Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1609.03911 · Physical Review A

Entanglement verification with detection-efficiency mismatch

Yanbao Zhang, Norbert Lütkenhaus

Published Apr 14, 2017• 15 citations
arXivHTMLPDF

Abstract

The security analysis of quantum key distribution is difficult to perform when there is efficiency mismatch between various threshold detectors involved in an experimental setup. Even the verification that the device actually performs in the quantum domain, referred to as the task of entanglement verification, is hard to perform. In this article we provide such an entanglement-verification method for characterized detection-efficiency mismatch. Our method does not rely on a cutoff of photon numbers in the optical signal. It can be applied independently of the degrees of freedom involved, thus covering, for example, efficiency mismatch in polarization and time-bin modes, but also in spatial modes. The evaluation of typical experimental scenarios suggests that an increase of detection-efficiency mismatch will drive the performance of a given setup out of the quantum domain.

DOI
10.1103/physreva.95.042319

Related papers

Security proof of practical quantum key distribution with detection-efficiency mismatch

Yanbao Zhang, Patrick J. Coles, Adam Winick +2 more

Quantum key distribution (QKD) protocols with threshold detectors are driving high-performance QKD demonstrations.The corresponding security proofs usually assume that all physical detectors have the same detection efficiency.However, the efficiencies of the detectors used in practice might show a mismatch depending on the manufacturing and setup of these detectors.A mismatch can also be induced as the different spatialtemporal modes of an incoming signal might couple differently to a detector.Here we develop a method that allows to provide security proofs without the usual assumption.Our method can take the detection-efficiency mismatch into account without having to restrict the attack strategy of the adversary.Especially, we do not rely on any photon-number cutoff of incoming signals such that our security proof is directly applicable to practical situations.We illustrate our method for a receiver that is designed for polarization encoding and is sensitive to a number of spatial-temporal modes.In our detector model, the absence of quantum interference between any pair of spatial-temporal modes is assumed.For a QKD protocol with this detector model, we can perform a security proof with characterized efficiency mismatch and without photon-number cutoff assumption.Our method also shows that in the absence of efficiency mismatch in our detector model, the key rate increases if the loss due to detection inefficiency is assumed to be outside of the adversary's control, as compared to the view where for a security proof this loss is attributed to the action of the adversary.

arXiv:2004.04383•Physical Review Research•Jan 25, 2021•50 citations

Security proof of quantum key distribution with detection efficiency mismatch

Chi‐Hang Fred Fung, Kiyoshi Tamaki, B. Qi +2 more

In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.

Quantum Information and Computation•Jan 1, 2009•46 citations

Security proof of quantum key distribution with detection efficiency mismatch

Chi‐Hang Fred Fung, Kiyoshi Tamaki, Bing Qi +2 more

In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.

arXiv:0802.3788•Feb 26, 2008•2 citations

08 SECURITY PROOF OF QUANTUM KEY DISTRIBUTION WITH DETECTION EFFICIENCY MISMATCH

Chi‐Hang Fred Fung, Kiyoshi Tamaki, Bing Qi +2 more

In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.

•Aug 16, 2016•66 citations

Detection Efficiency Mismatch and Finite-Key-Size Attacks on Practical Quantum Cryptography Systems

Poompong Chaiwongkhot

Security verification for the physical implementation of a cryptography system is an important step to ensure the security level promised by theory. As has been shown many times, any physical device has characteristics and behavior that deviate from theoretical expectations. Frequently, those lead to new security loopholes. \n \nThis thesis presents three experimental studies of attacks on quantum key distribution (QKD) systems. The first is the detection efficiency mismatch on free-space systems, which takes advantage of alignment imperfections in Bob's detector to control detection efficiencies. The experiment was done on a polarization-encoding free-space receiver to find the detection efficiencies of each detector for different spatial modes of an incoming photon. Those results were put into an optimization program, which modeled an intercept-and-resend attack on a non-decoy Bennett-Brassard 1984 (BB84) protocol. The result shows that an adversary is able to gain information about the key without being detected by Alice and Bob. The second study is an experimental test of reliability of a spatial filter (a pinhole), which is proposed as a countermeasure for the previous attack. The result shows that, by sending a high-power laser beam focused on the pinhole, the pinhole can be widened without affecting other components in the receiver. Thus, the ability to perform a spatial mode detection efficiency-mismatch attack is recovered. The last experiment is a demonstration of Eve's ability to force a commercial system to distill a key from a raw key of a short length, where the asymptotic assumption of security claimed by the manufacturer might not hold. It was shown that this could be done by inducing transmission loss in the channel at an appropriate time.

