Coherence-assisted non-Gaussian measurement-device-independent quantum key distribution

Kumar, C. S. Sudheer; Singh, Jaskaran; Bose, Soumyakanti; Arvind, .

doi:10.1103/physreva.100.052329

Cited by 21 publications

(18 citation statements)

References 43 publications

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“…Such a discourse would be of immense interest to experimentalists in selecting the most optimal state for QKD based on transmission distances, noise robustness and/or coherence. While it has already been shown that a small amount of coherence is a actu-ally helpful process in the case of photon subtraction [40], we find that it is true for photon addition and catalysis too. This reinforces the idea that non-Gaussianity coupled with coherence leads to better performance in CV MDI QKD.…”

Section: Introductioncontrasting

confidence: 47%

“…The latter has been studied in depth in Ref. [40]. The probability of n photon detections as a function of τ is plotted in Figs.…”

Section: B CV Mdi Qkd Using Non-gaussian Statesmentioning

confidence: 99%

“…While CV MDI QKD has been well studied using Gaussian states like two mode squeezed vacuum (TMSV), few recent studies have shown that non-Gaussianity [31][32][33][34][35][36][37][38][39] and coherence [40] can have a major impact on maximizing the transmission distances. It might be noted that the desired non-gaussianity could be induced in many ways such as photon subtraction, photon addition, catalysis etc.…”

Section: Introductionmentioning

confidence: 99%

“…While the case of photon subtraction has been studied in full depth, the process of photon catalysis has been explored to some extent. Furthermore, the impact of coherence on CV MDI QKD protocols has only been made possible in the case of photon subtraction, where it was shown to be quite advantageous [40]. However, a general treatment of these non-Gaussian processes along with fiducial coherence has been not been attempted due to the difficulty in obtaining closed form solution for the covariance matrix -a primary ingredient in Gaussian modulated CV QKD.…”

Section: Introductionmentioning

confidence: 99%

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Non-Gaussian operations in measurement device independent quantum key distribution

Singh,

Bose

2021

Preprint

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Non-Gaussian operations in continous variable (CV) quantum key distribution (QKD) have been limited to photon subtraction on squeezed vacuum states only. This is mainly due to the ease of calculating the covariance matrix representation of such states. In this paper we study the effects of general non-Gaussian operations corresponding to photon addition, catalysis and subtraction on squeezed coherent states on CV measurement device independent (MDI) QKD. We find that non-Gaussianity coupled with coherence can yield significantly longer transmission distances than without. Particularly we observe that zero photon catalysis on two mode squeezed coherent state (TMSC) is an optimial choice for CV MDI QKD, while single photon subtraction is also a good candidate; both of them offering nearly 70 km of transmission distances. We also derive a single generalized covariance matrix for the aforementioned states which will be useful in several other aspects of CV quantum information processing.

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Section: Introductioncontrasting

confidence: 47%

“…The latter has been studied in depth in Ref. [40]. The probability of n photon detections as a function of τ is plotted in Figs.…”

Section: B CV Mdi Qkd Using Non-gaussian Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-Gaussian operations in measurement device independent quantum key distribution

Singh,

Bose

2021

Preprint

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“…In addition, it is worth noting that such a GSP operation can be easily implemented using linear optical devices and parametric down-converters [37]. Interestingly, the performance of continuous variable quantum key distribution can also be improved further using the TMSC instead of the TMSV [38]. Specially, larger coherence values are detrimental to the performance, but a small amount of coherence is more favorable for achieving maximum transmission distance.…”

Section: Introductionmentioning

confidence: 99%

Nonclassicality and entanglement properties of non-Gaussian entangled states via a superposition of number-conserving operations

Guo

Zhang

et al. 2020

Quantum Inf Process

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We theoretically investigate the nonclassicality and entanglement properties of non-Gaussian entangled states generated by using a number-conserving generalized superposition of products (GSP), i.e., saa † + ta † a m with s 2 + t 2 = 1 on each mode of an input two-mode squeezed coherent (TMSC) state. The simulation results show that, compared to the typical two-mode squeezed vacuum state, the usage of small coherent amplitude is conductive to offering an opportunity for not only effectively enhancing the nonclassicality in terms of antibunching effect and Wigner function, but also significantly improving the entanglement quantified by Einstein-Podolsky-Rosen correlation and Hillery-Zubairy correlation. For the increase of the number of operations, the region of both the existing antibunching effect and the improved entanglement decreases, but this region of the improved teleportation fidelity and the negative distribution of the Wigner function is on the increase. Under an ideal Braunstein and Kimble teleportation protocol, when the generated states are treated as an entangled resource, the optimal teleportation fidelity can be achieved by taking a suitable squeezing parameter and the number of operations for the optimal choices of s. In order to highlight the advantages of the use of the GSP-embedded TMSC, under the same parameters, we also make a comparison about the performances of both the entanglement and the fidelity for different non-Gaussian entangled states, involving the photon-subtracted-then-added TMSC states and the photon-added-thensubtracted TMSC states. It is found that in the regime of small squeezing values, both of the entanglement and the fidelity for the generated states can perform better than the other cases.

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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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Coherence-assisted non-Gaussian measurement-device-independent quantum key distribution

Cited by 21 publications

References 43 publications

Non-Gaussian operations in measurement device independent quantum key distribution

Non-Gaussian operations in measurement device independent quantum key distribution

Nonclassicality and entanglement properties of non-Gaussian entangled states via a superposition of number-conserving operations

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

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