Structural change in multipartite entanglement sharing: a random matrix approach

Abstract

We study the typical entanglement properties of a system comprising two independent qubit environments interacting via a shuttling ancilla. The initial preparation of the environments is modeled using random-matrix techniques. The entanglement measure used in our study is then averaged over many histories of randomly prepared environmental states. Under a Heisenberg interaction model, the average entanglement between the ancilla and one of the environments remains constant, regardless of the preparation of the latter and the details of the interaction. We also show that, upon suitable kinematic and dynamical changes in the ancilla-environment subsystems, the entanglement-sharing structure undergoes abrupt modifications associated with a change in the multipartite entanglement class of the overall system's state. These results are invariant with respect to the randomized initial state of the environments.

10 pages, RevTeX4 (Minor typo's corrected. Closer to published version)

References in corpus (11)

• Entanglement detection
• A classification of entanglement in three-qubit systems
• Superdense coding of quantum states
• Maximally multipartite entangled states
• Driven Spin Systems as Quantum Thermodynamic Machines: Fundamental Limits
• Decoherence of two qubit systems: A random matrix description
• Relaxation due to random collisions with a many-qudit environment
• Reversible and irreversible dynamics of a qubit interacting with a small environment
• Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
• A Bell pair in a generic random matrix environment
• Decoherence of an $n$-qubit quantum memory

Cited by in corpus (7)

• Quantum collision models: open system dynamics from repeated interactions
• Landauer's principle in multipartite open quantum system dynamics
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Temperature effects on quantum non-Markovianity via collision models
• Class of exact memory-kernel master equations
• Random graph states, maximal flow and Fuss-Catalan distributions
• Robust multipartite entanglement generation via a collision model