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2000 HSS/PSA Program 1 - History of Science Society

2000 HSS/PSA Program 1 - History of Science Society

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<strong>PSA</strong> Abstracts<br />

beliefs. The analogous nature <strong>of</strong> perceptual symbols and the spatial nature <strong>of</strong><br />

intraconceptual relations impose new constraints to attribute selection. These<br />

constraints help people with different background beliefs select compatible<br />

attributes, which constitute a common “platform” for taxonomy comparison.<br />

Wayne Christensen University <strong>of</strong> Newcastle<br />

C.␣ A. Hooker University <strong>of</strong> Newcastle<br />

Self-directed anticipative learning processes in science<br />

A major problem facing current philosophy <strong>of</strong> science is how to integrate<br />

accounts <strong>of</strong> individual cognition and social processes into a cognitive theory<br />

<strong>of</strong> science. However an interactivist-constructivist (I-C) approach to cognition<br />

based in organised processes casts light on these problems by highlighting the<br />

role <strong>of</strong> interaction in the construction and modification <strong>of</strong> scientific research.<br />

This paper develops some <strong>of</strong> the implications <strong>of</strong> I-C for understanding the<br />

scientific process by extending to science an original, naturally situated<br />

cognitive learning model, self-directed anticipative learning.<br />

210<br />

Rob Clifton University <strong>of</strong> Pittsburgh<br />

Nonlocality and Entanglement in Quantum Information Theory<br />

It is a widely held belief that the key to quantum enhancements <strong>of</strong> classical<br />

computation power lies in the availability <strong>of</strong> entangled states. And one can<br />

hardly doubt that entanglement and/or non-locality is an important resource<br />

in quantum information processing, as illustrated by quantum teleportation<br />

and dense coding. It is not surprising, then, that physicists in recent years have<br />

been led to a far deeper understanding <strong>of</strong> the nature <strong>of</strong> entanglement. The<br />

central foundational problems that remain involve characterizing, in the case<br />

<strong>of</strong> a mixed quantum state (representable only by a density operator) “how<br />

entangled” the state is and “how nonlocal” it is. For example, while there is a<br />

uniquely natural measure <strong>of</strong> entanglement for pure states, based on von<br />

Neumann entropy, there are a number <strong>of</strong> apparently distinct yet useful measures<br />

for mixed entangled states. Moreover, there are mixed entangled states that<br />

are ‘bound entangled’, i.e., no pure entanglement (in the form <strong>of</strong> singlet states)<br />

can be distilled from them. At a more fundamental level, while every pure<br />

entangled state dictates nonlocal Bell correlations (violates some Bell<br />

inequality), mixed entangled states need not; yet, perhaps strangely, such “Bell<br />

insensitive” states can still be used to teleport with a delity better than any<br />

possible classical implementation! Bell-correlated states must necessarily be<br />

entangled. However, there is no known characterization <strong>of</strong> the Bell-correlated<br />

mixed states amongst those that are entangled, beyond the simplest case <strong>of</strong> a

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