scholarly journals Can We Entangle Entanglement?

2021 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Quantum Teleportation ◽  
Entangled States ◽  
Controlled Teleportation ◽  
Xy Model ◽  
Graph States ◽  
Ghz States ◽  
Remote Locations ◽  
Potential Applications ◽  
Fractal Network ◽  
Qubit States

In this chapter, nested multilevel entanglement is formulated and discussed in terms of Matryoshka states. The generation of such states that contain nested patterns of entanglement, based on an anisotropic XY model has been proposed. Two classes of multilevel-entanglement- the Matryoshka Q-GHZ states and Matryoshka generalised GHZ states, are studied. Potential applications of such resource states, such as for quantum teleportation of arbitrary one, two and three qubits states, bidirectional teleportation of arbitrary two qubit states and probabilistic circular controlled teleportation are proposed and discussed, in terms of a Matryoshka state over seven qubits. We also discuss fractal network protocols, surface codes and graph states as well as generation of arbitrary entangled states at remote locations in this chapter.

scholarly journals Generation and Application of Nested Entanglement in Matryoshka Quantum Resource-States

2020 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Quantum Teleportation ◽  
Quantum Information Processing ◽  
Quantum States ◽  
Bell States ◽  
Controlled Teleportation ◽  
Multipartite Entanglement ◽  
Spin Interaction ◽  
State Generation ◽  
Qubit States ◽  
Resource State

Multipartite entanglement is a resource for application in disparate protocols, of computing, communication and cryptography. Nested entanglement provides resource-states for quantum information processing. In this paper, Matryoshka quantum resource-states, which contain nested entanglement patterns, has been studied. A novel scheme for the generation of such quantum states has been proposed using an anisotropic XY spin-spin interaction-based model. The application of the Matryoshka GHZ-Bell states for n-qubit teleportation is reviewed and an extension to more general Matryoshka ExhS-Bell states is posited. An example of Matryoshka ExhS-Bell states is given in the form of the genuinely entangled seven-qubit Xin-Wei Zha state. Generation, characterisation and application of this seven-qubit resource state in theoretical schemes for quantum teleportation of arbitrary one, two and three qubits states, bidirectional teleportation of arbitrary two qubit states and probabilistic circular controlled teleportation are presented.

An Improved Ping-Pong Protocol Using Three-Qubit Nonmaximally Nonorthogonal Entangled States

2019 ◽  
Vol 74 (9) ◽  
pp. 799-811
Author(s):  
Hargeet Kaur ◽  
Atul Kumar
Keyword(s):  
Information Transfer ◽  
Orthogonal Basis ◽  
Basis Set ◽  
Entangled States ◽  
Ghz States ◽  
Ping Pong ◽  
Orthogonal Set ◽  
Qubit States ◽  
Single Receiver ◽  
Qubit Efficiency

AbstractWe analyse the ping-pong (PP) protocol [K. Bostrom and T. Felbinger, Phys. Rev. Lett. 89, 187902 (2002)] using different sets of partially entangled three-qubit states. Interestingly, our results show that the partially entangled nonorthogonal three-qubit states are more useful as resources in comparison to three-qubit maximally entangled Greenberger–Horne–Zeilinger (GHZ) states. The properties of orthogonal set of partially entangled states as resources for PP protocol, however, are similar to that of maximally entangled GHZ states – both the states are not preferable due to the vulnerability towards eavesdropping. On the other hand, partially entangled nonorthogonal basis set holds importance for transferring two-bit information, one each from a sender, to a single receiver. The protocol is further analysed for various eavesdropping attacks, and the results are compared with the use of two shared Bell pairs for two-bit information transfer. Surprisingly, the use of partially entangled nonorthogonal set of states is found to offer better qubit efficiency and increased security, as against the use of two separate maximally entangled Bell states with orthogonal basis. In addition, we also propose a mixed-state sharing protocol to further enhance the security of the PP protocol.

scholarly journals Linear, Bidirectional and Circular Controlled Quantum Teleportation and Quantum State Sharing using a Seven Qubit Genuinely Entangled State

2020 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Quantum State ◽  
Quantum Teleportation ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Multipartite Entanglement ◽  
Quantum State Sharing ◽  
Controlled Quantum Teleportation ◽  
Qubit States ◽  
Resource State

Multipartite entanglement is a resource for application in disparate protocols, of computing, communication and cryptography. In this paper, generation, characterisation and application of a genuine genuinely entangled seven-qubit resource state is studied. Theoretical schemes for quantum teleportation of arbitrary one, two and three qubits states, bidirectional teleportation of arbitrary two qubit states and probabilistic circular controlled teleportation as well as three schemes for undertaking tripartite quantum state sharing are presented.

scholarly journals Multi-partite quantum cryptographic protocols with noisy GHZ states

2007 ◽  
Vol 7 (8) ◽  
pp. 689-715
Author(s):  
K. Chen ◽  
H.-K. Lo
Keyword(s):  
Bipartite Graph ◽  
Wide Class ◽  
Key Agreement ◽  
Bell Inequalities ◽  
Cryptographic Protocols ◽  
Entangled States ◽  
Threshold Values ◽  
Initial State ◽  
Graph States ◽  
Ghz States

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph states. We then apply our distillation schemes to the tri-partite case for three cryptographic tasks---namely, (a) conference key agreement, (b) quantum sharing of classical secrets and (c) third-man cryptography. Moreover, we construct ``prepare-and-measure'' protocols for the above three cryptographic tasks which can be implemented with the generation of only a single entangled pair at a time. This gives significant simplification over previous experimental implementations which require two entangled pairs generated simultaneously. We also study the yields of those protocols and the threshold values of the fidelity above which the protocols can function securely. Rather surprisingly, our protocols will function securely even when the initial state does not violate the standard Bell-inequalities for GHZ states.

scholarly journals Optimal two-qubit states for quantum teleportation vis-à-vis state properties

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Arkaprabha Ghosal ◽  
Debarshi Das ◽  
Saptarshi Roy ◽  
Somshubhro Bandyopadhyay
Keyword(s):  
Quantum Teleportation ◽  
Qubit States

Symmetric and asymmetric cyclic controlled quantum teleportation via nine-qubit entangled state

2021 ◽  
pp. 2150249
Author(s):  
Vikram Verma
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
Quantum States ◽  
Entangled State ◽  
Controlled Quantum Teleportation ◽  
Intrinsic Efficiency ◽  
Qubit States ◽  
Generalized Scheme

In this paper, by utilizing a nine-qubit entangled state as a quantum channel, we propose new schemes for symmetric and asymmetric cyclic controlled quantum teleportation (CYCQT). In our proposed schemes, four participants Alice, Bob, Charlie and David teleport their unknown quantum states cyclically among themselves with the help of a controller Eve. No participants can reconstruct the original states sent from the respective senders without the permission of the controller. Also, by considering same nine-qubit entangled state as a quantum channel, we propose a generalized scheme for CYCQT of multi-qubit states. In contrast to the previous CYCQT schemes involving three communicators and a controller, there are four communicators and a controller in the proposed schemes. Also, compared with previous CYCQT schemes, our proposed CYCQT schemes require less consumption of quantum resource and the intrinsic efficiency of the generalized scheme increases with the increase of number of qubits in the information states.

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