Realization of the three-qubit quantum controlled gate based on matching Hermitian generators

Gautam, Kumar; Rawat, Tarun Kumar; Parthasarathy, Harish; Sharma, Navneet; Upadhyaya, Varun

doi:10.1007/s11128-017-1564-4

Cited by 4 publications

(2 citation statements)

References 31 publications

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“…where, Q, R are positive definite matrices and E is a given real positive scalar, λ is a real scalar, β is a real vector. [17], [18] ∇ V F = 0, dF/dλ = 0, give, QV + β + λRV = 0, V T RV = E. The first gives, V = −(Q + λR) −1 β, and substituting this into the second gives,…”

Section: Kgautammentioning

confidence: 99%

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Electrodynamics-based Quantum Gate Optimization with Born Scattering

Gautam

2023

Preprint

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In this paper, we propose employing electron scattering to realize unitary quantum gates that are controlled by three qubits. Using Feynman’s rules, we find an expression for the transition amplitude for scattering from an external electromagnetic source. In this context, the scattering amplitude is modeled as a unitary gate whose state can be regulated. The optimal value of the vector potential needed to implement the gate is obtained by minimizing the difference between the designed gate and the target gate, with the total energy consumed as a constraint. The design algorithm is obtained by discretizing the resulting integral equations into vector equations. This design algorithm can be applied in various fields such as quantum computing, communication, and sensing. It offers a promising approach for developing efficient and accurate gates for quantum information processing. Furthermore, this approach can also be extended to design gates for multi-qubit systems, which are essential for large-scale quantum computing. The use of this algorithm can significantly contribute to the development of practical quantum technologies.

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Section: Kgautammentioning

confidence: 99%

“…Measures like gate fidelity and signal-to-noise ratio are used to quantify the departure of a realized gate from ideal operation. This is important from design point of view, as the amount of error introduced by a gate which can be tolerated forms a design parameter [17]- [20].…”

Section: Introductionmentioning

confidence: 99%

Electrodynamics-based Quantum Gate Optimization with Born Scattering

Gautam

2023

Preprint

Self Cite

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Optimum quantum receiver for detecting weak signals in PAM communication systems

Sharma

Rawat

Parthasarathy

et al. 2017

Quantum Inf Process

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Efficiency of the non-maximally entangled quantum Otto engine

Sukamto,

Yuwana,

Purwanto

et al. 2024

Phys. Scr.

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We generalized the maximally entangled Hamiltonian of the isotropic Heisenberg XX model with two spin-1/2 particles to the case of non-maximal entanglement parametrized by the degree of non-maximality 0 < n < 1. The thermal concurrence as the function of the degree of non-maximality in the entanglement at different values of the exchange parameter is calculated. We analyzed the efficiencyof the quantum Otto engine for different scenarios of exchange parameter regimes and the degree of maximal entanglement between the spin states. We showed that it is possible to run the quantum Otto engine using non-maximally entangled states and achieve higher efficiencies by controlling the exchange parameter value with respect to a critical value Jc and this feature also depends on the degree of non-maximal entanglement n 6= 1. This result may be useful for harnessing the non-maximal entanglement in quantum heat engine for optimizing the operation of quantum devices interacting with heat bath or environment.

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Realization of the three-qubit quantum controlled gate based on matching Hermitian generators

Cited by 4 publications

References 31 publications

Electrodynamics-based Quantum Gate Optimization with Born Scattering

Electrodynamics-based Quantum Gate Optimization with Born Scattering

Optimum quantum receiver for detecting weak signals in PAM communication systems

Efficiency of the non-maximally entangled quantum Otto engine

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