Open-system dynamics of graph-state entanglement

Abstract

We consider graph states of arbitrary number of particles undergoing generic decoherence. We present methods to obtain lower and upper bounds for the system's entanglement in terms of that of considerably smaller subsystems. For an important class of noisy channels, namely the Pauli maps, these bounds coincide and thus provide the exact analytical expression for the entanglement evolution. All the results apply also to (mixed) graph-diagonal states, and hold true for any convex entanglement monotone. Since any state can be locally depolarized to some graph-diagonal state, our method provides a lower bound for the entanglement decay of any arbitrary state. Finally, this formalism also allows for the direct identification of the robustness under size scaling of graph states in the presence of decoherence, merely by inspection of their connectivities.

4 pages, 2 figs - accepted by PRL

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Cited by in corpus (31)

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• Macroscopic quantum states: measures, fragility and implementations
• Noisy entanglement evolution for graph states
• Robustness of Entanglement as a Resource
• Noisy One-Way Quantum Computations: The Role of Correlations
• Experimental investigation of enviroment--induced entanglement using an all--optical setup
• Time-invariant entanglement and sudden death of nonlocality for multipartite systems under collective dephasing
• Complete characterization of qubit masking
• Gapped Two-Body Hamiltonian for continuous-variable quantum computation
• Multipartite quantum nonlocality under local decoherence
• Dynamics of genuine multipartite entanglement under local non-Markovian dephasing
• Multiparticle entanglement in graph-diagonal states: Necessary and sufficient conditions for four qubits
• Robustness of multiparticle entanglement: specific entanglement classes and random states
• Impossibility of masking a set of quantum states of nonzero measure
• Macroscopic bound entanglement in thermal graph states
• Superoperator Analysis of Entanglement in a Four-Qubit Cluster State
• Sudden change in dynamics of genuine multipartite entanglement of cavity-reservoir qubits
• Detecting nonlocality of noisy multipartite states with the CHSH inequality
• Estimating localizable entanglement from witnesses
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Linear-optical simulation of the cooling of a cluster-state Hamiltonian system
• Highly-efficient estimation of entanglement measures for large experimentally created graph states via simple measurements
• Graph state basis for Pauli Channels
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• Genuine entanglement under squeezed generalized amplitude damping channels with memory
• Localizing genuine multiparty entanglement in noisy stabilizer states
• A solvable model for graph state decoherence dynamics
• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Enhancing entanglement and total correlations dynamics via local unitaries
• Tensor Networks for Entanglement Evolution
• Sudden change of genuine multipartite entanglement in non-Markovian dynamics