Symmetry-Protected Privacy: Beating the Rate-Distance Linear Bound Over a Noisy Channel

Zeng, Pei; Wu, Wei; Ma, Xiongfeng

doi:10.1103/physrevapplied.13.064013

Cited by 45 publications

(68 citation statements)

References 32 publications

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“…The security analysis of asymptotic case is considered, so there are no statistical fluctuations. The analysis method of the phase error rate that we use comes from [ 39 ], which is an important new viewpoint of QKD security, establishing the relationship between the symmetric encoding and privacy with the standard phase-error-correction approach [ 40 ], and we summarize briefly as follows.…”

Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

“…If the joint state

is a pure of even or odd state, the symmetric encoding PM-QKD protocol is perfectly private, the phase error rate

, if the joint state

is a mixture of even and odd state,

, the phase error rate

, the effective detection ratios of odd and even components of signal state are estimated by [ 39 ]

where

is the total gain of mixture signal state

and

are the yield of odd signal state

and even signal state

, respectively.…”

Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

“…The overall phase error rate comes from the even components, which is estimated by [ 39 ]

where

is given by the above section,

is given by the experiment results, the important task is to estimate the parameter

.…”

Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

“…Therein, Reference [ 38 ] uses a different security poof method with Reference [ 8 ], and there is no in-depth formula derivation in the decoy state PM-QKD with discrete phase randomization. In this paper, we focus on these discrete global phase randomization issues in the PM-QKD protocol [ 39 ], study a concrete attack against PM-QKD with imperfect phase randomization, apply the decoy-state method to derive the single photon yield formula to exhibit performance of the key rate and compare the yield difference of continuous phase randomization with discrete phase randomization.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phase-Matching Quantum Key Distribution with Discrete Phase Randomization

Xiao-xu

Wang

Jiang

et al. 2021

Entropy

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The twin-field quantum key distribution (TF-QKD) protocol and its variations have been proposed to overcome the linear Pirandola–Laurenza–Ottaviani–Banchi (PLOB) bound. One variation called phase-matching QKD (PM-QKD) protocol employs discrete phase randomization and the phase post-compensation technique to improve the key rate quadratically. However, the discrete phase randomization opens a loophole to threaten the actual security. In this paper, we first introduce the unambiguous state discrimination (USD) measurement and the photon-number-splitting (PNS) attack against PM-QKD with imperfect phase randomization. Then, we prove the rigorous security of decoy state PM-QKD with discrete phase randomization. Simulation results show that, considering the intrinsic bit error rate and sifting factor, there is an optimal discrete phase randomization value to guarantee security and performance. Furthermore, as the number of discrete phase randomization increases, the key rate of adopting vacuum and one decoy state approaches infinite decoy states, the key rate between discrete phase randomization and continuous phase randomization is almost the same.

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Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

“…If the joint state

is a pure of even or odd state, the symmetric encoding PM-QKD protocol is perfectly private, the phase error rate

, if the joint state

is a mixture of even and odd state,

, the phase error rate

, the effective detection ratios of odd and even components of signal state are estimated by [ 39 ]

where

is the total gain of mixture signal state

and

are the yield of odd signal state

and even signal state

, respectively.…”

Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

“…The overall phase error rate comes from the even components, which is estimated by [ 39 ]

where

is given by the above section,

is given by the experiment results, the important task is to estimate the parameter

.…”

Section: The Protocol Of Pm-qkdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase-Matching Quantum Key Distribution with Discrete Phase Randomization

Xiao-xu

Wang

Jiang

et al. 2021

Entropy

View full text Add to dashboard Cite

show abstract

“…The key rate at different transmission distances for PM-QKD is shown as the blue solid line in Figure 2, which scales to √ . PLOB bound [16] Single repeater bound [56] Decoy-state BB84 [60] Decoy-state MDI-QKD [61] PM-QKD [74] NPP-TF-QKD [29] SNS-TF-QKD [73] Figure 2. Simulation of key rates for various protocols.…”

Section: Proving Its Securitymentioning

confidence: 99%

Recent Advances on Quantum Key Distribution Overcoming the Linear Secret Key Capacity Bound

2020

Self Cite

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A crucial goal for quantum key distribution (QKD) is to transmit unconditionally secure keys over long distances. Previous studies show that the key rate of point-to-point QKD is limited by a secret key rate capacity bound, and higher key rates would require quantum repeaters. In 2018, the seminal twin-field (TF) QKD protocol was proposed to provide a remarkable solution to overcoming the linear secret key capacity bound. This article presents an up-to-date survey on recent developments in this area, including the security proofs of phase-matching QKD and other TF-QKD type protocols, the theoretical examinations of these protocols under realistic conditions, and the recent experimental demonstrations.

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Source‐Replacement Model for Phase‐Matching Quantum Key Distribution

Huang,

Du,

2023

Adv Quantum Tech

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Quantum key distribution has emerged as a promising solution for constructing secure communication networks, with its information‐theoretic security rooted in quantum mechanics. One of the recent quantum key distribution protocols, the phase‐matching protocol, can have a quadratic key‐rate improvement. Its security was initially established using an abstract method known as symmetry‐protected privacy. In this study, this security is reevaluated under the more intuitive source‐replacement model, arriving at the same conclusions as the original proof. This model provides a fresh perspective on the protocol's security. As an application of this approach, a beam‐splitting attack is introduced. Leveraging the source‐replacement model, a lower bound on the phase error rate under this attack is derived, further underscoring the robustness of our security analysis method.

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Symmetry-Protected Privacy: Beating the Rate-Distance Linear Bound Over a Noisy Channel

Cited by 45 publications

References 32 publications

Phase-Matching Quantum Key Distribution with Discrete Phase Randomization

Phase-Matching Quantum Key Distribution with Discrete Phase Randomization

Recent Advances on Quantum Key Distribution Overcoming the Linear Secret Key Capacity Bound

Source‐Replacement Model for Phase‐Matching Quantum Key Distribution

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