Generation of microwave photon perfect W states of three coupled superconducting resonators

Li, Xinke; Zhou, Yuan; Wang, Guanghui; Lv, Dong-Yan; Badshah, Fazal; Huang, Haiming

doi:10.1088/1674-1056/aca394

Cited by 2 publications

(2 citation statements)

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“…The preparation of PW state has been realized in experiment [71] and kinds of proposals have been provided to generate it [69,70,[72][73][74], we therefore mainly focus on the optimal choice of phase generator and probe readout. We choose the collective angular momentum operator Ĵm = 1 2 N i=1 σm (m = x, y, z) as the phase generator and parity operator as the measured quantity [108].…”

Section: Optimal Phase Estimation With Pw Statementioning

confidence: 99%

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Quantum precision measurement using perfect W state via two-body interacting operation

Li,

Ren

2023

Preprint

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We comprehensively study the metrological performance of perfect W (PW) state in quantum phase measurement, including local operation and two-body interacting operation as the phase generator. The analytical precision limits are obtained in both cases and the decoherence effects are also investigated. The results show that under local operation the precision limit is slightly lower than it from W state, indicating the weaker sensitivity. Specially, with increasing m the precision limit from the general 3-qubit PW state approaches 1/Sqrt{5}. In the amplitude damping channel, the precision limit decreases first and then increases to the shot noise limit, whereas it is always decreased in phase damping channel. Alternatively, we have also provided the optimal strategies for quantum phase estimation. In the two-body interacting operations, Ising model and Lipkin-Meshkov-Glick (LMG) model are employed to explore the precision limit with respect to interacting strength. It behaves similar in both cases that with increasing the precision limit surpasses the general Heisenberg limit and gradually converges with W state. However, the difference is also evident that the more qubits involved for achieving Heisenberg limit, the larger the needed \gamma in Ising model but smaller in LMG model. Interestingly, in amplitude damping channel, with increasing an expanding platform area of precision limit emerges in the few-qubit PW state (N < 6), while it gradually disappears in the large qubit case. This will be beneficial to the stable and tunable high-precision measurement, especially under the noisy circumstances.

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Section: Optimal Phase Estimation With Pw Statementioning

confidence: 99%

“…has been extensively studied in quantum teleportation and superdense coding [64][65][66][67][68], and presents many advantages in quantum information processing. Various proposals have been provided to create PW state in experiments [69][70][71][72][73][74]. Due to the same categories with W state,…”

Section: Introductionmentioning

confidence: 99%