Decoherence of GHZ state under three noisy channels in non-inertial frames

2021 ◽  
pp. 2150209
Author(s):  
Kwang-Il Kim ◽  
Myong Chol Pak ◽  
Son A Kim ◽  
Jin Ju Ri ◽  
Tae-Hyok Kim
Keyword(s):  
Ghz State ◽  
Noisy Environments ◽  
Tripartite Entanglement ◽  
Noisy Channels ◽  
Phase Damping ◽  
Inertial Frames ◽  
Bit Flip

In this paper, we investigate the decoherence of GHZ state under three noisy channels in non-inertial frames. The phase flip, the bit flip and the phase damping channels are considered as noisy channels, respectively. By using three-tangle [Formula: see text] as the measurement of entanglement, we numerically calculate the genuine tripartite entanglement of GHZ state under noisy environments in non-inertial frames. Unlike the case of phase damping channel, in the cases of the phase flip and the bit flip ones, we find that the effect of environment cannot only decay the genuine tripartite entanglement, but also revive it.

Robustness of multipartite entangled states for fermionic systems under noisy channels in non-inertial frames

2021 ◽  
Author(s):  
Kwang-Il Kim ◽  
Myong Chol Pak ◽  
Tae-Hyok Kim ◽  
Jong Chol Kim ◽  
Yong-Hae Ko ◽  
...  
Keyword(s):  
Bell States ◽  
Entangled States ◽  
Tripartite Entanglement ◽  
Noisy Channels ◽  
Ghz States ◽  
Phase Damping ◽  
Inertial Frames ◽  
Fermionic Systems ◽  
The Difference ◽  
Bit Flip

Abstract We investigate robustness of bipartite and tripartite entangled states for fermionic systems in non-inertial frames, which are under noisy channels. We consider two Bell states and two Greenberger-Horne-Zeilinger (GHZ) states, which possess initially the same amount of entanglement, respectively. By using genuine multipartite (GM) concurrence, we analytically derive the equations that determine the difference between the robustness of these locally unitarily equivalent states under the amplitude-damping channel. We find that tendency of the robustness for two GHZ states evaluated by using three-tangle τ and GM concurrence as measures of genuine tripartite entanglement is equal to each other. We also find that the robustness of two Bell states is equal to each other under the depolarizing, phase damping and bit flip channels, and that the same is true for two GHZ states.

ENTANGLEMENT-ASSISTED CLASSICAL CAPACITIES OF SOME SINGLE QUBIT QUANTUM NOISY CHANNELS

2002 ◽  
Vol 16 (12) ◽  
pp. 441-448 ◽  
Author(s):  
XIAN-TING LIANG ◽  
HONG-YI FAN
Keyword(s):  
Noisy Channels ◽  
Single Qubit ◽  
Phase Damping ◽  
Analytical Results ◽  
Bit Flip ◽  
Depolarizing Channel ◽  
Quantum Noisy Channels

In this paper, we calculate the entanglement-assisted classical capacities of the depolarizing channel, the phase damping channel, the phase flip channel, the bit flip channel, the bit-phase flip channel, the two-Pauli channel and the amplitude channel, and discuss the analytical results obtained. The Stokes papametrization representation of a qubit and the characteristic of unitary covariance of some quantum noisy channels are used in the calculations.

scholarly journals Analysis of Decoherence in Linear and Cyclic Quantum Walks

Optics ◽  
2021 ◽  
Vol 2 (4) ◽  
pp. 236-250
Author(s):  
Mahesh N. Jayakody ◽  
Asiri Nanayakkara ◽  
Eliahu Cohen
Keyword(s):  
Probability Distributions ◽  
Quantum Walks ◽  
Noisy Environments ◽  
Data Encoding ◽  
Phase Damping ◽  
Initial States ◽  
Binomial Transform ◽  
Bit Flip ◽  
Depolarizing Channel ◽  
Cyclic Path

We theoretically analyze the case of noisy Quantum walks (QWs) by introducing four qubit decoherence models into the coin degree of freedom of linear and cyclic QWs. These models include flipping channels (bit flip, phase flip and bit-phase flip), depolarizing channel, phase damping channel and generalized amplitude damping channel. Explicit expressions for the probability distribution of QWs on a line and on a cyclic path are derived under localized and delocalized initial states. We show that QWs which begin from a delocalized state generate mixture probability distributions, which could give rise to useful algorithmic applications related to data encoding schemes. Specifically, we show how the combination of delocalzed initial states and decoherence can be used for computing the binomial transform of a given set of numbers. However, the sensitivity of QWs to noisy environments may negatively affect various other applications based on QWs.

Probabilistic secret sharing through noise quantum channe

2012 ◽  
Vol 12 (3&4) ◽  
pp. 253-261
Author(s):  
Satyabrata Adhikari ◽  
Indranil Chakrabarty ◽  
Pankaj Agrawal
Keyword(s):  
Quantum Information ◽  
Secret Sharing ◽  
Mixed State ◽  
Pure State ◽  
Noisy Channel ◽  
Noisy Channels ◽  
Superdense Coding ◽  
Classical Information ◽  
Phase Damping ◽  
Realistic Situation

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.

