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

Kumar, C. S. Sudheer; Rishabh, None; Arora, Shikhar

doi:10.1103/physreva.105.052437

Cited by 12 publications

(14 citation statements)

References 54 publications

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“…These results at 𝜅 = 1∕2 do corroborate with those obtained in Ref. [39] for non-Gaussian operations on TMSV state. Moreover, we observe that the relative improvement in phase sensitivity by non-Gaussian operations increases with an increase in the average number of thermal photons.…”

Section: Advantages Of Non-gaussian Operations On Tmst State In Phase...supporting

confidence: 91%

“…This is contrary to the case involving non-Gaussian TMSV states, where PA operation turns out to be most optimal. [39] Also, the expression for a unified Wigner function of NGTMST states derived here does not appear in the existing literature to the best of our knowledge. This expression will be a welcome addition to existing literature and will find important use while dealing with various CV QIP protocols involving NGTMST states.…”

Section: Introductionmentioning

confidence: 94%

“…These non-Gaussian states have enhanced squeezing and entanglement, which has been utilized for performance improvement in quantum key distribution, [22][23][24][25][26][27] quantum teleportation [28][29][30][31][32][33] as well as quantum metrology. [34][35][36][37][38][39] Ideally, one would like to use states free from thermal noise. However, even in the most carefully designed experiments, losses are inevitable, and we are bound to end up with mixed states.…”

Section: Introductionmentioning

confidence: 99%

“…To gain a better perspective, we also compare our results to the case of the non-Gaussian TMSV state (Ref. [39]). Finally, in Section 5, we conclude the article by summarizing the main points and discussing possible future directions.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced Phase Estimation in Parity‐Detection‐Based Mach–Zehnder Interferometer using Non‐Gaussian Two‐Mode Squeezed Thermal Input State

2023

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While the quantum metrological advantages of performing non‐Gaussian operations on two‐mode squeezed vacuum (TMSV) states have been extensively explored, similar studies in the context of two‐mode squeezed thermal (TMST) states are severely lacking. This paper explores the potential advantages of performing non‐Gaussian operations on TMST state for phase estimation using parity detection‐based Mach–Zehnder interferometry and compares it with the TMSV case. To this end, a realistic photon subtraction, addition, and catalysis model is considered. A unified Wigner function of the photon subtracted, photon added, and photon catalyzed TMST state is derived, which is used to obtain the expression for the phase sensitivity. The results show that performing non‐Gaussian operations on TMST states can enhance the phase sensitivity for significant squeezing and transmissivity parameter ranges. Because of the probabilistic nature of these operations, it is of utmost importance to consider their success probability. When the success probability is considered, the photon catalysis operation performed using a high transmissivity beam splitter is the optimal non‐Gaussian operation. This contrasts with the TMSV case, where photon addition is observed as the most optimal. Further, the derived Wigner function of the non‐Gaussian TMST states will be useful for state characterization and various quantum protocols.

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Section: Advantages Of Non-gaussian Operations On Tmst State In Phase...supporting

confidence: 91%

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Enhanced Phase Estimation in Parity‐Detection‐Based Mach–Zehnder Interferometer using Non‐Gaussian Two‐Mode Squeezed Thermal Input State

2023

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“…A few research studies on non-Gaussian entanglement have considered the success probability of the involved non-Gaussian op-erations [25][26][27][28][29]. Further, preparation of non-Gaussian states such as Schrödinger cat states [30,31] and a phase sensitivity study in Mach-Zehnder interferometer using non-Gaussian states [32] have also taken success probability into account. However, such a study in quantum teleportation has not yet been undertaken.…”

Section: Introductionmentioning

confidence: 99%

Consideration of success probability and performance optimization in non-Gaussian continuous variable quantum teleportation

Kumar‐Sinha¹,

Arora²

2022

Preprint

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We undertake a comprehensive study of quantum teleportation using non-Gaussian entangled resource states produced by performing non-Gaussian operations on a two-mode squeezed vacuum (TMSV) state. These non-Gaussian operations include photon subtraction, photon addition, and photon catalysis and are performed via heralding schemes using photon number resolving detectors. Since these schemes produce non-Gaussian states probabilistically, it is necessary to consider the success probability. We first derive a unified expression for the Wigner characteristic function describing the photon subtracted, added, and catalyzed TMSV states. We then utilize it to obtain the fidelity of teleporting input coherent and squeezed vacuum states. Considering the success probability allows us to find the most advantageous non-Gaussian operations along with the associated optimal squeezing and beam splitter transmissivity parameters. It turns out that the symmetric one-photon subtracted TMSV state is most advantageous for teleporting input coherent and squeezed vacuum states. We expect the derived Wigner characteristic function to be useful in the state characterization and other quantum protocols.

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Continuous Variable Quantum Teleportation in a Dissipative Environment: Comparison of Non‐Gaussian Operations Before and After Noisy Channel

Kumar,

Sharma,

Arora

2024

Adv Quantum Tech

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This article explores the relative advantages in continuous‐variable quantum teleportation when non‐Gaussian operations, namely, photon subtraction, addition, and catalysis, are performed before and after interaction with a noisy channel. The resource state for teleporting unknown coherent and squeezed vacuum states is generated using two distinct strategies: i) Implementation of non‐Gaussian operations on two mode squeezed vacuum (TMSV) state before interaction with a noisy channel, ii) Implementation of non‐Gaussian operations after interaction of TMSV state with a noisy channel. The results show that non‐Gaussian operations can enhance teleportation fidelity in a dissipative environment. However, the most advantageous non‐Gaussian operation and appropriate strategy depend on the state and channel parameters. The results suggest that employing such strategies can be advantageous in other non‐Gaussian continuous variable quantum information (QIP) processing tasks in a dissipative environment.

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

Cited by 12 publications

References 54 publications

Enhanced Phase Estimation in Parity‐Detection‐Based Mach–Zehnder Interferometer using Non‐Gaussian Two‐Mode Squeezed Thermal Input State

Enhanced Phase Estimation in Parity‐Detection‐Based Mach–Zehnder Interferometer using Non‐Gaussian Two‐Mode Squeezed Thermal Input State

Consideration of success probability and performance optimization in non-Gaussian continuous variable quantum teleportation

Continuous Variable Quantum Teleportation in a Dissipative Environment: Comparison of Non‐Gaussian Operations Before and After Noisy Channel

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