Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions

By A. J. Scott. 2003

302 citations recorded by the source corpus.

We investigate the average bipartite entanglement, over all possible divisions of a multipartite system, as a useful measure of multipartite entanglement. We expose a connection between such measures and quantum-error-correcting codes by deriving a formula relating the weight distribution of the code to the average entanglement of encoded states. The multipartite entangling power of quantum evolutions is also investigated.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/6c19c33aa5b73bc01a2e4cbc85a5e8a4f5efbe56

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement certification from theory to experiment (2018, background): “To name just a few, multipartite entanglement forms the basis for quantum networking proposals in quantum communication [175–178], in quantum metrology it is a key resource for beating the standard quantum limit (SQL) [179], it is important in quantum error correcting codes [180], appears as a gener”
Geometry of Quantum States: Index (2007, background): “We have seen that a k-uniform state of K quNits is a [[K, 1, k+ 1]]N quantum errorcorrecting code [819], but for more information we refer elsewhere [259, 751, 857].”
Entanglement in many-body systems (2007, background): “The entropy of entanglement is an example for such a quantity and several works use multipartite measures constructed from and related to it (see e.g. Barnum et al., 2003; Coffman et al., 2000; de Oliveira et al., 2006a; Love et al., 2006; Meyer and Wallach, 2002; Scott, 2004).”