Quantum random state generation with predefined entanglement constraint

Anmer Daskin, Ananth Grama, Sabre Kais

Research output: Contribution to journalArticle

Abstract

Entanglement plays an important role in quantum communication, algorithms, and error correction. Schmidt coefficients are correlated to the eigenvalues of the reduced density matrix. These eigenvalues are used in von Neumann entropy to quantify the amount of the bipartite entanglement. In this paper, we map the Schmidt basis and the associated coefficients to quantum circuits to generate random quantum states. We also show that it is possible to adjust the entanglement between subsystems by changing the quantum gates corresponding to the Schmidt coefficients. In this manner, random quantum states with predefined bipartite entanglement amounts can be generated using random Schmidt basis. This provides a technique for generating equivalent quantum states for given weighted graph states, which are very useful in the study of entanglement, quantum computing, and quantum error correction.

Original languageEnglish
Article number1450030
JournalInternational Journal of Quantum Information
Volume12
Issue number5
DOIs
Publication statusPublished - 30 Aug 2014
Externally publishedYes

Fingerprint

eigenvalues
coefficients
quantum communication
quantum computation
entropy

Keywords

  • quantum circuit
  • Quantum entanglement
  • quantum random state
  • Schmidt decomposition

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Quantum random state generation with predefined entanglement constraint. / Daskin, Anmer; Grama, Ananth; Kais, Sabre.

In: International Journal of Quantum Information, Vol. 12, No. 5, 1450030, 30.08.2014.

Research output: Contribution to journalArticle

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