Protection of tripartite entanglement in noisy channels

2016 ◽  
Author(s):  
Xiaowei Deng ◽  
Caixing Tian ◽  
Xiaolong Su ◽  
Changde Xie ◽  
Kunchi Peng
Keyword(s):  
Tripartite Entanglement ◽  
Noisy Channels

Dynamics of multi-qubit states in non-inertial frames for quantum communication applications

2014 ◽  
Vol 14 (3&4) ◽  
pp. 255-264
Author(s):  
Alaa Sagheer ◽  
Hala Hamdoun
Keyword(s):  
Degradation Rate ◽  
Quantum Communication ◽  
Ghz State ◽  
The Other ◽  
W State ◽  
Entangled States ◽  
Inertial Frames ◽  
Qubit States ◽  
Degree Of Entanglement ◽  
Accelerated Frames

In this paper, some properties of multi-qubit states traveling in non-inertial frames are investigated, where we assume that all particles are accelerated. These properties are including fidelities, capacities and entanglement of the accelerated channels for three different states, namely, Greeberger-Horne-Zeilinger (GHZ) state, GHZ-like state and W-state. It is shown here that all these properties are decreased as the accelerations of the moving particles are increased. The obtained results show that the GHZ-state is the most robust state comparing to the others, where the degradation rate is less than that for the other states particularly in the second Rindler region. Also, it is shown here that the entangled property doesn't change in the accelerated frames. Additionally, the paper shows that the degree of entanglement decreases as the accelerations of the particles increase in the first Rindler region. However in the second region, where all subsystems are disconnected at zero acceleration, entangled states are generated as the acceleration increases.

Robustness of two-qubit and three-qubit states in correlated quantum channels

2022 ◽  
Author(s):  
Zhan-Yun Wang ◽  
Feng-Lin Wu ◽  
Zhen-Yu Peng ◽  
Si-Yuan Liu
Keyword(s):  
Entangled States ◽  
Fragile States ◽  
Quantum Channels ◽  
Noisy Channels ◽  
Correlated Channels ◽  
Pure States ◽  
Bit Flip ◽  
Qubit States

Abstract We investigate how the correlated actions of quantum channels affect the robustness of entangled states. We consider the Bell-like state and random two-qubit pure states in the correlated depolarizing, bit flip, bit-phase flip, and phase flip channels. It is found that the robustness of two-qubit pure states can be noticeably enhanced due to the correlations between consecutive actions of these noisy channels, and the Bell-like state is always the most robust state. We also consider the robustness of three-qubit pure states in correlated noisy channels. For the correlated bit flip and phase flip channels, the result shows that although the most robust and most fragile states are locally unitary equivalent, they exhibit different robustness in different correlated channels, and the effect of channel correlations on them is also significantly different. However, for the correlated depolarizing and bit-phase flip channels, the robustness of two special three-qubit pure states is exactly the same. Moreover, compared with the random three-qubit pure states, they are neither the most robust states nor the most fragile states.

scholarly journals Tripartite entanglement and non-locality in three-qubit Greenberger–Horne–Zeilinger states with bit-flip noise

2019 ◽  
Vol 97 (3) ◽  
pp. 248-251 ◽  
Author(s):  
Jia-Qiang Zhao ◽  
Lian-Zhen Cao ◽  
Yang Yang ◽  
Ying-De Li ◽  
Huai-Xin Lu
Keyword(s):  
Tripartite Entanglement ◽  
Bit Flip ◽  
Non Locality

Fisher and skew information for two-qubit Bell states under decoherence effects

2020 ◽  
Vol 18 (04) ◽  
pp. 2050018
Author(s):  
R. Laghmach ◽  
H. El Hadfi ◽  
B. Maroufi ◽  
M. Daoud
Keyword(s):  
Fisher Information ◽  
Dynamical Behavior ◽  
Quantum Fisher Information ◽  
Bell States ◽  
Thermal Entanglement ◽  
Noisy Channels ◽  
Phase Damping ◽  
Skew Information ◽  
Amplitude Damping Channel ◽  
Depolarizing Channel

We give the explicit expressions of quantum Fisher information and skew information for a two-qubit Bell states. We investigate their dynamics under the decoherence effects: phase-damping channel, depolarizing channel and amplitude-damping channel. We also discuss the thermal entanglement quantified by Wootters concurrence for these three decoherence channels and we compare its dynamical behavior with the quantum Fisher information and skew information. We then use this comparison to investigate the influence of noisy channels on thermal entanglement and its role in boosting the performance of metrology protocols. It is shown that the correlations in two-qubit Bell states are more resistant to phase-damping channel and depolarizing channels.

scholarly journals Asymmetry of Quantum Correlations Decay in Nonlinear Bosonic System

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 1023
Author(s):  
Anna Kowalewska-Kudłaszyk ◽  
Grzegorz Chimczak
Keyword(s):  
Quantum Entanglement ◽  
Nonlinear Oscillators ◽  
Quantum Correlations ◽  
Symmetric System ◽  
Dimensional System ◽  
Noisy Channels ◽  
Bosonic System ◽  
Phase Damping ◽  
Coherent Field ◽  
Low Dimensional

We study the problem of the influence of one-sided different noisy channels to the quantum correlations decay in a symmetric bosonic system. We concentrate on one type of these correlations—the entanglement. The system under consideration is composed of two nonlinear oscillators coupled by two-boson interactions and externally driven by a continuous coherent field. Our low-dimensional system can be treated as 2-qutrit one. Two different noisy channels (the amplitude and the phase-damping reservoirs) are applied to both of the system’s modes. We show that there is a noticeable difference in the quantum entanglement in 2-qubit subspaces of the whole system decrease after swapping the reservoirs between the modes of the considered symmetric system. It appears also that the degree of obtained entanglement depends crucially on the position of the appropriate type of reservoir. The origin of the observed asymmetry is also explained.

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