A limit formula for the quantum fidelity
Quantum Physics
2014-10-13 v2 Other Condensed Matter
Mathematical Physics
math.MP
Optics
Abstract
Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. Here we propose a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an application, we apply this formula to the case of multimode Gaussian states, achieving a simple expression in terms of their first and second-order statistical moments.
Cite
@article{arxiv.1204.2473,
title = {A limit formula for the quantum fidelity},
author = {Gaetana Spedalieri and Christian Weedbrook and Stefano Pirandola},
journal= {arXiv preprint arXiv:1204.2473},
year = {2014}
}
Comments
Error corrected in the proof of Theorem 1. Results remain valid