Applications in Quantum Theory

Harumichi Nishimura

Abstract The SWAP test is a fundamental tool commonly used in the theory of quantum information and computation while its understanding and applications have been investigated in the literature. This survey focuses on the SWAP test in the studies of quantum complexity theory. We review the basics of the SWAP test, some tests related to it, and their properties, and report their applications in quantum complexity theory.

Richard Healey

The quantum theory of decoherence plays an important role in a pragmatist interpretation of quantum theory. It governs the descriptive content of claims about values of physical magnitudes and offers advice on when to use quantum probabilities as a guide to their truth. The content of a claim is to be understood in terms of its role in inferences. This promises a better treatment of meaning than that of Bohr. Quantum theory models physical systems with no mention of measurement: it is decoherence, not measurement, that licenses application of Born's probability rule. So quantum theory also offers advice on its own application. I show how this works in a simple model of decoherence, and then in applications to both laboratory experiments and natural systems. Applications to quantum field theory and the measurement problem will be discussed elsewhere.

Chen Yang

Quantum dissipation theory and its application to nonlinear spectroscopies by Chen Yang thesis 2001 xiii, 118 leaves : ill. ; 30 cm This thesis focuses on the study on the two most commonly used quantum dissipation theories, the Bloch-Redfield theory…Read more ›