scholarly journals Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase damping and amplitude damping noise channels

Pramana ◽  
2020 ◽  
Vol 94 (1) ◽  
Author(s):  
Harpreet Singh ◽  
Arvind ◽  
Kavita Dorai
2019 ◽  
Vol 198 ◽  
pp. 00015
Author(s):  
Kapil K. Sharma ◽  
Swaroop Ganguly

In the present paper, we study spin squeezing under decoherence in the superposition of tripartite maximally entangled GHZ and W states. Here we use amplitude damping, phase damping and depolarisation channel. We have investigated the dynamics of spin squeezing with the interplay of super-position and decoherence parameters with different directions of the mean spin vector. We have found the mixture of GHZ and W states is robust against spin squeezing generation for amplitude damping and phase damping channels for certain directions of the mean spin vector. However, the depolarisation channel performs well for spin squeezing generation and generates permanent spin squeezing in the superposition of GHZ and W states.


2014 ◽  
Vol 20 (1) ◽  
pp. 35-39
Author(s):  
廖庆洪 LIAO Qing-hong ◽  
刘欣 LIU Xin ◽  
刘树田 LIU Shu-tian

2016 ◽  
Vol 66 (2) ◽  
pp. 186 ◽  
Author(s):  
Vishal Sharma

<p>Entanglement is an important resource for various applications of quantum computation. Another important endeavor is to establish the role of entanglement in practical implementation where system of interest is affected by various kinds of noisy channels. Here, a single classical bit is used to send information under the influence of a noisy quantum channel. The entanglement content of quantum states is computed under noisy channels such as amplitude damping, phase damping, squeesed generalised amplitude damping, Pauli channels and various collective noise models on the protocols of quantum key distribution.</p><p> </p>


2016 ◽  
Vol 14 (07) ◽  
pp. 1650034 ◽  
Author(s):  
Babatunde James Falaye ◽  
Guo-Hua Sun ◽  
Oscar Camacho-Nieto ◽  
Shi-Hai Dong

We present a scheme for joint remote state preparation (JRSP) of three-particle state via three tripartite Greenberger–Horne–Zeilinger (GHZ) entangled states as the quantum channel linking the parties. We use eight-qubit mutually orthogonal basis vector as measurement point of departure. The likelihood of success for this scheme has been found to be [Formula: see text]. However, by putting some special cases into consideration, the chances can be ameliorated to [Formula: see text] and 1. The effects of amplitude-damping noise, phase-damping noise and depolarizing noise on this scheme have been scrutinized and the analytical derivations of fidelities for the quantum noisy channels have been presented. We found that for [Formula: see text], the states conveyed through depolarizing channel lose more information than phase-damping channel while the information loss through amplitude damping channel is most minimal.


2009 ◽  
Vol 19 (4) ◽  
Author(s):  
Nguyen Ba An

We present a detailed analysis on disentanglement dynamics of multiqubit GHZ-type states whose qubits are remotely located in absence of any mutual interactions. The dynamics is thus induced by independent local environments surrounding each qubit. It has recently been known that if each qubit is subjected solely to the phase damping then the state's entanglement vanishes asymptotically in time and if only the amplitude damping is active then the state's entanglement may vanish suddenly in certain parameter subspace. In this paper, we shall show that a combined action of both the phase damping and the amplitude damping will force the state's entanglement to always vanish suddenly in the entire parameter space. Furthermore, we shall prove that by proper local operations such a finite-time disentanglement can be avoided for whatever state's parameters, no matter the phase damping and the amplitude damping act severally or in combination.


2014 ◽  
Vol 92 (3) ◽  
pp. 230-235
Author(s):  
Jian-Song Zhang ◽  
Ai-Xi Chen

We propose methods to calculate non-Markovianity of four typical single qubit channels including flip (bit-flip, phase-flip, and bit-phase flip channels), depolarizing, phase damping, and amplitude damping channels analytically. Explicit expressions of non-Markovianity for some single qubit channels are obtained. For general channels we propose the Euler parametrization representation of quantum states to calculate non-Markovianity numerically.


