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Communications in Theoretical Physics

Hybrid bidirectional quantum communication with different levels of control with simulation

Plaban Saha, Manoj Kumar Mandal, Binayak Samadder Choudhury, Soumen Samanta

Published Sep 6, 2024• 4 citations
Publisher

Abstract

Abstract In this paper, we develop a quantum communication protocol for the simultaneous preparation of a two-qubit and a three-qubit state at the positions of two different parties situated spatially apart. For one party, Alice, it is a remote state preparation of a known two-qubit state while for the other party, Bob, it is a joint remote state preparation with the help of a third party, Eve. The protocol is executed in a hybrid form bi-directionally in the presence of two controllers, Charlie and David. There is a hierarchy in the process through different levels of control under which the actions by Alice and Bob are performed. There is a need for a ten-qubit entangled channel connecting the five parties. The generation of this channel through a circuit is discussed. The protocol is executed on the IBM Quantum platform. We also study the effect of noise on our protocol. Here, amplitude-damping, bit-flip and phase-flip noisy environments are considered and the corresponding variations of fidelity are theoretically and numerically analyzed.

DOI
10.1088/1572-9494/ad77af

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Abstract The scheme for asymmetric and deterministic controlled bidirectional joint remote state preparation by using one ten-qubit entangled state as the quantum channel is proposed. In this scheme, Alice and David want to remotely prepare an arbitrary single-qubit state at Bob’s site, at the same time, Bob and Eve wish to help Alice remotely prepare an arbitrary two-qubit entangled state. Alice and Bob can simultaneously prepare the desired states with the cooperation of David and Eve under the control of Charlie .
We discuss a quantum remote state preparation protocol by which two parties, Alice and Candy, prepare a single-qubit and a two-qubit state, respectively, at the site of the receiver Bob. The single-qubit state is known to Alice while the two-qubit state which is a non-maximally entangled Bell state is known to Candy. The three parties are connected through a single entangled state which acts as a quantum channel. We first describe the protocol in the ideal case when the entangled channel under use is in a pure state. After that, we consider the effect of amplitude damping (AD) noise on the quantum channel and describe the protocol executed through the noisy channel. The decrement of the fidelity is shown to occur with the increment in the noise parameter. This is shown by numerical computation in specific examples of the states to be created. Finally, we show that it is possible to maintain the label of fidelity to some extent and hence to decrease the effect of noise by the application of weak and reversal measurements. We also present a scheme for the generation of the five-qubit entangled resource which we require as a quantum channel. The generation scheme is run on the IBMQ platform.
Abstract This paper presents a hierarchical controlled asymmetric bidirectional hybrid quantum communication protocol applicable to hierarchical quantum information transmission tasks across diverse scenarios. The scheme incorporates two communication tasks: (1) With the assistance of controller Charlie, Alice can perform the lower-priority task of transmit arbitrary single-qubit state to Bob via quantum teleportation; (2) As a higher-priority task, Bob needs to remotely preparing arbitrary two-qubit states for Alice. This process requires not only authorization from controller Charlie but also collaborative support from another controller David. Theoretical analysis demonstrates that the protocol achieves a 100% success rate under ideal conditions. To address noise interference in practical communication, the impacts of different noise models on protocol performance are systematically investigated, followed by an efficiency comparison with existing similar schemes. Results indicate that this protocol significantly outperforms current hierarchical quantum communication solutions in terms of task generality and flexibility. By assigning differentiated control levels to different tasks, the protocol provides users with enhanced configurability to meet specific requirements, particularly in complex scenarios requiring integrated multi-level authorization control and hybrid quantum communication.