Deterministic hierarchical remote state preparation of a two‐qubit entangled state using Brown
            <i>et al.</i>
            state in a noisy environment

Barik, Subhashish; Warke, Aakash; Behera, Bikash K.; Panigrahi, Prasanta K.

doi:10.1049/iet-qtc.2020.0005

Cited by 14 publications

(8 citation statements)

References 24 publications

(16 reference statements)

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“…Where 0 ≤ η B ≤ 1 represents the bit-flip error proba-bility, which describes the probability of occurring error in the quantum state due to travel qubit, the effect of bit-flip noise on the six entangled channels can be seen by evaluating the affected density matrix after the introduction of noise, the affected density matrix under the bit-flip noise for all the six channels the Bell channel, GHZ channel, two-qubit cluster state, three 21) to (26).…”

Section: A Bit-flip Noisy Environmentmentioning

confidence: 99%

“…Security is an essential aspect of today's communication; in the present scenario, most of the data is shared and stored on the cloud, so there is always a threat to break into the data; for which high security of the data is essential. Many quantum communication protocols have been developed so far such as quantum cryptography [15][16][17], quantum information sharing [18][19][20], quantum superdense coding [21,22], quantum remote state preparation [23,24], quantum hierarchical remote state preparation [25,26], and quantum teleportation [27][28][29][30] to name a few.…”

Section: Introductionmentioning

confidence: 99%

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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: A Bit-flip Noisy Environmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Singh¹,

Kumar²,

Behera³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…When we have cloud data storage, there is always a threat of breaking into the data in the present era. Many quantum communication protocols have been developed such as quantum cryptography [15][16][17], quantum information sharing [18][19][20][21], quantum superdense coding [22,23], quantum remote state preparation [24,25], quantum hierarchical remote state preparation [26,27], and quantum teleportation [28][29][30][31] to name a few.…”

Section: Introductionmentioning

confidence: 99%

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

Singh

Kumar

Behera

2022

IET Quantum Communication

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Quantum communication is an integral part of quantum computing, where teleportation of a quantum state has gained significant attention from researchers. Many teleportation schemes have been introduced in the recent past. In this study, the authors compare the teleportation of a single‐qubit message among different entangled channels such as the two‐qubit Bell channel, three‐qubit GHZ channel, two/three‐qubit cluster states, a highly entangled five‐qubit state (Brown et al.) and the six‐qubit state (Borras et al.). The authors calculate and compare the quantum costs for these channels. The authors also study the effects of six noise models: bit‐flip noise, phase‐flip noise, bit‐phase‐flip noise, amplitude damping, phase damping and depolarising error. These noise models may affect the communication channel used for teleportation. An investigation of the variation of the initial state's fidelity is performed for the teleported state in the presence of the noise model. It is observed that the fidelity decreases in all the entangled channels as the noise parameter η increases in the range [0, 0.5] for all the noise models. The fidelity shows an upward trend in the Bell, GHZ and three‐qubit cluster state channels, as η varies in the range [0.5, 1.0] for all the noise models. However, in the rest of the three channels, the fidelity substantially decreases in the case of amplitude damping, phase damping and depolarising noise, and even it reaches zero for η = 1 in Brown et al. and Borras et al. channels.

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“…Quantum mechanics is the foundation of quantum communication and provides some new ways for quantum information transmission, such as quantum key distribution [1,2], quantum secure direct communication [3][4][5][6], quantum dialogue [7] and remote state preparation [8] etc. In 1993, quantum teleportation was first proposed by Bennett et al [9].…”

Section: Introductionmentioning

confidence: 99%

Multi‐hop non‐destructive qudit teleportation via non‐maximally entangled GHZ channels

Liu

Wei

Xue

et al. 2021

IET Quantum Communication

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A scheme for the multihop non-destructive teleportation of an arbitrary single-qudit state based on various non-maximally entangled Greenberger-Horne-Zeilinger channels is proposed here. The parallel entanglement swap is used to form a direct ddimensional (d ≥ 2) entangled channel shared between the sender and the receiver. The authors' propose a novel idea that the third-party Charlie with high quantum information processing technology executes the channel modulation, which reduces the technical requirements of the sender and the receiver. In addition, if the teleportation fails, the unknown state will be restored by the sender. This work provides a feasible method for teleportation and ensures the integrity of the unknown quantum information.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Deterministic hierarchical remote state preparation of a two‐qubit entangled state using Brown et al. state in a noisy environment

Cited by 14 publications

References 24 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

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

Multi‐hop non‐destructive qudit teleportation via non‐maximally entangled GHZ channels

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