The Distance Between Classical and Quantum Systems

Details The Distance Between Classical and Quantum Systems The Distance Between Classical and Quantum Systems

2004-11-10

arxiv.org/abs/quant-ph/0411070v1

Physics

Quantum Physics

15 pages, 2 figures

Scientific paper

10.1007/s10701-005-4569-2

In a recent paper, a "distance" function, \cal D, was defined which measures the distance between pure classical and quantum systems. In this work, we present a new definition of a "distance", D, which measures the distance between either pure or impure classical and quantum states. We also compare the new distance formula with the previous formula, when the latter is applicable. To illustrate these distances, we have used 2 \times 2 matrix examples and 2-dimensional vectors for simplicity and clarity. Several specific examples are calculated.

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