Generalized teleportation by quantum walks

Wang, Yu; Shang, Yun; Xue, Peng

doi:10.1007/s11128-017-1675-y

Cited by 60 publications

(46 citation statements)

References 17 publications

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“…Definition 3. [quantum-walk-replicating random walk (QWRW)] Let {Ψ n } n∈N 0 be the quantum walk defined by (15), i.e.,…”

Section: The Construction Of Qwrwsmentioning

confidence: 99%

Directivity of quantum walk via its random walk replica

Yamagami¹,

Segawa²,

Chauvet³

et al. 2022

Preprint

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A quantum walk exhibits quite different properties compared to a classical random walk, such as linear spreading and localization. While quantum superposition provides these interesting properties, their intuitive understanding and characterization are not easy. In this paper, we construct one-dimensional random walks derived by the time evolution of quantum walks and prove that the probability distribution of the original quantum walk and that of the corresponding quantum-walkreplicating random walk is equivalent. Moreover, we demonstrate further insights through the analysis of quantum-walk-replicating random walks, such as the manifestation of linear spreading and localization, by visualizing the traces of individual walkers and transition probabilities.

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“…Definition 3. [quantum-walk-replicating random walk (QWRW)] Let {Ψ n } n∈N 0 be the quantum walk defined by (15), i.e.,…”

Section: The Construction Of Qwrwsmentioning

confidence: 99%

Directivity of quantum walk via its random walk replica

Yamagami¹,

Segawa²,

Chauvet³

et al. 2022

Preprint

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“…The walker moves from n to 1 + n if the tossed coin is 0 and steps backwards to 1 − n if the tossed coin is 1 . In the past two years, Wang et al [22] and Shang et al [23] have successfully applied quantum walk to the communication protocol of particle teleportation. In detail, the conditional shift operator can introduce entanglement between position space and coin space, this entanglement resource can be used as quantum channel for teleportation.…”

Section: One-dimensional Quantum Walk Model On the Linementioning

confidence: 99%

“…Quantum walk is the quantum correspondence of classic walk, first proposed by Aharonov etal in 1993 [19]. Quantum walks show meaningful applications in many ways [20,21], and applications in communication protocols are beginning to emerge [22][23][24]. In the past two years, Wang et al [22] and Shang et al [23] proposed the successful application of different models of quantum walk in teleportation.…”

Section: Introductionmentioning

confidence: 99%

Quantum Secret Sharing Scheme with Credible Authentication based on Quantum Walk

Li¹,

Yan²,

Zhang³

2020

KSII TIIS

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Based on the teleportation by quantum walk, a quantum secret sharing scheme with credible authentication is proposed. Using the Hash function and quantum local operation, combined with the two-step quantum walks circuit on the line, the identity authentication and the teleportation of the secret information in distribution phase are realized. Participants collaborate honestly to recover secret information based on particle measurement results, preventing untrusted agents and external attacks from obtaining useful information. Due to the application of quantum walk, the sender does not need to prepare the necessary entangled state in advance, simply encodes the information to be sent in the coin state, and applies the conditional shift operator between the coin space and the position space to produce the entangled state necessary for quantum teleportation. Security analysis shows that the protocol can effectively resist intercept/resend attacks, entanglement attacks, participant attacks, and impersonation attacks. In addition, the quantum walk circuit used has been implemented in many different physical systems and experiments, so this quantum secret sharing scheme may be achievable in the future.

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“…The qubits q [1], q [2] and q [3] represent the position space. The qubits q [4], q [5] and q [6] represent Alice's coin and q [7], q [8] and q [9] represent Bob's coin. q[0] is an ancillary qubit.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

“…In coined quantum walks [6,7], conditional shift operators can introduce entanglement between position space and coin space. Wang, Shang and Xue [8] have proposed a scheme to use this entanglement resource as a quantum channel for teleportation. Perhaps the most intriguing aspect of teleportation by quantum walks is that maximal entanglement [9,10,11] resource is not necessarily prepared beforehand.…”

Section: Introductionmentioning

confidence: 99%

Experimental realization of quantum teleportation using coined quantum walks

Chatterjee

Devrari

Behera

et al. 2019

Quantum Inf Process

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The goal of teleportation is to transfer the state of one particle to another particle. In coined quantum walks, conditional shift operators can introduce entanglement between position space and coin space. This entanglement resource can be used as a quantum channel for teleportation, as proposed by Wang, Shang and Xue [Quantum Inf. Process. 16, 221 (2017)]. Here, we demonstrate the implementation of quantum teleportation using quantum walks on a five-qubit quantum computer and a 32-qubit simulator provided by IBM quantum experience beta platform. We show the teleportation of singlequbit, two-qubit and three-qubit quantum states with circuit implementation on the quantum devices. The teleportation of Bell, W and GHZ states has also been demonstrated as special cases of the above states.

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Generalized teleportation by quantum walks

Cited by 60 publications

References 17 publications

Directivity of quantum walk via its random walk replica

Directivity of quantum walk via its random walk replica

Quantum Secret Sharing Scheme with Credible Authentication based on Quantum Walk

Experimental realization of quantum teleportation using coined quantum walks

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