Quantum Inf Process (2015) 14:3441–3464
Controlled bidirectional remote state preparation
in noisy environment: a generalized view
· Chitra Shukla
· Anirban Pathak
Received: 2 September 2014 / Accepted: 22 May 2015 / Published online: 21 June 2015
© Springer Science+Business Media New York 2015
Abstract It is shown that a realistic controlled bidirectional remote state preparation
is possible using a large class of entangled quantum states having a particular structure.
Existing protocols of probabilistic, deterministic and joint remote state preparation are
generalized to obtain the corresponding protocols of controlled bidirectional remote
state preparation (CBRSP). A general way of incorporating the effects of two well-
known noise processes, the amplitude-damping and phase-damping noise, on the
probabilistic CBRSP process is studied in detail by considering that noise only affects
the travel qubits of the quantum channel used for the probabilistic CBRSP process.
Also indicated is how to account for the effect of these noise channels on deterministic
and joint remote state CBRSP protocols.
Keywords Remote state preparation · Controlled bidirectional communication ·
Quantum communication · Amplitude-damping noise · Phase-damping noise
The concept of quantum teleportation was introduced by Bennett et al., in 1993 .
In teleportation, an unknown quantum state is transmitted from a sender (Alice) to
a receiver (Bob) by using a shared entanglement and two bits of classical commu-
nication. In this process, the unknown quantum state does not travel through the
quantum channel, and thus, this process does not have any classical analogue. This
extremely interesting nonclassical nature of the quantum teleportation phenomenon
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