Long-range quantum entanglement in noisy cluster states (6 pages)
By Robert Raussendorf, Sergey Bravyi, J. Harrington. 2004
185 citations recorded by the source corpus.
We describe a phase transition for long-range entanglement in a three-dimensional cluster state affected by noise. The partially decohered state is modeled by the thermal state of a short-range translation-invariant Hamiltonian. We find that the temperature at which the entanglement length changes from infinite to finite is nonzero. We give an upper and lower bound to this transition temperature.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/197899d9e516354c19f11c0f0cd1cfe2b237f18c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Nathanan Tantivasadakarn
- Z. Minev
- Ashvin Vishwanath
- Vinay Tripathi
- R. Verresen
- Ryan Thorngren
- Patrick Rall
In Atomic and Molecular Physics, and Optics
- R. Verresen
- Ryan Thorngren
- Ashvin Vishwanath
- Nathanan Tantivasadakarn
- Z. Minev
- E. Witten
- T. Senthil
- Xianhui Chen
Citations in the corpus
- Efficient Long-Range Entanglement Using Dynamic Circuits (2023, background): “This includes both implementation of long-range entangling gates that, due to local connectivity among the qubits in many quantum platforms, can require deep unitary quantum circuits, and preparation of many-qubit entangled [3, 4] and topologically ordered quantum states [5–13].”
- Long-Range Entanglement from Measuring Symmetry-Protected Topological Phases (2021, background): “For example, it is known that performing single-site measurements on a subset of sites of a cluster state (with SRE) can produce a Greenberger-Horne-Zeilinger (GHZ) cat state [51], the toric code [52–54], and certain fracton codes via a layered construction [55, 56].”