Open AccessDeterministic hierarchical remote state preparation of a two‐qubit entangled state using Brown et al. state in a noisy environment
Author(s) -
Barik Subhashish,
Warke Aakash,
Behera Bikash K.,
Panigrahi Prasanta K.
Publication year - 2020
Publication title -
iet quantum communication
Language(s) - English
Resource type - Journals
ISSN - 2632-8925
DOI - 10.1049/iet-qtc.2020.0005
Subject(s) - fidelity , noise (video) , qubit , state (computer science) , computer science , quantum noise , greenberger–horne–zeilinger state , physics , topology (electrical circuits) , statistical physics , telecommunications , quantum mechanics , w state , quantum , algorithm , artificial intelligence , electrical engineering , engineering , image (mathematics)
Quantum communication is one of the cutting‐edge research areas today, where the scheme of remote state preparation (RSP) has drawn significant attention of researchers. The authors propose here a hierarchical RSP protocol for sending a two‐qubit entangled state using a seven‐qubit highly entangled state derived from Brown et al . state. They have also studied here the effects of two well‐known noise models namely amplitude damping (AD) and phase damping (PD). An investigation on the variation of the fidelity of the state with respect to the noise operator and receiver is made. PD noise is found to affect the fidelity more than the AD noise. Furthermore, the higher power receiver obtains the state with higher fidelity than the lower power receiver under the effect of noise. To the best of their knowledge, they believe that they have achieved the highest fidelity for the higher power receiver, 0.89 in the presence of maximum AD noise and 0.72 in the presence of maximum PD noise, compared to all the previously proposed RSP protocols in noisy environments. The study of noise is described in a very pedagogical manner for a better understanding of the application of noise models to a communication protocol.