arXiv:quant-ph/0011053AbstractReferencesReviewsResources
On the fidelity of two pure states
Published 2000-11-13Version 1
The fidelity of two pure states (also known as transition probability) is a symmetric function of two operators, and well-founded operationally as an event probability in a certain preparation-test pair. Motivated by the idea that the fidelity is the continuous quantum extension of the combinatorial equality function, we enquire whether there exists a symmetric operational way of obtaining the fidelity. It is shown that this is impossible. Finally, we discuss the optimal universal approximation by a quantum operation.
Comments: LaTeX2e, 8 pages, submitted to J. Phys. A: Math. and Gen
Journal: J. Phys. A: Math. Gen., vol. 34(35), pp 7095-7101, 2001.
Categories: quant-ph
Keywords: pure states, optimal universal approximation, symmetric operational way, combinatorial equality function, symmetric function
Tags: journal article
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