Deterministic transformations of coherent states under incoherent operations


Torun G., Yıldız A.

PHYSICAL REVIEW A, cilt.97, sa.5, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 97 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1103/physreva.97.052331
  • Dergi Adı: PHYSICAL REVIEW A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

It is well known that the majorization condition is the necessary and sufficient condition for the deterministic transformations of both pure bipartite entangled states by local operations and coherent states under incoherent operations. In this paper, we present two explicit protocols for these transformations. We first present a permutation-based protocol which provides a method for the single-step transformation of d-dimensional coherent states. We also obtain generalized solutions of this protocol for some special cases of d-level systems. Then, we present an alternative protocol where we use d'-level (d' < d) subspace solutions of the permutation-based protocol to achieve the complete transformation as a sequence of coherent-state transformations. We show that these two protocols also provide solutions for deterministic transformations of pure bipartite entangled states.