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Optimal exploitation of the resource in remote state preparation

Nikaeen, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.102.012416
  3. Publisher: American Physical Society , 2020
  4. Abstract:
  5. Transmission efficiency (TE) of remote state preparation (RSP) with a shared quantum state and one bit of classical communication is considered. Following Dakić et al. [Nat. Phys. 8, 666 (2012)10.1038/nphys2377], the encoding and decoding operators of the protocol are restricted to the physically relevant classes of projective measurements and unitary operators, respectively. It is shown that contrary to the previous arguments, the quadratic fidelity as well as the linear fidelity could be a valid figure of merit to quantify the TE of RSP. Then, the TE of the protocol in terms of both linear and quadratic fidelities is evaluated in a fully optimized scenario which includes the maximization over the encoding parameters as well as a meaningful maximization over the decoding parameters. The results show that, in this scenario, the TE scales with the sum of the two largest eigenvalues of the squared correlation matrix of the resource state that is zero only for product states. This approach successfully quantifies the performance of the protocol in terms of the resource state parameters and provides a means to compare the usefulness of any two resource states for RSP. © 2020 American Physical Society
  6. Keywords:
  7. Decoding ; Eigenvalues and eigenfunctions ; Encoding (symbols) ; Signal encoding ; Classical communication ; Encoding and decoding ; Encoding parameters ; Largest eigenvalues ; Optimal exploitation ; Projective measurement ; Remote state preparation ; Transmission efficiency ; Quantum theory
  8. Source: Physical Review A ; Volume 102, Issue 1 , 15 July , 2020
  9. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.012416