2005/04/30 by Emanuele Ciancio, Paolo Giorda, Paolo Zanardi
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Boson #Class (philosophy) #Computer science #Discrete mathematics #Entanglement witness #Gaussian #Mathematical analysis #Mathematics #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Separable space #Separable state #Set (abstract data type) #Squashed entanglement #Statistical physics #Theoretical physics #Unitary state #quant-ph
paper · pdf · doi:10.1016/j.physleta.2006.01.059
LaTeX 7 pages, 7 figures. Many typos (sorry) fixed
arxiv created 2005/06/01 · openalex publication_date 2006/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A proper choice of subsystems for a system of identical particles e.g., bosons, is provided by second-quantized modes i.e.,creation/annihilation operators. Here we investigate how the entanglement properties of bipartite gaussian states of bosons change when modes are changed by means of unitary, number conserving, Bogolioubov transformations. This set of "virtual" bi-partitions is then finite-dimensionally parametrized and one can quantitatively address relevant questions such as the determination of the minimal and maximal available entanglement. In particular, we show that in the class of bipartite gaussian states there are states which remain separable for every possible modes redefinition, while do not exist states which remain entangled for every possible modes redefinition