2002 ◽  
Vol 16 (01n02) ◽  
pp. 19-25 ◽  
Author(s):  
XIAN-TING LIANG

The minimal entanglement fidelities of the phase damping channel, depolarizing channel, two-Pauli channel and amplitude damping channel are calculated. It is shown that for the same condition, the minimal fidelity of the phase damping channel is the biggest among the four channels. The minimal fidelity of the depolarizing channel is bigger than the other two.


2018 ◽  
Vol 18 (11&12) ◽  
pp. 975-987
Author(s):  
Ming-Ming Wang ◽  
Zhi-Guo Qu

Quantum communication provides a new way for transmitting highly sensitive information. But the existence of quantum noise inevitably affects the security and reliability of a quantum communication system. The technique of weak measurement and its reversal measurement (WMRM) has been proposed to suppress the effect of quantum noise, especially, the amplitude-damping noise. Taking a GHZ based remote state preparation (RSP) scheme as an example, we discuss the effect of WMRM for suppressing four types of quantum noise that usually encountered in real-world, i.e., not only the amplitude-damping noise, but also the bit-flip, phase-flip (phase-damping) and depolarizing noise. And we give a quantitative study on how much a quantum output state can be improved by WMRM in noisy environment. It is shown that the technique of WMRM has certain effect for improving the fidelity of the output state in the amplitude-damping noise, and only has little effect for suppressing the depolarizing noise, while has no effect for suppressing the bit-flip and phase-flip (phase-damping) noise. Our result is helpful for improving the efficiency of entanglement-based quantum communication systems in real implementation.


2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 378 ◽  
Author(s):  
S. Ahadpour ◽  
F. Mirmasoudi

In quantum information theory, effects of quantum noise on teleportation are undeniable. Hence,we investigate the effect of noisy channels including amplitude damping, phase damping, depolarizing and phase ip on the teleported state between Alice and Bob where they share an entangled state by using atom-eld interaction state. We analyze the delity and quantum correlations as a function of decoherence rates and time scale of a state to be teleported. We observe that the average delityand quantum correlations accurately depend on types of noise acting on quantum channels. It is found that atom-eld interaction states are affected by amplitude damping channel are more useful for teleportation than when the shared qubites are affected by noisy channels such as AD channel and phase ip. We also observe that if the quantum channels is subject to phase ip noise, the average delity reproduces initial quantum correlations to possible values. On the other hand,not only all the noisy quantum channels do not always destroy average delity but also they can yield the highest delity in noisy conditions. In the current demonstration, our results provide that the average delity can have larger than 2/3 in front of the noise of named other channels with increasing decoherenc strength. Success in quantum states transfer in the present noise establishes the important of studing noisy channels.


2013 ◽  
Vol 12 (04) ◽  
pp. 1350025 ◽  
Author(s):  
M. RAMZAN ◽  
M. K. KHAN

The effect of entanglement and correlated noise in a four-player quantum Minority game (QMG) is investigated. Different time correlated quantum memory channels are considered to analyze the Nash equilibrium (NE) payoff of the first player. It is seen that the NE payoff is substantially enhanced due to the presence of correlated noise. The behavior of damping channels (amplitude damping (AD) and phase damping) is approximately similar. However, bit-phase flip channel heavily influences the Minority game as compared to other channels in the presence of correlated noise. On the other hand, phase flip channel has a symmetrical behavior around 50% noise threshold. The significant reduction in payoffs due to decoherence is well compensated due to the presence of correlated noise. However, the NE of the game does not change in the presence of noise. It is seen that in case of generalized AD channel, entanglement plays a significant role at lower level of decoherence. The channel has less dominant effects on the payoff at higher values of decoherence. Furthermore, AD and generalized amplitude damping channels have almost comparable effects at lower level of decoherence (p < 0.5). Therefore, the game deserves careful study during its implementation due to prominent role of noise for different channels.


Sign in / Sign up

Export Citation Format

Share Document