Hierarchical Quantum Information Splitting of an Arbitrary Two-Qubit Using a Single Quantum Resource

Zha, Xin-Wei; Miao, Ning; Wang, Hui‐Fang

doi:10.1007/s10773-019-04134-3

Cited by 15 publications

(2 citation statements)

References 13 publications

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“…The high-grade agent requires some of the other agents’ help to complete the task, while the low-grade agent can do it only if all the other agents supply the assistance. Since then, much attention [ 20 , 21 , 22 , 23 , 24 , 25 ] has been paid to HQIS due to its useful applications in practice. Like many other quantum communication schemes [ 26 , 27 , 28 ], HQIS prefers using maximal entanglement to achieve perfect transmission.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Tang

2022

Entropy

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By utilizing the non-maximally entangled four-qubit cluster states as the quantum channel, we first propose a hierarchical quantum information splitting scheme of arbitrary three-qubit states among three agents with a certain probability. Then we generalize the scheme to arbitrary multi-qubit states. Hierarchy is reflected on the different abilities of agents to restore the target state. The high-grade agent only needs the help of one low-grade agent, while the low-grade agent requires all the other agents’ assistance. The designated receiver performs positive operator-valued measurement (POVM) which is elaborately constructed with the aid of Hadamard matrix. It is worth mentioning that a general expression of recovery operation is derived to disclose the relationship with measurement outcomes. Moreover, the scheme is extended to multiple agents by means of the symmetry of cluster states.

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Section: Introductionmentioning

confidence: 99%

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Tang

2022

Entropy

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“…In addition, many improved QT schemes have been proposed, such as quantum information splitting (QIS) [15]- [17], quantum secret sharing (QSS) [18]- [20], controlled quantum teleportation (CQT) [21]- [23] and bidirectional quantum teleportation (BQT) [24]- [31], [33]- [40] and so on, which all can be considered as the expansion of QT. Among these, the BQT is such a scheme that the sender and receiver can realize the mutual transmission of quantum state information by using multi-qubit entangled states as quantum channels.…”

Section: Introductionmentioning

confidence: 99%

Bidirectional Quantum Teleportation by Using a Four-Qubit GHZ State and Two Bell States

Chen

Liu

et al. 2020

IEEE Access

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In this paper, a theoretical scheme for bidirectional quantum teleportation by using a four-qubit GHZ state and two Bell states as a quantum channel is proposed. In this scheme, two arbitrary single-qubit quantum states and an unknown three-qubit state can be mutually transmitted between the two communication participants Alice and Bob. The quantum state information can be transmitted if Alice performs four single-qubit measurement operations on her qubits and Bob carries out a four-qubit joint measurement on his qubits, respectively. Then both Alice and Bob can reconstruct the target quantum state by means of appropriate unitary operations. Then we take comparisons with the other bidirectional quantum teleportation protocols in five aspects of quantum information bits transmitted, necessary operations, consumption of quantum resource, consumption of classical resource and intrinsic efficiency. Furthermore, we use channel authentication method to ensure the channel security and prove that our protocol can withstand four attack scenarios. It is concluded that our scheme has significant advantages of more qubits number transmitted, higher intrinsic efficiency and high security. INDEX TERMS Bidirectional quantum teleportation, four-qubit GHZ state and two Bell states, single-qubit measurement, four-qubit joint measurement, channel authentication.

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A Rational Hierarchical Quantum State Sharing Protocol

Zhang

Che

Dou

et al. 2022

Lecture Notes in Computer Science

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Hierarchical Quantum Information Splitting of an Arbitrary Two-Qubit Using a Single Quantum Resource

Cited by 15 publications

References 13 publications

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Probabilistic Hierarchical Quantum Information Splitting of Arbitrary Multi-Qubit States

Bidirectional Quantum Teleportation by Using a Four-Qubit GHZ State and Two Bell States

A Rational Hierarchical Quantum State Sharing Protocol

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