2017/05/31 by Spyros Tserkis, Timothy C. Ralph · 79 citations
Computer Science · Physics and Astronomy · #Computer science #Gaussian #Mode (computer interface) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.96.062338
published in Physical Review A 96(6) (American Physical Society) · 8 pages,3 figs; The original submission gave an analytical formula that was claimed to give the entanglement of formation for arbitrary two-mode Gaussian states - this was incorrect. The formula gives a lower bound of EoF which saturates for symmetric states and for states with balanced correlations, and is a good approximation for most other states. This error is corrected in the revised version
arxiv created 2017/08/28 · openalex publication_date 2017/12/29 · arxiv updated 2018/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Entangled two-mode Gaussian states are a key resource for quantum information technologies such as teleportation, quantum cryptography, and quantum computation, so quantification of Gaussian entanglement is an important problem. Entanglement of formation is unanimously considered a proper measure of quantum correlations, but for arbitrary two-mode Gaussian states no analytical form is currently known. In contrast, logarithmic negativity is a measure that is straightforward to calculate and so has been adopted by most researchers, even though it is a less faithful quantifier. In this work, we derive an analytical lower bound for entanglement of formation of generic two-mode Gaussian states, which becomes tight for symmetric states and for states with balanced correlations. We define simple expressions for entanglement of formation in physically relevant situations and use these to illustrate the problematic behavior of logarithmic negativity, which can lead to spurious conclusions.