Accessible quantification of multiparticle entanglement

• Published in: arXiv.org
• Main Authors: Cianciaruso, Marco, Bromley, Thomas R, Adesso, Gerardo
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 21.10.2016
• Subjects: Cosmology; Data processing; Feasibility studies; Lower bounds; Mathematics - Mathematical Physics; Optimization; Physics - High Energy Physics - Theory; Physics - Mathematical Physics; Physics - Optics; Physics - Quantum Physics; Physics - Statistical Mechanics; Quantum computing; Quantum entanglement; Quantum optics; Quantum phenomena; Quantum theory; Qubits (quantum computing)
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1507.01600

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology, and life sciences. For arbitrary multiparticle systems, entanglement quantification typically involves nontrivial optimisation problems, and may require demanding tomographical techniques. Here we develop an experimentally feasible approach to the evaluation of geometric measures of multiparticle entanglement. Our approach provides analytical results for particular classes of mixed states of N qubits, and computable lower bounds to global, partial, or genuine multiparticle entanglement of any general state. For global and partial entanglement, useful bounds are obtained with minimum effort, requiring local measurements in just three settings for any N. For genuine entanglement, a number of measurements scaling linearly with N is required. We demonstrate the power of our approach to estimate and quantify different types of multiparticle entanglement in a variety of N-qubit states useful for quantum information processing and recently engineered in laboratories with quantum optics and trapped ion setups.