Quantum network coding utilizing quantum discord resource fully

Liu, Ran; Shang, Tao; Liu, Jianwei

doi:10.1007/s11128-019-2558-1

Cited by 8 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Before deriving our conclusions, we briefly discuss some advantages of the proposed QNC protocol compared with Refs. [12,15,18,20,22]. Firstly, we proposed the first d-dimensional QFHE protocol based on universal quantum gates.…”

Section: Discussionmentioning

confidence: 99%

“…It can be applied to various quantum cryptographic protocols, such as quantum secure direct communication, quantum secure multi-party summation, quantum network coding, etc. Secondly, the internal attacks launched by dishonest intermediate nodes, which are inevitable in practical applications, are taken into account in our protocol compared to protocols [15,18,22]. To this end, we design a d-dimensional QFHE protocol, which is utilised by the two source nodes to encrypt the prepared quantum states.…”

Section: Discussionmentioning

confidence: 99%

“…Fourthly, the generality of the proposed protocol is higher. The protocols [12,15,20,22] utilize 2-dimensional quantum resources to transmit quantum states. Whereas the proposed protocol implements the transmission of quantum states on d-dimensional quantum systems.…”

Section: Discussionmentioning

confidence: 99%

“…It used two pairs of Bell states shared in advance by the two senders to achieve perfect transmission of two qubits in the butterfly network. Since then, more and more scholars have started to focus on this area, and various QNC protocols [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] have been proposed. In 2009, Kobayashi et al [10] introduced classical communication into quantum network coding, and achieved lossless quantum state transmission with fidelity of 1 by simulating a classical linear network coding scheme.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

School Mathematics Textbooks in China

Wang¹

2015

East China Normal University Scientific Reports

View full text Add to dashboard Cite

Let µ and ν be two probability measures on R d , where µ(dx) = e −V (x) dx R d e −V (x) dx for some V ∈ C 1 (R d ). Explicit sufficient conditions on V and ν are presented such that µ * ν satisfies the log-Sobolev, Poincaré and super Poincaré inequalities. In particular, if V (x) = λ|x| 2 for some λ > 0 and ν(e λθ|•| 2 ) < ∞ for some θ > 1, then µ * ν satisfies the log-Sobolev inequality. This improves and extends the recent results on the log-Sobolev inequality derived in [20] for convolutions of the Gaussian measure and compactly supported probability measures. On the other hand, it is well known that the log-Sobolev inequality for µ * ν implies ν(e ε|•| 2 ) < ∞ for some ε > 0. RésuméDes conditions explicites suffisantes sur V et ν sont présentées telles que µ * ν satisfait des inégalités de Sobolev logarithmique, de Poincaré et de super-Poincaré. En particulier, si V (x) = λ|x| 2 pour quelque λ > 0 et ν(e λθ|•| 2 ) < ∞ avec θ > 1, alors µ * ν satisfait l'inégalité de Sobolev logarithmique. Cela améliore et étend des résultats récents sur l'inégalité de Sobolev logarithmique obtenus dans [20] pour des convolutions de la mesure de Gauss et des mesures de probabilité à support compact. D'autre part, il est bien connu que l'inégalité de Sobolev logarithmique pour µ * ν implique ν(e ε|•| 2 ) < ∞ pour quelque ε > 0.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

School Mathematics Textbooks in China

Wang¹

2015

East China Normal University Scientific Reports

View full text Add to dashboard Cite

show abstract

“…Also, it can serve a useful role as a resource in some tasks that are otherwise impossible, even in the absence of the entanglement. These include detection of quantum phase transitions [16], remote state preparation for quantum information processing [17], assisted optimal state discrimination [18], secure quantum key distribution in quantum cryptography [19,20], noisy protocols in quantum communication [21], interferometric schemes in quantum metrology [22][23][24], and (micro-and nanoscale) heat flow control in quantum thermodynamics [25,26].…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum orbital correlations in molecular electronic states

Pusuluk

Torun

et al. 2022

New J. Phys.

View full text Add to dashboard Cite

The quantum superposition principle has been extensively utilized in the quantum mechanical description of bonding phenomenon. It explains the emergence of delocalized molecular orbitals and provides a recipe for the construction of near-exact electronic wavefunctions. On the other hand, its existence in composite systems may give rise to nonclassical correlations that are regarded as a resource in quantum technologies. Here, we approach the electronic ground states of three prototypical molecules in the light of the framework set by fermionic information theory. By introducing the notion of orbital discord, we additively decompose the pairwise orbital correlations into their classical and quantum parts in the presence of superselection rules. We observe that quantum orbital correlations can be stronger than classical orbital correlations though not often. Moreover, quantum orbital correlations can survive even in the absence of orbital entanglement depending on the symmetries of the constituent orbitals. Finally, we demonstrate that orbital entanglement would be underestimated if the orbital density matrices were treated as qubit states.

show abstract

Controlled Cyclic and Bidirectional Hybrid Quantum Communication of Arbitrary Two‐Qubit States

Gong,

Chen,

et al. 2024

Adv Quantum Tech

View full text Add to dashboard Cite

Hybrid quantum communication with the combination of quantum teleportation and remote preparation is hopeful for promoting the development of quantum networks and enriching the diversity of quantum network communication. To improve the communication efficiency and enhance the scalability of the quantum networks, a meaningful protocol for controlled cyclic and bidirectional hybrid quantum communication of arbitrary two‐qubit states is proposed, which allows quantum information to be transmitted simultaneously in both directions among multiple participants. With the permission of one controller, each observer can simultaneously transmit arbitrary known two‐qubit states and unknown ones to their adjacent observers, by implementing remote preparation and quantum teleportation in the clockwise and counterclockwise directions. Furthermore, the participants just carry out some quantum measurements and recovery operations to achieve the communication target, and the desired states can be attained with a unit success probability, thus the protocol is deterministic. Finally, some comparisons are also made with other similar protocols, which shows that the protocol is better in qubit efficiency and communication capacity.

show abstract

Quantum network coding utilizing quantum discord resource fully

Cited by 8 publications

References 28 publications

School Mathematics Textbooks in China

School Mathematics Textbooks in China

Classical and quantum orbital correlations in molecular electronic states

Controlled Cyclic and Bidirectional Hybrid Quantum Communication of Arbitrary Two‐Qubit States

Contact Info

Product

Resources

About