Decoherence Effect on Quantum Correlation and Entanglement in a Two-qubit Spin Chain

Pourkarimi, Mohammad Reza; Rahnama, Mohammad; Rooholamini, H.

doi:10.1007/s10773-014-2302-7

Cited by 19 publications

(7 citation statements)

References 33 publications

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“…Due to their suitable scalability and integrability, solid-state systems attract much attention nowadays [83][84][85][86][87][88][89][90][91][92][93][94][95]. In this section, we consider a typical solid-state system with the Hamiltonian H for the two-qubit spin squeezing model under the external magnetic field B as (ℏ = 1) [83, 84]…”

Section: The Example: Two-qubit Spin Squeezing Modelmentioning

confidence: 99%

Exploring entropic uncertainty relation and dense coding capacity in a two-qubit X-state

et al. 2020

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The measurement precision for two incompatible observables in a typical quantum system can be improved by the aid of one particle as a quantum memory. In this work, we study the entropic uncertainty relation in the presence of quantum memory (EUR-QM) and dense coding capacity (DCC) for arbitrary two-qubit X-states, and then we obtain an explicit relationship between the lower bound of the uncertainty and DCC. As an example, we examine the thermal EUR-QM as well as DCC in two kinds of two-qubit spin squeezing models (one-axis twisting model and two-axis counter-twisting model) under an external magnetic field. In the following, we relate EUR-QM to DCC and show analytically that there is an anti-correlated relation between them, and especially in the ground state. Our results show that for both the models, the entropic uncertainty and its bound can be decreased by reinforcing the spin squeezing parameters or decreasing the temperature of the system. Notably, we reveal that the valid dense coding cannot carry out in the one-axis twisting model, nevertheless, if we properly choose the Hamiltonian parameters, the two-axis counter-twisting model not only carries out the valid dense coding but also the optimal dense coding surely can be achieved. Thereby, our observations might offer new insights into quantum measurement precision and the optimal dense coding for the regimes of various solid-state systems.

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Section: The Example: Two-qubit Spin Squeezing Modelmentioning

confidence: 99%

Exploring entropic uncertainty relation and dense coding capacity in a two-qubit X-state

et al. 2020

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“…The more correlation between Alice's and Bob's qubits, the more accuracy in measurement of incompatible observables. One of the most famous criteria of quantum correlations is concurrence used for measuring entanglement in bipartite quantum states [17][18][19][20][21]. Another important measure is quantum discord (QD), which reveals the essence of quantum correlations more than concurrence [15].…”

Section: Introductionmentioning

confidence: 99%

Scrutinizing entropic uncertainty and quantum discord in an open system under quantum critical environment

et al. 2022

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We explore the dynamics of quantum discord (QD) and entropic uncertainty lower bound for a two-qubit system independently coupled to an Ising spin chain. For this model, we obtain the analytic results of QD and uncertainty bound and find that there is a trade-off between them. We also examine the effect of the number of spins and the coupling strength to a transverse field on these two quantum criteria.

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“…In order to performance it, we need some quantum gates as unitary operators, an entangled state as a quantum channel and projective operators to measure the quantum states as shown in figure 1. This process is not so simple in real world, since quantum states interact with their environments [80][81][82][83][84][85][86]. Therefore, entanglement of channel and information of the state to be teleported are lost [87][88][89][90].…”

Section: Introductionmentioning

confidence: 99%

“…Hence, it is important to study the decoherence on teleporting process. Some one may find such investigations in literature [78][79][80][81][82][83][84][85][86][87][88][89][90]. Nevertheless, as far as we know, there has been no exploration of the time evolution of QCs and uncertainty for quantum teleportation of one-qubit state in the presence of decohering environments, which is a conventional protocol of teleportation proposed by Bennett et al [69].…”

Section: Introductionmentioning

confidence: 99%

Quantum-memory-assisted entropic uncertainty, teleportation, and quantum discord under decohering environments

Pourkarimi

Haddadi

2020

Laser Phys. Lett.

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The one-qubit teleportation protocol is one of the most well-known topics of quantum information theory. Indeed, the goal of this quantum protocol is to teleport an arbitrary quantum state. Herein, we investigate the entropic uncertainty relation in the presence of quantum memory (EUR-QM), quantum discord (QD), and fidelity of teleportation under dephasing, dissipative, and noisy environments. We relate the EUR-QM to QD and quantum teleportation and show analytically that there is a fully anti-correlated relation between QD and entropic uncertainty in a dephasing environment. In the process of our analysis, we also find an explicit relationship between the average fidelity of teleportation and the entropic uncertainty of the channel state. Significantly, the results report that the fidelity of teleportation and QD of the channel state are more stable and most efficiently under the influence of a dephasing environment than those under the influence of a dissipative or noisy environment. It turns out that under a dephasing environment, these results can be vital in practical goals where the maximum fidelity of teleportation and minimum uncertainty are required such as in quantum teleportation protocols and quantum computation.

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Decoherence Effect on Quantum Correlation and Entanglement in a Two-qubit Spin Chain

Cited by 19 publications

References 33 publications

Exploring entropic uncertainty relation and dense coding capacity in a two-qubit X-state

Exploring entropic uncertainty relation and dense coding capacity in a two-qubit X-state

Scrutinizing entropic uncertainty and quantum discord in an open system under quantum critical environment

Quantum-memory-assisted entropic uncertainty, teleportation, and quantum discord under decohering environments

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