On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states

Motivated by the recent discovery of a quantum Chernoff theorem for asymptotic state discrimination, we investigate the distinguishability of two bipartite mixed states under the constraint of local operations and classical communication (LOCC), in the limit of many copies. While for two pure states a result of Walgate et al. shows that LOCC is just as powerful as global measurements, data hiding states (DiVincenzo et al.) show that locality can impose severe restrictions on the distinguishability of even orthogonal states. Here we determine the optimal error probability and measurement to discriminate many copies of particular data hiding states (extremal d x d Werner states) by a linear programming approach. Surprisingly, the single-copy optimal measurement remains optimal for n copies, in the sense that the best strategy is measuring each copy separately, followed by a simple classical decision rule. We also put a lower bound on the bias with which states can be distinguished by separable operations.Comment: 11 pages; v2: Journal version; Minor errors fixed in Section I

The Impact of Foreclosures on Neighboring Housing Sales

Housing foreclosures likely have little neighborhood impacts if there are few foreclosures in a neighborhood and the foreclosed housing can resell quickly. However, when there are both many foreclosures and a sluggish housing market, foreclosures can lead to neighborhood destabilization, which should cause house prices to further fall. This paper measures the impact of foreclosures on housing sales using a unique dataset from St. Louis County, Missouri. Results show an expected decline the sales price of neighboring sales but the marginal impact of foreclosures seems to decline with an increase in the number of foreclosures. These results are robust to a variety of neighborhood control variables and spatial econometric techniques.

Naïve Beliefs About the Natural World in a Case of Childhood Onset Amnesia

The individual profiled here (M.S.) suffered an episode of severe oxygen deprivation (anoxia) at the age of eight, damaging memory relevant structures in the mid-temporal lobes, including the hippocampus bilaterally. The resulting anterograde amnesia was characterized by profound deficits in autobiographical memory, but also a compromised ability to acquire new facts and information (semantic memory), resulting in the formation of idiosyncratic and naïve beliefs about the natural world that have persisted into his adult years. This article presents an interview with M.S. in which many of these idiosyncratic beliefs are detailed, and argues that they can be broadly viewed as the interaction of; 1) intact frontal lobe functioning that supports the application of rational analysis to his lived experience, and 2) an impoverished factual knowledge base upon which to construct sophisticated and evidence-based models of his lived experience and of natural world processes

Interview transcript: Governor William Winter

William F. Winter (1923-2020) served as 58th governor of Mississippi from 1980 to 1984, having also served as the lieutenant governor, state treasurer, state tax collector, and in the Mississippi House of Representatives. As governor, he supported civil service protections for state employees, reformed the judicial appointment process, removed racial considerations from state hiring process, and dealt with continuous budget deficits. In the 1982, he signed the Education Reform Act, increasing spending on public education and established public kindergartens. Later in his life he taught at the Harvard Institute of Politics, co-chaired Bill Clinton\u27s presidential campaigns in the 1992 and 1996 elections, co-chaired Clinton\u27s Advisory Board on Race, supported altering the flag of Mississippi, and was awarded the Profile in Courage Award before his death in 2020

Zero-error channel capacity and simulation assisted by non-local correlations

Shannon's theory of zero-error communication is re-examined in the broader setting of using one classical channel to simulate another exactly, and in the presence of various resources that are all classes of non-signalling correlations: Shared randomness, shared entanglement and arbitrary non-signalling correlations. Specifically, when the channel being simulated is noiseless, this reduces to the zero-error capacity of the channel, assisted by the various classes of non-signalling correlations. When the resource channel is noiseless, it results in the "reverse" problem of simulating a noisy channel exactly by a noiseless one, assisted by correlations. In both cases, 'one-shot' separations between the power of the different assisting correlations are exhibited. The most striking result of this kind is that entanglement can assist in zero-error communication, in stark contrast to the standard setting of communicaton with asymptotically vanishing error in which entanglement does not help at all. In the asymptotic case, shared randomness is shown to be just as powerful as arbitrary non-signalling correlations for noisy channel simulation, which is not true for the asymptotic zero-error capacities. For assistance by arbitrary non-signalling correlations, linear programming formulas for capacity and simulation are derived, the former being equal (for channels with non-zero unassisted capacity) to the feedback-assisted zero-error capacity originally derived by Shannon to upper bound the unassisted zero-error capacity. Finally, a kind of reversibility between non-signalling-assisted capacity and simulation is observed, mirroring the famous "reverse Shannon theorem".Comment: 18 pages, 1 figure. Small changes to text in v2. Removed an unnecessarily strong requirement in the premise of Theorem 1

Measuring the Impact of a Community Revitalization Program: The Case of Beyond Housing in Pagedale, Missouri

The paper examines the impact of a comprehensive housing development program initiated by a nonprofit organization working in a small municipality in St. Louis County, Missouri. The development program includes rental housing, for sale housing and repair grants to existing residents. The analysis serves both as opportunity to test hedonic price modeling on the housing work and as an examination of the applicability of such techniques in evaluation of local community development efforts. The analysis finds evidence of price differential comparing municipal sales to sales within a comparable, larger geographic area, with a negative differential switching to positive over the time frame studied. However, sample sizes and other methodological issues make it difficult to ascertain a direct spill-over effect of investments for any of the three investment types within a 150\u27 area around project sites

Letter Approving of Colvard\u27s decision to send the Basketball team to the NCAA Tournament.

Letter from William F. Winter, State Tax Collector of Mississippi, approving of Colvard\u27s decision to allow the Basketball team to play in the NCAA Tournament.https://scholarsjunction.msstate.edu/ua-msu-loyola-1963/1005/thumbnail.jp