1. Tripartite entanglement in qudit stabilizer states and application in quantum error correction.
- Author
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Shiang Yong Looi and Griffithst, Robert B.
- Subjects
- *
EINSTEIN-Podolsky-Rosen experiment , *QUANTUM information science , *QUANTUM entanglement , *ERROR-correcting codes , *TENSOR products - Abstract
Consider a stabilizer state on n qudits, each of dimension D with D being a prime or squarefree integer, divided into three mutually disjoint sets or parts. Generalizing a result of Bravyi et al. [J. Math. Phys. 47, 062106 (2006)] for qubits (D = 2), we show that up to local unitaries, the three parts of the state can be written as tensor product of unentangled signle-qudit states, maximally entangled Einstein-Podolsky-Rosen (EPR) pairs, and tripartite Greenberger-Horne-Zeilinger (GHZ) states. We employ this result to obtain a complete characterization of the properties of a class of channels associated with stabilizer error-correcting codes, along with their complementary channels. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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