Probability density function characterization of multipartite entanglement

Abstract

We propose a method to characterize and quantify multipartite entanglement for pure states. The method hinges upon the study of the probability density function of bipartite entanglement and is tested on an ensemble of qubits in a variety of situations. This characterization is also compared to several measures of multipartite entanglement.

7 pages, 2 figures; published version; title changed; further explanations and comparison with several measures of multipartite entanglement added

References in corpus (35)

• Mixed State Entanglement and Quantum Error Correction
• Three qubits can be entangled in two inequivalent ways
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Persistent entanglement in arrays of interacting particles
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Global entanglement in multiparticle systems
• Entanglement and the Phase Transition in Single Mode Superradiance
• Entanglement versus Correlations in Spin Systems
• Characterizing Entanglement
• Induced measures in the space of mixed quantum states
• Universality of Entropy Scaling in 1D Gap-less Models
• Aspects of generic entanglement
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Entanglement in a second order quantum phase transition
• A potential multipartide entanglement measure
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
• Entanglement, quantum phase transition and scaling in XXZ chain
• Studying quantum spin systems through entanglement estimators
• Testing statistical bounds on entanglement using quantum chaos
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Entangling power of the quantum baker's map
• Entanglement and correlation in anisotropic quantum spin systems
• Entanglement versus chaos in disordered spin chains
• Macroscopic entanglement jumps in model spin systems
• Schmidt Analysis of Pure-State Entanglement
• Entanglement Across a Transition to Quantum Chaos
• Bounds on entanglement in qudit subsystems
• Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
• Interference and entanglement: an intrinsic approach
• Dynamics of entanglement in quantum computers with imperfections
• Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
• A bipartite class of entanglement monotones for N-qubit pure states

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• Multi-Qubit Systems: Highly Entangled States and Entanglement Distribution
• Statistical distribution of quantum entanglement for a random bipartite state
• Hierarchies of Geometric Entanglement
• Multipartite entangled states in particle mixing
• Distribution of bipartite entanglement for random pure states
• Quantum teleportation with identical particles
• A Brief Overview of Bipartite and Multipartite Entanglement Measures
• Entanglement of two blocks of spins in the critical Ising model
• Two-spin entanglement distribution near factorized states
• Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
• Flavor entanglement in neutrino oscillations in the wave packet description
• Multipartite Entanglement and Frustration
• Optimal two-qubit gate for generation of random bipartite entanglement
• Parameters of Pseudo-Random Quantum Circuits
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Entanglement of three-qubit random pure states
• Classical Statistical Mechanics Approach to Multipartite Entanglement
• Reversible and irreversible dynamics of a qubit interacting with a small environment
• Bound entanglement in the XY model
• Photon exchange and correlations transfer in atom-atom entanglement dynamics
• Global Quantum Correlation in the Ising model
• Statistical mechanics of multipartite entanglement
• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• Entanglement and magnetic order
• Gaussian maximally multipartite entangled states
• The classification of multipartite quantum correlation
• Characterizing and measuring multipartite Entanglement
• Phase-space characterization of complexity in quantum many-body dynamics
• State complexity and quantum computation
• Multipartite entanglement characterization of a quantum phase transition
• Forbidden regimes in the distribution of bipartite quantum correlations due to multiparty entanglement
• Compatibility conditions from multipartite entanglement measures
• Robust and efficient generator of almost maximal multipartite entanglement
• Quantum Structures: A View of the Quantum World
• Polarized ensembles of random pure states
• Multipartite entanglement in spin chains and the Hyperdeterminant
• Multi-partite entanglement detection with non symmetric probing
• Mode structure reconstruction by detected and undetected light
• Generation of Pseudo-Random Quantum States on Actual Quantum Processors
• A large-N approximated field theory for multipartite entanglement
• Maximal Entanglement: Applications in Quantum Information and Particle Physics
• Bipartite entanglement of localized separated systems