Optimal figure of merit of low-dissipation quantum refrigerators

Chen, Jingyi; Wang, Youlin; Chen, Jincan; Su, Shanhe

doi:10.1103/physreve.107.044118

Cited by 3 publications

(1 citation statement)

References 62 publications

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“…Next, we demonstrate how to numerically acquire the optimal solutions for the modulation parameters of short pulse sequences. When there are constraints on the arguments during searching the minimum value of the cost function, it is quite convenient to employ the Lagrange multiplier method that is well-known for its high efficiency in solving optimization problems [73,[80][81][82]. The basic idea of this method is to transfer a constrained optimal problem into an unconstrained one.…”

Section: Lagrange Multiplier Methodsmentioning

confidence: 99%

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Zhang,

Liu,

Song

et al. 2024

New J. Phys.

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We propose a robust and high-fidelity scheme for realizing universal quantum gates by optimizing short pulse sequences in a three-level system. To alleviate the sensitivity to the errors, we recombine all elements of error matrices to construct a cost function with three types of weight factors. The modulation parameters are obtained by searching for the minimum value of this cost function. The purposes of introducing the weight factors are to reduce the detrimental impact of high-order error matrices, suppress population leakage to the third state, correct the operational error in the qubit space, and optimize the total pulse area of short pulse sequences. The results demonstrate that the optimized sequences exhibit strong robustness against errors and effectively reduce the total pulse area. Therefore, this work presents a valuable method for achieving exceptional robustness and high speed in quantum computations.

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Section: Lagrange Multiplier Methodsmentioning

confidence: 99%

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Zhang,

Liu,

Song

et al. 2024

New J. Phys.

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Speeding up quantum heat engines by the Mpemba effect

Liu,

Yuan,

Ruan

et al. 2024

Phys. Rev. A

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Efficient ecological function analysis and multi-objective optimizations for an endoreversible simple air refrigerator cycle

Xu,

Ge,

Chen

et al. 2024

Journal of Non-Equilibrium Thermodynamics

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Combining finite time thermodynamics and exergetic analysis, analogous to the definition of ecological efficient power for heat engines, this paper proposes a unified performance indicator for various cycles, exergy-based efficient ecological function (E ɛ ) which is defined as product of exergy-based ecological function and coefficient of performance, and introduces it into performance optimization of endoreversible simple air refrigerator cycle coupled to constant-temperature heat reservoirs. Relations among E ɛ , pressure ratio (π) and heat conductance distribution ratio (u) are derived by using numerical method. The cycle performance indicators which include cooling load (R), coefficient of performance (ɛ), and exergetic loss rate (E out/T 0) under the different maximum objective criteria are compared. Taking π as optimal variable, and taking R, ɛ, cooling load density (r), E ɛ and their combinations as optimization objectives, multi-objective optimizations, totally 15 optimization combinations, are performed by using NASG-II algorithm. The results demonstrate that, the maximum E ɛ criteria can better reflect the compromise among R, ɛ and E out/T 0. The Pareto solution sets are majorly distributed in 2.5–20 when quadru-objective optimizations are performed. The option selected by LINMAP decision-making method is closer to ideal solution when bi-objective optimization of ɛ and r is carried out.

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Optimal figure of merit of low-dissipation quantum refrigerators

Cited by 3 publications

References 62 publications

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

High-fidelity quantum gates via optimizing short pulse sequences in three-level systems

Speeding up quantum heat engines by the Mpemba effect

Efficient ecological function analysis and multi-objective optimizations for an endoreversible simple air refrigerator cycle

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