Teleportation of a Pure EPR State via GHZ-like State

Tsai, Chia-Wei; Hwang, Tzonelih

doi:10.1007/s10773-010-0382-6

Cited by 60 publications

(11 citation statements)

References 16 publications

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“…Ghosh et al [42] have generalized a teleportation scheme of an entangle state using a Greenberger-Horne-Zeilinger(GHZ)class state. Several new schemes are proposed for the teleportation using W-state and GHZ-state or GHZ-like state [43]. The cluster states channel is used by Li and Cao [44] to teleport arbitrary two states using a fourqubit cluster state.…”

Section: Introductionmentioning

confidence: 99%

Complexity analysis of quantum teleportation via different entangled channels in the presence of noise

Singh¹,

Kumar²,

Behera³

2021

Preprint

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Quantum communication is one of the hot topics in quantum computing, where teleportation of a quantum state has a slight edge and gained significant attention from researchers. A large number of teleportation schemes have already been introduced so far. Here, we compare the teleportation of a single qubit message among different entangled channels such as the two-qubit Bell channel, three-qubit GHZ channel, two-and three-qubit cluster states, the highly entangled five-qubit Brown et al. state and the six-qubit Borras et al. state. We calculate and compare the quantum costs in each of the cases. Furthermore, we study the effects of six noise models, namely bit-flip noise, phase-flip noise, bit-phase flip noise, amplitude damping, phase damping and the depolarizing error that may affect the communication channel used for the teleportation. An investigation on the variation of the initial state's fidelity with respect to the teleported state in the presence of the noise model is performed. A visual representation of the variation of fidelity for various values of the noise parameter η is done through a graph plot. It is observed that as the value of noise parameter in the range η ∈ [0, 0.5], the fidelity decreases in all the entangled channels under all the noise models. After that, in the Bell channel, GHZ channel and three-qubit cluster state channel, the fidelity shows an upward trend under all the noise models. However, in the other three channels, the fidelity substantially decreases in the case of amplitude damping, phase damping and depolarizing noise, and even it reaches zero for η = 1 in Brown et al. and Borras et al. channels.

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Section: Introductionmentioning

confidence: 99%

Complexity analysis of quantum teleportation via different entangled channels in the presence of noise

Singh¹,

Kumar²,

Behera³

2021

Preprint

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“…Another kind of optimization has been attempted in some recent works. Specifically, efforts have been made to form teleportation channel (having lesser number of entangled qubits) suitable for the teleportation of specific types of unknown quantum states [11,[17][18][19][20][21][22][23][24][25][26][27][28][29]. For example, in [17], the 3-qubit and the 4-qubit unknown quantum states have been teleported using 4 and 5-qubit cluster states, respectively.…”

Section: Introductionmentioning

confidence: 99%

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

Sisodia

Shukla

Thapliyal

et al. 2017

Quantum Inf Process

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An explicit scheme (quantum circuit) is designed for the teleportation of an n-qubit quantum state. It is established that the proposed scheme requires an optimal amount of quantum resources, whereas larger amount of quantum resources has been used in a large number of recently reported teleportation schemes for the quantum states which can be viewed as special cases of the general n-qubit state considered here. A trade off between our knowledge about the quantum state to be teleported and the amount of quantum resources required for the same is observed. A proof of principle experimental realization of the proposed scheme (for a 2-qubit state) is also performed using 5-qubit superconductivity-based IBM quantum computer. Experimental results show that the state has been teleported with high fidelity. Relevance of the proposed teleportation scheme has also been discussed in the context of controlled, bidirectional, and bidirectional-controlled state teleportation.

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“…Origi nally the quantum teleportation was presented by Bennett et al [1] for arbitrary single qubit quantum states by using a maximally entangled Bell state. After that several theoretical and experimental aspects of different teleportation protocols with various types of quantum resources appeared in the literature, some of which are noted in [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. We describe some of the works below.…”

Section: Introductionmentioning

confidence: 99%

“…In 2005, Car doso et al [7] proposed a teleportation protocol of entangled states without Bell state measurement. In 2010, Tsai et al [11] presented a teleportation of a pure EPR state using GHZ like state. In 2013, Nandi and Mazumdar [12] presented a teleportation protocol of a more general two qubit state using the GHZ like state as quantum channel.…”

Section: Introductionmentioning

confidence: 99%

A probabilistic quantum communication protocol using mixed entangled channel

Choudhury

Dhara²

2016

Phys. Part. Nuclei Lett.

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Qubits are realized as polarization state of photons or as superpositions of the spin states of elec trons. In this paper we propose a scheme to probabilistically teleport an unknown arbitrary two qubit state using a non maximally entangled GHZ like state and a non maximally Bell state simultaneously as quantum channels. We also discuss the success probability of our scheme. We perform POVM in the protocol which is operationally advantageous. In our scheme we show that the non maximal quantum resources perform better than maximal resources.

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Teleportation of a Pure EPR State via GHZ-like State

Abstract: This study proposes a novel teleportation using the GHZ-like state 1 2 (|001 + |010 + |100 + |111 ), in which a pure EPR state α|01 + β|10 can be perfectly teleported. Furthermore, the teleportation scheme is applied to construct a quantum secret state sharing (QSSS) protocol.

Cited by 60 publications

References 16 publications

Complexity analysis of quantum teleportation via different entangled channels in the presence of noise

Complexity analysis of quantum teleportation via different entangled channels in the presence of noise

Design and experimental realization of an optimal scheme for teleportation of an n-qubit quantum state

A probabilistic quantum communication protocol using mixed entangled channel

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