scholarly journals Graph Approach to Quantum Teleportation Dynamics

2020 ◽  
Vol 2 (3) ◽  
pp. 352-377
Author(s):  
Efrén Honrubia ◽  
Ángel S. Sanz
Keyword(s):  
Quantum Information ◽  
Quantum Teleportation ◽  
Entangled States ◽  
Quantum Channels ◽  
Qubit System ◽  
Alternative Approaches ◽  
Maximally Entangled States ◽  
Usual State ◽  
Vector Description ◽  
Direct Correspondence

Quantum teleportation plays a key role in modern quantum technologies. Thus, it is of much interest to generate alternative approaches or representations that are aimed at allowing us a better understanding of the physics involved in the process from different perspectives. With this purpose, here an approach based on graph theory is introduced and discussed in the context of some applications. Its main goal is to provide a fully symbolic framework for quantum teleportation from a dynamical viewpoint, which makes explicit at each stage of the process how entanglement and information swap among the qubits involved in it. In order to construct this dynamical perspective, it has been necessary to define some auxiliary elements, namely virtual nodes and edges, as well as an additional notation for nodes describing potential states (against nodes accounting for actual states). With these elements, not only the flow of the process can be followed step by step, but they also allow us to establish a direct correspondence between this graph-based approach and the usual state vector description. To show the suitability and versatility of this graph-based approach, several particular teleportation examples are examined in detail, which include bipartite, tripartite, and tetrapartite maximally entangled states as quantum channels. From the analysis of these cases, a general protocol is devised to describe the sharing of quantum information in presence of maximally entangled multi-qubit system.

USEFULNESS CLASSES OF TRAVELING ENTANGLED CHANNELS IN NONINERTIAL FRAMES

2013 ◽  
Vol 27 (28) ◽  
pp. 1350155 ◽  
Author(s):  
N. METWALLY
Keyword(s):  
Pure State ◽  
Quantum Teleportation ◽  
The Self ◽  
Entangled States ◽  
Quantum Channels ◽  
Werner State ◽  
Qubit System ◽  
Pure States

The dynamics of a general two qubit system in a noninetrial frame is investigated analytically, where it is assumed that both of its subsystems are differently accelerated. Two classes of initial traveling states are considered: self-transposed and generic pure states. The entanglement contained in all possible generated entangled states between the qubits and their anti-qubits is quantified. The usefulness of the traveling states as quantum channels to perform quantum teleportation is investigated. For the self-transposed classes, it is shown that the generalized Werner state is the most robust class and starting from a class of pure state, one can generate entangled states more robust than self-transposed classes.

scholarly journals Probabilistic Resumable Quantum Teleportation of a Two-Qubit Entangled State

Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 352 ◽  
Author(s):  
Zhan-Yun Wang ◽  
Yi-Tao Gou ◽  
Jin-Xing Hou ◽  
Li-Ke Cao ◽  
Xiao-Hui Wang
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
The State ◽  
Entangled States ◽  
Entangled State ◽  
Quantum Channels ◽  
Unknown State ◽  
Optimal Probability

We explicitly present a generalized quantum teleportation of a two-qubit entangled state protocol, which uses two pairs of partially entangled particles as quantum channel. We verify that the optimal probability of successful teleportation is determined by the smallest superposition coefficient of these partially entangled particles. However, the two-qubit entangled state to be teleported will be destroyed if teleportation fails. To solve this problem, we show a more sophisticated probabilistic resumable quantum teleportation scheme of a two-qubit entangled state, where the state to be teleported can be recovered by the sender when teleportation fails. Thus the information of the unknown state is retained during the process. Accordingly, we can repeat the teleportion process as many times as one has available quantum channels. Therefore, the quantum channels with weak entanglement can also be used to teleport unknown two-qubit entangled states successfully with a high number of repetitions, and for channels with strong entanglement only a small number of repetitions are required to guarantee successful teleportation.

Generalized three-party sharing of operations on remote single qutrit

2014 ◽  
Vol 12 (03) ◽  
pp. 1450011 ◽  
Author(s):  
Pengfei Xing ◽  
Yimin Liu ◽  
Chuanmei Xie ◽  
Xiansong Liu ◽  
Zhanjun Zhang
Keyword(s):  
Success Probability ◽  
Entangled States ◽  
Entangled State ◽  
Quantum Channels ◽  
Channel State ◽  
Classical Communication ◽  
Maximally Entangled State ◽  
Quantum Operations ◽  
Local Operation ◽  
Maximally Entangled States

Two three-party schemes are put forward for sharing quantum operations on a remote qutrit with local operation and classical communication as well as shared entanglements. The first scheme uses a two-qutrit and three-qutrit non-maximally entangled states as quantum channels, while the second replaces the three-qutrit non-maximally entangled state with a two-qutrit. Both schemes are treated and compared from the four aspects of quantum and classical resource consumption, necessary-operation complexity, success probability and efficiency. It is found that the latter is overall more optimal than the former as far as a restricted set of operations is concerned. In addition, comparisons of both schemes with other four relevant ones are also made to show their two features, including degree generalization and channel-state generalization. Furthermore, some concrete discussions on both schemes are made to expose their important features of security, symmetry and experimental feasibility. Particularly, it is revealed that the success probabilities and intrinsic efficiencies in both schemes are completely determined by the shared entanglement.

Teleportation of unknown atomic entangled states via Greenberger–Horne–Zeilinger class states

2008 ◽  
Vol 86 (6) ◽  
pp. 849-851
Author(s):  
K -W Xiong
Keyword(s):  
Quantum Electrodynamics ◽  
Thermal Field ◽  
Cavity Quantum Electrodynamics ◽  
Entangled States ◽  
Quantum Channels ◽  
Cavity Decay ◽  
Maximally Entangled States

A physical scheme for teleporting unknown atomic entangled states via three-atom non-maximally entangled states is proposed in cavity quantum electrodynamics. In this scheme, the Greenberger–Horne–Zeilinger class states are used as quantum channels. The most distinct feature of our scheme is that, not only the effects of the cavity decay and thermal field are eliminated, but also the teleportation and distillation procedure can be realized simultaneously.PACS Nos.: 03.67.Hk, 03.67.Pp

Cyclic quantum teleportation of an unknown multi-particle high-dimension state

2020 ◽  
Vol 34 (05) ◽  
pp. 2050073
Author(s):  
Fan Wu ◽  
Ming-Qiang Bai ◽  
Yu-Chun Zhang ◽  
Ren-Ju Liu ◽  
Zhi-Wen Mo
Keyword(s):  
High Dimension ◽  
Quantum Teleportation ◽  
Bell State ◽  
Measurement Methods ◽  
Entangled States ◽  
Quantum Channels ◽  
State Measurement ◽  
Probabilistic Teleportation ◽  
Particle Measurement ◽  
Single Particle Measurement

In this paper, via 12-particle entangled states as quantum channels, two schemes for cyclic quantum teleportation are proposed by using two different measurement methods, one is the Bell state measurement, the other is single-particle measurement. Besides, these schemes can be generalized to realize the probabilistic teleportation of an unknown multi-particle high-dimension state. Furthermore, feasibility for the schemes and some conclusions are discussed at the end of this paper.

scholarly journals Entanglement May Enhance Channel Capacity in Arbitrary Dimensions

2006 ◽  
Vol 13 (04) ◽  
pp. 363-372 ◽  
Author(s):  
E. Karpov ◽  
D. Daems ◽  
N. J. Cerf
Keyword(s):  
Mutual Information ◽  
Channel Capacity ◽  
Space Dimension ◽  
Strong Dependence ◽  
Entangled States ◽  
Correlated Noise ◽  
Quantum Channels ◽  
Maximally Entangled States ◽  
Arbitrary Dimensions

We consider explicitly two examples of d-dimensional quantum channels with correlated noise and show that, in agreement with previous results on Pauli qubit channels, there are situations where maximally entangled input states achieve higher values of the output mutual information than product states. We obtain a strong dependence of this effect on the nature of the noise correlations as well as on the parity of the space dimension, and conjecture that when entanglement gives an advantage in terms of mutual information, maximally entangled states achieve the channel capacity.

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