Tripartite entanglement in qudit stabilizer states and application in quantum error correction
Journal Article
·
· Physical Review. A
- Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
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.
- OSTI ID:
- 22093475
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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