Distillation of Greenberger-Horne-Zeilinger States by Combinatorial Methods
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- OA-Distillation of Greenberger-Horne-Zeilinger States by Combinatorial Methods
Accepted author manuscript, 455 KB, PDF document
We prove a lower bound on the rate of Greenberger-Horne-Zeilinger states distillable from pure multipartite states by local operations and classical communication (LOCC). Our proof is based on a modification of a combinatorial argument used in the fast matrix multiplication algorithm of Coppersmith and Winograd. Previous use of methods from algebraic complexity in quantum information theory concerned transformations with stochastic LOCC (SLOCC), resulting in an asymptotically vanishing success probability. In contrast, our new protocol works with an asymptotically vanishing error.
|Journal||IEEE Transactions on Information Theory|
|Publication status||Published - 2019|
- Quantum entanglement, local operations and classical communication, multipartite entanglement distillation