General condition of quantum teleportation by one-dimensional quantum walks

Yamagami, Tomoki; Segawa, Etsuo; Konno, Norio

doi:10.1007/s11128-021-03155-4

Cited by 9 publications

(4 citation statements)

References 19 publications

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“…In addition, the contribution to quantum information technology is becoming more prominent these days. QWs have been applied not only to the principle of technologies such as quantum search, quantum teleportation [ 30 , 31 ], and quantum key distribution [ 32 ] but also to the implementation of quantum gates themselves [ 33 , 34 ].…”

Section: Introductionmentioning

confidence: 99%

Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk

Yamagami

Segawa

Mihana

et al. 2023

Entropy

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Quantum walks (QWs) have a property that classical random walks (RWs) do not possess—the coexistence of linear spreading and localization—and this property is utilized to implement various kinds of applications. This paper proposes RW- and QW-based algorithms for multi-armed-bandit (MAB) problems. We show that, under some settings, the QW-based model realizes higher performance than the corresponding RW-based one by associating the two operations that make MAB problems difficult—exploration and exploitation—with these two behaviors of QWs.

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Section: Introductionmentioning

confidence: 99%

Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk

Yamagami

Segawa

Mihana

et al. 2023

Entropy

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“…Indeed, quantum walks exhibit versatile behavior depending on conditions or settings of time and space, so there are many studies about their mathematical analysis [6][7][8][9][10][11][12][13]. In addition, their unique behavior is useful for implementing quantum structures or quantum analogs of existing models; therefore, the application is considered in fields such as quantum teleportation [14,15], time series analysis [16], topological insulators [17,18], radioactive waste reduction [19,20], and optics [21]. Moreover, properties of quantum walks have also been simulated numerically [22] or experimentally via the interference of classical light waves [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Directivity of Quantum Walk via Its Random Walk Replica

et al. 2022

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Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating random walks (QWRWs), have been studied in the literature where the eventual properties of QWRW coincide with those of QWs. However, we consider that the unique attributes of QWRWs have not been fully utilized in the former studies to obtain deeper or new insights into QWs. In this paper, we highlight the directivity of one-dimensional discrete quantum walks via QWRWs. By exploiting the fact that QWRW allows trajectories of individual walkers to be considered, we first discuss the determination of future directions of QWRWs, through which the effect of linear spreading and localization is manifested in another way. Furthermore, the transition probabilities of QWRWs can also be visualized and show a highly complex shape, representing QWs in a novel way. Moreover, we discuss the first return time to the origin between RWs and QWs, which is made possible via the notion of QWRWs. We observe that the first return time statistics of QWs are quite different from RWs, caused by both the linear spreading and localization properties of QWs.

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“…Quantum communication is also because of the quantum entanglement effect, and the communication process can be more stable and secure when the communicating parties carry out information transmission, which is also the difference between quantum communication and classical communication. The quantum entanglement effect can make the quantum communication process more stable, so the quantum entanglement is widely used in quantum communication, such as quantum key distribution, [1][2][3] quantum dense coding, [4,5] quantum teleportation, [6][7][8] and so on.…”

Section: Introductionmentioning

confidence: 99%

Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state

Liu¹,

Li²,

Zheng³

et al. 2022

Chinese Phys. B

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Quantum controlled teleportation is the transmission of the quantum state under the supervision of a third party. This paper presents a theoretical and experimental combination of an arbitrary two-qubit quantum controlled teleportation scheme. In the scheme, the sender Alice only needs to perform two Bell state measurements, and the receiver Bob can perform the appropriate unitary operation to reconstruct arbitrary two-qubit states under the control of the supervisor Charlie. We verified the operation process of the scheme on the IBM Quantum Experience platform and further checked the accuracy of the transmitted quantum state by performing quantum state tomography. Meanwhile, good fidelity is obtained by calculating the theoretical density matrix and the experimental density matrix. We also introduced a sequence of photonic states to analyze the possible intercept-replace-resend, intercept-measure-resend, and entanglement-measure-resend attacks on this scheme. The results proved that our scheme is highly secure.

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General condition of quantum teleportation by one-dimensional quantum walks

Cited by 9 publications

References 19 publications

Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk

Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk

Directivity of Quantum Walk via Its Random Walk Replica

Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state

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