Abstract
We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statistical moments. We also show how such a formula can be written in terms of symplectic invariants and used to derive closed forms for a variety of basic quantities and tools, such as the Bures metric, the quantum Fisher information and various fidelity-based bounds. Our result can be used to extend the study of continuous-variable protocols, such as quantum teleportation and cloning, beyond the current one-mode or two-mode analyses, and paves the way to solve general problems in quantum metrology and quantum hypothesis testing with arbitrary multimode Gaussian resources.
| Original language | English |
|---|---|
| Article number | 260501 |
| Journal | Physical Review Letters |
| Volume | 115 |
| DOIs | |
| Publication status | Published - 22 Dec 2015 |
Bibliographical note
Main text (4 pages) plus AppendicesKeywords
- quant-ph
- cond-mat.other
- math-ph
- math.MP
- physics.optics
