Two-Way Remote Preparations of Inequivalent Quantum States Under a Common Control

Economizing Nonlocal Resource in Two-Way Remote Preparations of Inequivalent Quantum States Under a Common Control

“…In conclusion, we reconsider the problem which was recently addressed on in Ref. [14]. The merit of this reconsideration is that the nonlocal resource employed in [14] is greatly economized from using eleven qubits to only seven ones.…”

“…(3) of Ref. [14]), here we consider a much simpler one which is made only of seven qubits of the form Let us address on the issue of how to generate the above quantum channel state |q later, but rush right now to the issue of how it works.…”

“…In this paper, we revisit a recently published protocol on 'Two-Way Remote Preparations of Inequivalent Quantum States Under a Common Control' [14] in which Alice can prepare for her remote Bob a three-qubit Greenberger-Horne-Zeilinger-type (GHZ-type) state [15] of the form…”

“…Furthermore, the coefficients α 0 and α 1 are known only to Alice, while Bob is the only one who knows the coefficients β 0 , β 1 , β 2 and β 3 . The shared nonlocal resource in [14] was a maximally entangled state that consists of eleven qubits which leads to an expensive cost for the process of distributing the qubits among Alice, Bob and Charlie, as explained before. Here we have found out that the same tasks as formulated in [14] can be executed equally well by using a nonlocal resource which is made only of seven qubits, a much more economical protocol as compared to the original one.…”

“…The shared nonlocal resource in [14] was a maximally entangled state that consists of eleven qubits which leads to an expensive cost for the process of distributing the qubits among Alice, Bob and Charlie, as explained before. Here we have found out that the same tasks as formulated in [14] can be executed equally well by using a nonlocal resource which is made only of seven qubits, a much more economical protocol as compared to the original one. The details of how to use the seven-qubit nonlocal resource for the required remote state preparations will be presented in the section II.…”