Stationary and uniform entanglement distribution in qubit networks with quasi-local dissipation
arXiv:1203.0993 · doi:10.1103/PhysRevA.85.042320
Abstract
We consider qubit networks where adjacent qubits besides interacting via XY-coupling, also dissipate into the same environment. The steady states are computed exactly for all network sizes and topologies, showing that they are always symmetric under permutation of network sites, leading to a uniform distribution of the stationary entanglement across the network. The maximum entanglement between two arbitrary qubits is shown to depend only on the total number of qubits in the network, and scales linearly with it. A possible physical realization by means of an array of doped cavities is discussed for the case of a linear chain.
arXiv comment6 pages, comments welcome. v2: published version with typos corrected and updated bibliography
References in corpus (28)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Preparation of Entangled States by Quantum Markov Processes
- Quantum entanglement in photosynthetic light harvesting complexes
- Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Creation of Entanglement by Interaction with a Common Heat Bath
- Environment Induced Entanglement in Markovian Dissipative Dynamics
- Dissipative preparation of entanglement in optical cavities
- Sustained Quantum Coherence and Entanglement in the Avian Compass
- Entangled light from white noise
- Entanglement and entangling power of the dynamics in light-harvesting complexes
- Quantum control and entanglement in a chemical compass
- Unconditional preparation of entanglement between atoms in cascaded optical cavities
- Steady state entanglement in open and noisy quantum systems at high temperature
- Entangling two unequal atoms through a common bath
- Steady-State Entanglement for Distant Atoms by Dissipation in Coupled Cavities
- Dissipative preparation of entangled states between two spatially separated nitrogen-vacancy centers
- Quantum limit for avian magnetoreception: How sensitive can a chemical compass be?
- Cooling atom-cavity systems into entangled states
- Towards feedback control of entanglement
- Steady state entanglement between hybrid light-matter qubits
- Arrays of waveguide-coupled optical cavities that interact strongly with atoms
- Optimized Planar Penning Traps for Quantum Information Studies
- Stationary entanglement achievable by environment induced chain links
- Quantum Logic with a Single Trapped Electron
- Measurement-induced two-qubit entanglement in a bad cavity: Fundamental and practical considerations
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- Entanglement dynamics for qubits dissipating into a common environment
- Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
- Preparation of Pure Gaussian States via Cascaded Quantum Systems
- Propagation and Distribution of Quantum Correlations in a Cavity QED Network
- Quantum Correlations in Cavity QED Networks
- Critical slowing down and entanglement protection
- Measurement enhances long-distance Entanglement generation in spin chains with dissipative processes