Generalising multipartite concentratable entanglement for practical applications : mixed, qudit, and optical states

Foulds, Steph and Prove, Oliver and Kendon, Viv (2024) Generalising multipartite concentratable entanglement for practical applications : mixed, qudit, and optical states. Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences. ISSN 1471-2962 (In Press) (https://doi.org/10.1098/rsta.2024.0411)

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Abstract

The controlled SWAP test for detecting and quantifying entanglement applied to pure qubit states is robust to small errors in the states and efficient for large multi-qubit states [Foulds et al., QST 6 035002, 2021]. We extend this, and the related measure concentratable entanglement (CE), to enable important practical applications in quantum information processing. We investigate the lower bound of concentratable entanglement given in J. L. Beckey et al., Phys. Rev. A 107, 062425 (2023) and conjecture an upper bound of the mixed state concentratable entanglement that is robust to c-SWAP test errors. Since experimental states are always slightly mixed, our work makes the c-SWAP test and CE measure suitable for application in experiments to characterise entanglement. We further present the CE of some key higher dimensional states such as qudit states and entangled optical states to validate the CE as a higher dimensional measure of entanglement.

ORCID iDs

Kendon, Viv ORCID: https://orcid.org/0000-0002-6551-3056

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• Item metadata

  Item type:	Article
  ID code:	91283
  Dates:	Date Event 26 November 2024 Published 26 November 2024 Accepted
  Subjects:	Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	27 Nov 2024 10:33
  Last modified:	28 Nov 2024 01:29
  URI:	https://strathprints.strath.ac.uk/id/eprint/91283