Scalability of GHZ and random-state entanglement in the presence of decoherence
arXiv:0812.4203 · doi:10.1103/PhysRevA.79.032322
Abstract
We derive analytical upper bounds for the entanglement of generalized Greenberger-Horne-Zeilinger states coupled to locally depolarizing and dephasing environments, and for local thermal baths of arbitrary temperature. These bounds apply for any convex quantifier of entanglement, and exponential entanglement decay with the number of constituent particles is found. The bounds are tight for depolarizing and dephasing channels. We also show that randomly generated initial states tend to violate these bounds, and that this discrepancy grows with the number of particles.
arXiv comment9 pages, 3 figures
References in corpus (29)
- Mixed State Entanglement and Quantum Error Correction
- A computable measure of entanglement
- Three qubits can be entangled in two inequivalent ways
- Finite-Time Disentanglement via Spontaneous Emission
- Scalable multi-particle entanglement of trapped ions
- Experimental entanglement of six photons in graph states
- Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
- Towards fault-tolerant quantum computing with trapped ions
- Witnessing multipartite entanglement
- Measures and dynamics of entangled states
- Decoherence and multipartite entanglement
- Aspects of generic entanglement
- Dynamics of quantum entanglement
- Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
- Stability of macroscopic entanglement under decoherence
- Separability and distillability of multiparticle quantum systems
- Disentanglement and Decoherence by Open System Dynamics
- Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
- Scaling laws for the decay of multiqubit entanglement
- Entanglement properties of multipartite entangled states under the influence of decoherence
- Direct measurement of finite-time disentanglement induced by a reservoir
- Robustness of Multi-Party Entanglement
- A Factorization Law for Entanglement Decay
- Multiparticle entanglement under the influence of decoherence
- Experimental observation of an entire family of four-photon entangled states
- Robustness of Highly Entangled Multi-Qubit States Under Decoherence
- The Geometry of Entanglement Sudden Death
- Equilibrium entanglement vanishes at finite temperature
- Entanglement-screening by nonlinear resonances
Cited by in corpus (19)
- Open-System Dynamics of Entanglement
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- Sudden vanishing of spin squeezing under decoherence
- Stable macroscopic quantum superpositions
- Open-system dynamics of graph-state entanglement
- On the discontinuity of the quantum Fisher information for quantum statistical models with parameter dependent rank
- Entanglement Sudden Death in Three Qubit X-States
- Noisy entanglement evolution for graph states
- Robustness of Entanglement as a Resource
- Defeating entanglement sudden death by a single local filtering
- Multipartite quantum nonlocality under local decoherence
- Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics
- Stability of encoded macroscopic quantum superpositions
- Robust multipartite quantum correlations without complex encodings
- Entanglement and communication-reducing properties of noisy N-qubit states
- Detecting nonlocality of noisy multipartite states with the CHSH inequality
- Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
- Universality in open system entanglement dynamics
- Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence