scholarly journals Mixed-state entanglement and quantum teleportation through noisy channels

2008 ◽  
Vol 41 (38) ◽  
pp. 385302 ◽  
Author(s):  
Eylee Jung ◽  
Mi-Ra Hwang ◽  
DaeKil Park ◽  
Jin-Woo Son ◽  
Sayatnova Tamaryan
2012 ◽  
Vol 12 (3&4) ◽  
pp. 253-261
Author(s):  
Satyabrata Adhikari ◽  
Indranil Chakrabarty ◽  
Pankaj Agrawal

In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the qubits are distributed over noisy channels. We focus on a specific noisy channel, the phase-damping channel. We propose a protocol for secret sharing of classical information with this and related noisy channels. This protocol can also be thought of as cooperative superdense coding. We also discuss other noisy channels to examine the possibility of secret sharing of classical information.


2010 ◽  
Vol 10 (5&6) ◽  
pp. 398-419
Author(s):  
S. Adhikari ◽  
A.S. Majumdar ◽  
S. Roy ◽  
B. Ghosh ◽  
N. Nayak

We study the efficiency of two-qubit mixed entangled states as resources for quantum teleportation. We first consider two maximally entangled mixed states, viz., the Werner state\cite{werner}, and a class of states introduced by Munro {\it et al.} \cite{munro}. We show that the Werner state when used as teleportation channel, gives rise to better average teleportation fidelity compared to the latter class of states for any finite value of mixedness. We then introduce a non-maximally entangled mixed state obtained as a convex combination of a two-qubit entangled mixed state and a two-qubit separable mixed state. It is shown that such a teleportation channel can outperform another non-maximally entangled channel, viz., the Werner derivative for a certain range of mixedness. Further, there exists a range of parameter values where the former state satisfies a Bell-CHSH type inequality and still performs better as a teleportation channel compared to the Werner derivative even though the latter violates the inequality.


2014 ◽  
Vol 14 (13&14) ◽  
pp. 1227-1237
Author(s):  
K.G. Paulson ◽  
S.V.M. Satyanarayana

Mixed entangled states are generic resource for quantum teleportation. Optimal teleportation fidelity measures the success of quantum teleportation. The relevance of rank in the teleportation process is investigated by constructing three new maximally entangled mixed states (MEMS) of different ranks. Linear entropy, concurrence, optimal teleportation fidelity and Bell function are obtained for each of these states analytically. It is found that mixed states with higher rank are better resource for teleportation. In order to achieve a fixed value of optimal teleportation fidelity, we find that low rank states must have high concurrence. Further, for each of ranks 2, 3 and 4, we numerically generate 30000 maximally entangled mixed states. The analysis of these states reveals the existence of a rank dependent upper bound on optimal teleportation fidelity for a fixed purity. In order to achieve a fixed optimal teleportation fidelity, we find MEMS exhibit a rank dependent lower bound on concurrence. MEMS are classified in terms of their degree of nonlocality. The results are found to be same with logarithmic negativity used as a measure of entanglement.


2008 ◽  
Vol 78 (1) ◽  
Author(s):  
Eylee Jung ◽  
Mi-Ra Hwang ◽  
You Hwan Ju ◽  
Min-Soo Kim ◽  
Sahng-Kyoon Yoo ◽  
...  

2013 ◽  
Vol 12 (8) ◽  
pp. 2671-2687 ◽  
Author(s):  
Hua-Qiu Liang ◽  
Jin-Ming Liu ◽  
Shang-Shen Feng ◽  
Ji-Gen Chen

2011 ◽  
Vol 09 (03) ◽  
pp. 937-946 ◽  
Author(s):  
NASSER METWALLY

The entanglement of atomic system consisting of two atoms interacting with a deformed cavity mode is quantified by the means of Bloch vectors and the cross dyadic of the traveling state inside the cavity. For large value of the deformation, the amplitude of Bloch vectors decrease very fast and consequently, the traveling state turns into mixed state quickly. The generated entangled state is used as quantum channel to implement quantum teleportation protocol. It is shown that both the deformed parameter and the number of photons inside the cavity play a central role in controlling the fidelity of the transmitted information.


2014 ◽  
Vol 13 (8) ◽  
pp. 1789-1811 ◽  
Author(s):  
Pakhshan Espoukeh ◽  
Pouria Pedram

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