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.

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.

Multi-hop teleportation of N-qubit state via Bell states

2021 ◽  
Vol 36 (08) ◽  
pp. 2150053
Author(s):  
Negin Fatahi
Keyword(s):  
Quantum Teleportation ◽  
Large Scale ◽  
Quantum States ◽  
Qubit State ◽  
Bell States ◽  
Quantum Channels ◽  
Single Qubit ◽  
Qubit States

Multi-hop teleportation is a quantum teleportation scheme for transferring quantum states on a large scale. In this paper, a new multi-hop teleportation protocol is investigated for transferring arbitrary N-qubit states between M-neighbor nodes. In this scheme, intermediate nodes are connected with each other by symmetric entangled Bell states as quantum channels. First, one-hop teleportation of single-qubit, two-qubit and N-qubit states are introduced, then this method is generalized to two-hop and multi-hop teleportation for N-qubit. Also, we calculate the efficiency of this scheme.

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.

Four-directional quantum controlled teleportation using a single quantum resource

2020 ◽  
Vol 34 (35) ◽  
pp. 2050412
Author(s):  
Xin-Wei Zha ◽  
Ke Li
Keyword(s):  
Information Transmission ◽  
Quantum State ◽  
Quantum Teleportation ◽  
Unitary Transformation ◽  
Quantum States ◽  
Controlled Teleportation ◽  
Single Quantum ◽  
State Information ◽  
Information State ◽  
Entanglement Property

In this paper, a quantum teleportation protocol has been proposed that can simultaneously transmit quantum states in four directions using a single entangled channel. This means that there are four senders who want to transmit state information, and they are Alice, Bob, Charlie, and David. In order to ensure the security of information transmission, the information state of the four is transmitted to four receivers Fancy1, Fancy2, Fancy3, and Fancy4 under the control of the controller Elle. Through unitary transformation and entanglement property, receivers can recover the original quantum state from the four senders, which is easy to implement. The teleportation protocol is perfect.

scholarly journals The role of localizable concurrence in quantum teleportation protocols

2021 ◽  
Vol 19 (05) ◽  
Author(s):  
Mirko Consiglio ◽  
Louis Zammit Mangion ◽  
Tony John George Apollaro
Keyword(s):  
Quantum Teleportation ◽  
Quantum Information Processing ◽  
Bell State ◽  
Multipartite Entanglement ◽  
Bell Measurement ◽  
Classical Counterpart ◽  
Entanglement Measures ◽  
Classical Protocol ◽  
Better Than

Teleporting an unknown qubit state is a paradigmatic quantum information processing task revealing the advantage of quantum communication protocols over their classical counterpart. For a teleportation protocol using a Bell state as quantum channel, the resource has been identified to be the concurrence. However, for mixed multipartite states the lack of computable entanglement measures has made the identification of the quantum resource responsible for this advantage more challenging. Here, by building on previous results showing that localizable concurrence is the necessary resource for controlled quantum teleportation, we show that any teleportation protocol using an arbitrary multipartite state, that includes a Bell measurement, requires a nonvanishing localizable concurrence between two of its parties to perform better than the classical protocol. By first analyzing Greenberger–Horne–Zeilinger (GHZ) channel and GHZ measurement teleportation protocol, in the presence of GHZ-symmetric-preserving noise, we compare different multipartite entanglement measures with the fidelity of teleportation, and we find that the protocol performs better than the classical protocol when all multipartite entanglement measures vanish, except for the localizable concurrence. Finally, we extend our proof to an arbitrary teleportation protocol with an arbitrary multipartite entangled channel.

scholarly journals Chip-to-Chip High-Dimensional Teleportation via A Quantum Autoencoder

2021 ◽  
Author(s):  
Hui Zhang ◽  
Lingxiao Wan ◽  
Tobias Haug ◽  
Wai-Keong Mok ◽  
Hong Cai ◽  
...  
Keyword(s):  
Machine Learning ◽  
Quantum Teleportation ◽  
Quantum Information Processing ◽  
Quantum Computer ◽  
Bell State ◽  
Dimensional Subspace ◽  
Learning Technologies ◽  
Quantum States ◽  
High Dimensional ◽  
Initial State

Abstract Quantum teleportation transfers unknown quantum states from one node in a quantum network to another. It is one of the crucial architectures in quantum information processing. The teleportation of high-dimensional quantum states remains challenging due to the difficulties in executing high-dimensional Bell state measurement. Here, we propose a Quantum Autoencoder-Facilitated Teleportation (QAFT) protocol for high-dimensional quantum teleportation, and report the first demonstration of QAFT on qutrits using an integrated photonic platform for future scalability. The key strategy is to reduce the dimension of the input states by erasing redundant information and reconstruct its initial state after chip-to-chip teleportation. Machine learning is applied in training the autoencoder to facilitate the teleportation of any state from a particular high-dimensional subspace and achieve the reconstruction of the unknown state (by the decoder) with high fidelities (~ 0.971). Experimentally, we teleport unknown qutrits by generating, transferring and manipulating photons, and training quantum autoencoders on a silicon chip. A teleportation fidelity of ~ 0.894 is demonstrated. Our scheme opens pathway towards quantum internet and cryptography to transfer unmeasured states in a quantum computer. It also lays the groundwork for machine learning technologies in quantum networks and quantum computations.

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 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

CONTROLLED TELEPORTATION OF ELECTRON SPIN STATE IN QUANTUM DOT VIA SINGLE PHOTON

2008 ◽  
Vol 06 (03) ◽  
pp. 553-560
Author(s):  
YAN-WEI WANG ◽  
MING-FENG WANG ◽  
YI-ZHUANG ZHENG
Keyword(s):  
Quantum Dots ◽  
Quantum Dot ◽  
Electron Spin ◽  
Spin State ◽  
Faraday Rotation ◽  
Quantum Teleportation ◽  
Single Photon ◽  
Controlled Teleportation ◽  
Controlled Quantum Teleportation ◽  
Qubit System

A controlled quantum teleportation scheme of electron spin state in a quantum dot is proposed. With the entanglement generating through the interaction between the quantum dots in microcavities and a single photon, the controlled teleportation can be implemented using Faraday rotation and single photon measurements. The scheme can be easily generalized to multi-qubit system.

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