Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States
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Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States Satyabrata Adhikari Delhi Technological University, Shahbad Daulatpur, Main Bawana Road, Delhi, 110042 India e-mail: [email protected] Received August 28, 2019; revised August 28, 2019; accepted October 15, 2019
Abstract—In this work, we propose a probabilistic teleportation protocol to teleport a single qubit via threequbit W-states using two-qubit measurement basis. We show that for the proper choice of the state parameter of the resource state, it is possible to make success probability of the protocol very high. We deduce the condition for the successful execution of our teleportation protocol and this gives us new class of three-qubit Wstates which act as a resource state. We have constructed operators that can be used to verify the condition of teleportation in experiment. This verification is necessary for the detection of whether the given three-qubit state is useful in our teleportation protocol or not. Further we quantify the amount of entanglement contained in the newly identified shared W-class of states. Moreover, we show that the W-class of shared state used in the teleportation protocol can be prepared using NMR set up. DOI: 10.1134/S1063776120090010
1. INTRODUCTION Entanglement, a quantum mechanical feature which has no analogue in classical domain [1]. It act as a powerful resource in quantum information processing in the sense that without entanglement, a quantum state transfer or quantum teleportation of a quantum state would not be possible within the laws of quantum mechanics [2]. Quantum teleportation is an indispensable tool in quantum computing [3] and quantum communication [4]. A revolutionary idea in the field of quantum communication had been given by Bennett et al. in 1993 in the form of a teleportation protocol [5]. In their work, it has been shown that the information encoded in a single qubit can be transferred to a distant receiver via a two-qubit maximally entangled state shared between sender and receiver with the help of two bits of classical communication. The protocols for quantum teleportation are crucial not only in the development of quantum information theory but also in the enhancement of quantum technologies. The teleportation protocol can be deterministic [5] or probabilistic [6] in the sense that the qubit can be teleported with unit probability or with some non-zero probability less than unity. Now if it is possible to teleport a qubit from one place to another distant place with unit fidelity and unit probability then it can be referred to as perfect teleportation. In the original teleportation protocol, perfect teleportation of a single qubit has been achieved with shared pure two-qubit maximally entangled state. However, if the shared entangled state is a non-maximally entangled state
then there exist teleportation protocols by which we can teleport a qubit with unit fidelity but with some probability less than unity [7]. There are some other teleportation protoco
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