Fidelity of quantum states in a correlated dephasing channel

Rahman, Atta Ur; Haddadi, Saeed; Pourkarimi, Mohammad Reza; Ghominejad, M.

doi:10.1088/1612-202x/ac5040

Cited by 19 publications

(5 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, The output density operator takes the form where To describe the quality of the process of teleportation, it is often quite useful to study the fidelity between and to characterize the teleported state. When the input state is a pure state, one can apply the concept of fidelity as a useful indicator of the teleportation performance of a quantum channel quantifier 80 , 81 . The fidelity is defined as 6 The fidelity is near zero if the input and output states are orthogonal, which means the information is fully destroyed during the transmission process, so the teleportation fails.…”

Section: Resultsmentioning

confidence: 99%

Pairwise quantum criteria and teleportation in a spin square complex

Benabdallah

Haddadi

Zad

et al. 2022

Sci Rep

Self Cite

View full text Add to dashboard Cite

Thermal non-classical correlations quantified by concurrence entanglement, local quantum uncertainty, and quantum coherence in a four-qubit square chain are exactly examined. The influences of the Hamiltonian parameters on the mentioned pairwise quantum criteria and fidelity of teleportation are studied, and the most interesting findings are discussed in detail. It is found that the tuning anisotropy results in enhancing the thermal quantum correlations and coherence as well as average fidelity until achieving maximum values. We persuasively deduce that quantum coherence is a more efficient criterion than that of concurrence and local quantum uncertainty to detect the quantumness of a thermal state.

show abstract

Section: Resultsmentioning

confidence: 99%

Pairwise quantum criteria and teleportation in a spin square complex

Benabdallah

Haddadi

Zad

et al. 2022

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…To evaluate the error mitigation performance of the BFA method in terms of flexibility and generalization, we employ state fidelity [55,56] as a measure. However, since the discrimi-nator is a classical model, real images are represented directly as classical pixel values without quantum encoding.…”

Section: Simulation Analysismentioning

confidence: 99%

Quantum generative adversarial networks based on a readout error mitigation method with fault tolerant mechanism

Zhao 赵,

Ma 马,

Cheng 程

et al. 2024

Chinese Phys. B

View full text Add to dashboard Cite

Readout errors caused by measurement noise are significant source of errors in quantum circuits, which severely affects the output results and is an urgent problem to be solved in noisy-intermediate scale quantum (NISQ) computing. In this paper, we use the bit-flip averaging (BFA) method to mitigate frequent readout errors in quantum generative adversarial networks (QGAN) for image generation, which simplifies the response matrix structure by averaging the qubits for each random bit-flip in advance, successfully solving problems with high cost of measurement for traditional error mitigation methods. Our experiments were simulated in Qiskit, using the handwritten digit image recognition dataset, under the BFA-based method, the Kullback-Leibler(KL) divergence of the generated images converges to 0.04, 0.05, and 0.1 for readout error probabilities of p=0.01, p=0.05, and p=0.1, respectively. Additionally, by evaluating the fidelity of the quantum states representing the images, we observe average fidelity values of 0.97, 0.96, and 0.95 for the three readout error probabilities, respectively. These results demonstrate the robustness of the model in mitigating readout errors and provide a highly fault tolerant mechanism for image generation models.

show abstract

“…The success of quantum teleportation entirely depends upon the degree of entanglement and fidelity of quantum states [49]. Once the system is exposed to the channels, the entanglement and quantum coherence decay due to the resultant dephasing effects [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Quantum teleportation in a two-superconducting qubit system under dephasing noisy channel: role of Josephson and mutual coupling energies

Zidan¹,

Rahman²,

Haddadi³

2023

Laser Phys. Lett.

Self Cite

View full text Add to dashboard Cite

We investigate the average fidelity of teleportation for a system of two superconducting qubits under a dephasing noisy channel. Using the classical fidelity threshold concept, we disclose the effectiveness of the current channel to remain either in the classical or in the quantum domain. Various parameters of the assumed scheme help us to achieve high average fidelity of teleportation in the current configuration.

show abstract

Fidelity of quantum states in a correlated dephasing channel

Cited by 19 publications

References 47 publications

Pairwise quantum criteria and teleportation in a spin square complex

Pairwise quantum criteria and teleportation in a spin square complex

Quantum generative adversarial networks based on a readout error mitigation method with fault tolerant mechanism

Quantum teleportation in a two-superconducting qubit system under dephasing noisy channel: role of Josephson and mutual coupling energies

Contact Info

Product

Resources

About