Improved phase sensitivity in a quantum optical interferometer based on multiphoton catalytic two-mode squeezed vacuum states

Zhang, Huan; Ye, Wei; Wei, Chaoping; Xia, Ying; Chang, Shoukang; Liao, Zeyang; Hu, Li-Yun

doi:10.1103/physreva.103.013705

Cited by 26 publications

(18 citation statements)

References 69 publications

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“…We have considered a realistic model of photon subtraction and addition which yields the ideal case of photon subtraction and addition in the unit transmissivity limit. Therefore, the phase sensitivity results of ideal symmetric photon subtraction and addition [38,40], as well as that of asymmetric catalysis [41], on TMSV state forms a particular case of our work.…”

Section: Discussionmentioning

confidence: 97%

“…These non-Gaussian states have been used in various protocols such as quantum teleportation [23][24][25][26][27], quantum key distribution [28][29][30][31][32][33], quantum illumination [34,35], and noise-less amplification [36] to enhance the performance. With a similar vision, non-Gaussian states have also been considered as input to the MZI to further enhance the phase sensitivity [37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…Our work provided a single expression of parity detection-based phase sensitivity to cover all three non-Gaussian operations, including both symmetric and asymmetric operations. States generated by ideal symmetric PS, ideal symmetric PA, and asymmetric PC operations on TMSV states have been considered as input to parity detection-based MZI [38,40,41] and form a special case of our general analysis. The figure of merit defined in this work, along with the considerations involving the probability of non-Gaussian state generation, will allow experimentalists to choose suitable parameters to achieve higher phase sensitivity with resource optimization.…”

Section: Introductionmentioning

confidence: 99%

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Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry

Kumar,

Arora

2022

Preprint

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We theoretically analyze phase sensitivity using parity detection based Mach-Zehnder interferometer (MZI) with the input states generated by performing non-Gaussian operations, viz., photon subtraction, photon addition, and photon catalysis on a two-mode squeezed vacuum (TMSV) state. Since these non-Gaussian operations are probabilistic, it is of utmost importance to take the success probability into account. To this end, we consider the realistic model of photon subtraction, addition, and catalysis and derive a single expression of the Wigner function for photon subtracted, added, and catalyzed TMSV state. The Wigner function is used to evaluate the lower bound on the phase sensitivity via quantum Cramer-Rao bound and parity detection based phase sensitivity in MZI. We identify the ranges of squeezing and transmissivity parameters where the non-Gaussian states provide better phase sensitivity than the TMSV state. On qualitatively taking the success probability into account, it turns out that the photon addition is the most advantageous non-Gaussian operation. We hope that the generalized Wigner function derived in this work will be useful in various quantum information protocols and state characterization.

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Section: Discussionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry

Kumar,

Arora

2022

Preprint

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“…On the other hand, for realistic scenarioes, because of the inevitable interactions between the quantum system and its surrounding noisy environment, the corresponding estimation precision would be reduced, which has been studied extensively in recent years [23][24][25][26][27][28][29][30][31]. In particular, since a variational method was first proposed by Escher [24], the analytical QCRB of single-(or multiple-) parameter estimation in noisy environment can be derived effectively [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Evaluating the quantum Ziv-Zakai bound in noisy environments

Chang,

Ye,

Rao

et al. 2022

Preprint

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In the highly non-Gaussian regime, the quantum Ziv-Zakai bound (QZZB) provides a lower bound on the available precision, demonstrating the better performance compared with the quantum Cramér-Rao bound. However, evaluating the impact of a noisy environment on the QZZB without applying certain approximations proposed by Tsang [Phys. Rev. Lett. 108, 230401 (2012)] remains a difficult challenge. In this paper, we not only derive the general form of the QZZB with the photon loss and the phase diffusion by invoking the technique of integration within an ordered product of operators, but also show its estimation performance for several different Gaussian resources, such as a coherent state (CS), a single-mode squeezed vacuum state (SMSVS) and a two-mode squeezed vacuum state (TMSVS). Our results indicate that compared with the SMSVS and the TMSVS, the QZZB for the CS always shows the better estimation performance under the photon-loss environment. More interestingly, for the phase-diffusion environment, the estimation performance of the QZZB for the TMSVS can be better than that for the CS throughout a wide range of phase-diffusion strength. Our findings will provide a useful guidance for investigating the noisy quantum parameter estimation.

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“…The phase sensitivity can beat the SQL and approach the HL. Compared to the traditional SU(1,1) interferometer with a linear phase and other inputs resources including CS+CS and SVS+CS, our scheme presents much QFI and higher phase sensitivity closer to the quantum Cramér-Rao (QCRB) [34,[47][48][49][50]. From the viewpoint of resource theory, CS+VS can be seen as the most simple and easily available input, thus our scheme has an obvious advantage of low-cost input by inserting nonlinear phase shift into the SU(1,1) interferometer.…”

Section: Introductionmentioning

confidence: 99%

Improvement of phase sensitivity in SU(1,1) interferometer via a Kerr nonlinear

Chang¹,

Ye²,

Zhang³

et al. 2021

Preprint

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We propose a theoretical scheme to enhance the phase sensitivity by introducing a Kerr nonlinear phase shift into the traditional SU(1,1) interferometer with a coherent state input and homodyne detection. We investigate the realistic effects of photon losses on phase sensitivity and quantum Fisher information. The results show that compared with the linear phase shift in SU(1,1) interferometer, the Kerr nonlinear case can not only enhance the phase sensitivity and quantum Fisher information, but also significantly suppress the photon losses. We also observe that at the same accessible parameters, internal losses have a greater influence on the phase sensitivity than the external ones. It is interesting that, our scheme shows an obvious advantage of low-cost input resources to obtain higher phase sensitivity and larger quantum Fisher information due to the introduction of nonlinear phase element.

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Improved phase sensitivity in a quantum optical interferometer based on multiphoton catalytic two-mode squeezed vacuum states

Cited by 26 publications

References 69 publications

Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry

Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry

Evaluating the quantum Ziv-Zakai bound in noisy environments

Improvement of phase sensitivity in SU(1,1) interferometer via a Kerr nonlinear

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