons suggests that netrin-1/DCC signaling could function in plasticity and remodeling previously identified in dopamine projection pathways. In particular, a recent report that DCC is regulated through the ubiquitin-proteosome system via Siah/Sina proteins, is consistent with a potential involvement in genetic and sporadic forms of Parkinson's disease. (c) 2005 IBRO. Published by Elsevier Ltd. All rights reserved.

Phosphoinositide regulation of neuroexocytosis: adding to the complexity

Exocytosis of neurotransmitter containing vesicles supports neuronal communication. The importance of molecular interactions involving specific lipids has become progressively more evident and the lipid composition of both the synaptic vesicle and the pre-synaptic plasma membrane at the active zone has significant functional consequences for neurotransmitter release. Several classes of lipids have been implicated in exocytosis including polyunsaturated fatty acids and phosphoinositides. This minireview will focus on recent developments regarding the role of phosphoinositides in neurosecretion.