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 MINIMAL ENTANGLEMENT FIDELITIES OF SOME SINGLE QUBIT QUANTUM NOISY CHANNELS

2002 ◽  
Vol 16 (01n02) ◽  
pp. 19-25 ◽  
Author(s):  
XIAN-TING LIANG
Keyword(s):  
The Other ◽  
Noisy Channels ◽  
Amplitude Damping ◽  
Single Qubit ◽  
Phase Damping ◽  
Amplitude Damping Channel ◽  
Depolarizing Channel ◽  
Quantum Noisy Channels

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.

scholarly journals JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

2016 ◽  
Vol 14 (07) ◽  
pp. 1650034 ◽  
Author(s):  
Babatunde James Falaye ◽  
Guo-Hua Sun ◽  
Oscar Camacho-Nieto ◽  
Shi-Hai Dong
Keyword(s):  
Information Loss ◽  
Particle State ◽  
Joint Remote State Preparation ◽  
Noisy Channels ◽  
Amplitude Damping ◽  
Phase Damping ◽  
Special Cases ◽  
Point Of Departure ◽  
Depolarizing Channel ◽  
Quantum Noisy Channels

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.

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.

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.

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.

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.

Non-Markovinity of single qubit channels: analytical and numerical methods

2014 ◽  
Vol 92 (3) ◽  
pp. 230-235
Author(s):  
Jian-Song Zhang ◽  
Ai-Xi Chen
Keyword(s):  
Numerical Methods ◽  
Quantum States ◽  
Amplitude Damping ◽  
Single Qubit ◽  
Phase Damping ◽  
Bit Flip ◽  
Explicit Expressions

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.

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.

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