Quantum deleting and cloning in a pseudo-unitary system

Chen, Yu‐Cheng; Gong, Ming; Xue, Peng; Yuan, Haidong; Zhang, Chengjie

doi:10.1007/s11467-021-1063-z

Cited by 11 publications

(10 citation statements)

References 41 publications

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“…But the most dangerous attack is the one which exploits any vulnerability to access the controller and thus destroys the entire network. of the transferred quantum, both of party will discover an eavesdropper presence on the communication channel based on the rules of the mechanics of quantum and the no-cloning theorem [12]. Several researchers have presented work on using quantum protocols to achieve key distribution instead of using traditional cryptographic methods (e.g., RSA), where Czermann, Márton et al [13] demonstrated the successful distribution of quantum keys using the BB84 protocol in practice on a fiber-optic system.…”

Section: Related Workmentioning

confidence: 99%

“…In our work, the hybrid key was used to achieve authentication between the two parties at two levels in addition to using it to encrypt the channel. First Level: through the classical methods using exchange of certificates between the two parties while the second level: physical authentication through the quantum channel of QKD protocol and exploiting of the physical properties of quantum [12]. Therefore, It can be said that this study has achieved more secure authentication between the control plane and the data plane in SDN as well as between the virtualization layer and control layer in NS addition to secure the communication channel between the data layer and the virtualization layer.…”

Section: Security Analysismentioning

confidence: 99%

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Enhanced Security of Software-defined Network and Network Slice Through Hybrid Quantum Key Distribution Protocol

Mahdi¹,

Abdullah²

2022

Infocommunications journal

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Software-defined networking (SDN) has revolutionized the world of technology as networks have become more flexible, dynamic and programmable. The ability to conduct network slicing in 5G networks is one of the most crucial features of SDN implementation. Although network programming provides new security solutions of traditional networks, SDN and network slicing also have security issues, an important one being the weaknesses related to openflow channel between the data plane and controller as the network can be attacked via the openflow channel and exploit communications with the control plane. Our work proposes a solution to provide adequate security for openflow messages through using a hybrid key consisting of classical and quantum key distribution protocols to provide double security depending on the computational complexity and physical properties of quantum. To achieve this goal, the hybrid key used with transport layer security protocol to provide confidentiality, integrity and quantum authentication to secure openflow channel. We experimentally based on the SDN-testbed and network slicing to show the workflow of exchanging quantum and classical keys between the control plane and data plane and our results showed the effectiveness of the hybrid key to enhance the security of the transport layer security protocol. Thereby achieving adequate security for openflow channel against classical and quantum computer attacks.

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Section: Related Workmentioning

confidence: 99%

Section: Security Analysismentioning

confidence: 99%

Enhanced Security of Software-defined Network and Network Slice Through Hybrid Quantum Key Distribution Protocol

Mahdi¹,

Abdullah²

2022

Infocommunications journal

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“…In order to define a ground-state or excited states as Hermitian systems [95][96][97][98][99][100], we assume all the eigenvalues are real, E i (λ) = E * i (λ), which is possible when the system has a special symmetry. For instance, in parity-time (PT) symmetric non-Hermitian systems, the energy spectra are real in the PT symmetry unbroken regime [95][96][97][98][99][100]. It is well known that the Hamiltonian H(λ) can be diagonalized as…”

Section: Perturbation Theorymentioning

confidence: 99%

Biorthogonal quantum criticality in non-Hermitian many-body systems

2021

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We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising chain is investigated by the second derivative of the ground-state energy and the ground-state fidelity susceptibility. We show that the system undergoes a secondorder phase transition with the Ising universal class by numerically computing the critical points and the critical exponents from the finite-size scaling theory. Interestingly, our results indicate that the biorthogonal quantum phase transitions are described by the biorthogonal fidelity susceptibility instead of the conventional fidelity susceptibility.

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“…Over the years, pseudo-unitary quantum mechanics grew fast from the interest in pseudo-Hermitian Hamiltonians [1]: in the early 2000 to describe PT-symmetric quantum systems [2], and recently to simulate and experiment pseudo-unitary quantum cloning and quantum deletion in optical circuits ( [3], [4]). Furthermore, controlling Hilbert-space inner products [5] for fast quantum algorithms in PT-symmetric systems ( [6], [7]) is a direct implication of knowing to manipulate pseudo-unitary groups.…”

Section: Introductionmentioning

confidence: 99%

Metric walk in matrix formalism across $η$-pseudo-unitary groups in the S-matrix framework

Lima¹

2023

Preprint

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Pseudo-unitary circuits are silently recurrent in S-matrix theory. We propose a matrix and diagrammatic representation for the operation that maps S-matrices to T-matrices, and consequently a unitary group to a pseudo-unitary one. We call this operation partial inversion and show its diagrammatic representation in terms of permutations. We find the expressions for the deformed metrics and deformed dot products that preserve physical constraints after partial inversion. Subsequently, we define a special set that allows for the simplification of expressions containing infinities in matrix inversion. Finally, we proposed a renormalizedgrowth algorithm for the T-matrix as a possible application. Our studies furnish all the tools needed to build a family of pseudo-unitary and inter-pseudo-unitary circuits with full diagrammatic representation in three dimensions.

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Quantum deleting and cloning in a pseudo-unitary system

Cited by 11 publications

References 41 publications

Enhanced Security of Software-defined Network and Network Slice Through Hybrid Quantum Key Distribution Protocol

Enhanced Security of Software-defined Network and Network Slice Through Hybrid Quantum Key Distribution Protocol

Biorthogonal quantum criticality in non-Hermitian many-body systems

Metric walk in matrix formalism across $η$-pseudo-unitary groups in the S-matrix framework

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