•Jan 14, 2016•0 citations

Security of quantum key distribution with detection-efficiency mismatch in the multiphoton case

Anton Sergeevich Trushechkin

Detection-efficiency mismatch is a common problem in practical quantum key distribution (QKD) systems. Current security proofs of QKD with detection-efficiency mismatch rely either on the assumption of the single-photon light source on the sender side or on the assumption of the single-photon input of the receiver side. These assumptions impose restrictions on the class of possible eavesdropping strategies. Here we present a rigorous security proof without these assumptions and, thus, solve this important problem and prove the security of QKD with detection-efficiency mismatch against general attacks (in the asymptotic regime). In particular, we adapt the decoy state method to the case of detection-efficiency mismatch.

arXiv:2004.07809•Quantum•Jul 22, 2022•22 citations
The security analysis of quantum key distribution is difficult to perform when there is efficiency mismatch between various threshold detectors involved in an experimental setup. Even the verification that the device actually performs in the quantum domain, referred to as the task of entanglement verification, is hard to perform. In this article we provide such an entanglement-verification method for characterized detection-efficiency mismatch. Our method does not rely on a cutoff of photon numbers in the optical signal. It can be applied independently of the degrees of freedom involved, thus covering, for example, efficiency mismatch in polarization and time-bin modes, but also in spatial modes. The evaluation of typical experimental scenarios suggests that an increase of detection-efficiency mismatch will drive the performance of a given setup out of the quantum domain.
Quantum key distribution (QKD) protocols with threshold detectors are driving high-performance QKD demonstrations.The corresponding security proofs usually assume that all physical detectors have the same detection efficiency.However, the efficiencies of the detectors used in practice might show a mismatch depending on the manufacturing and setup of these detectors.A mismatch can also be induced as the different spatialtemporal modes of an incoming signal might couple differently to a detector.Here we develop a method that allows to provide security proofs without the usual assumption.Our method can take the detection-efficiency mismatch into account without having to restrict the attack strategy of the adversary.Especially, we do not rely on any photon-number cutoff of incoming signals such that our security proof is directly applicable to practical situations.We illustrate our method for a receiver that is designed for polarization encoding and is sensitive to a number of spatial-temporal modes.In our detector model, the absence of quantum interference between any pair of spatial-temporal modes is assumed.For a QKD protocol with this detector model, we can perform a security proof with characterized efficiency mismatch and without photon-number cutoff assumption.Our method also shows that in the absence of efficiency mismatch in our detector model, the key rate increases if the loss due to detection inefficiency is assumed to be outside of the adversary's control, as compared to the view where for a security proof this loss is attributed to the action of the adversary.
In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.
In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.
In theory, quantum key distribution (QKD) offers unconditional security based on the laws of physics. However, as demonstrated in recent quantum hacking theory and experimental papers, detection efficiency loophole can be fatal to the security of practical QKD systems. Here, we describe the physical origin of detection efficiency mismatch in various domains including spatial, spectral, and time domains and in various experimental set-ups. More importantly, we prove the unconditional security of QKD even with detection efficiency mismatch. We explicitly show how the key generation rate is characterized by the maximal detection efficiency ratio between the two detectors. Furthermore, we prove that by randomly switching the bit assignments of the detectors, the effect of detection efficiency mismatch can be completely eliminated.
Security verification for the physical implementation of a cryptography system is an important step to ensure the security level promised by theory. As has been shown many times, any physical device has characteristics and behavior that deviate from theoretical expectations. Frequently, those lead to new security loopholes. \n \nThis thesis presents three experimental studies of attacks on quantum key distribution (QKD) systems. The first is the detection efficiency mismatch on free-space systems, which takes advantage of alignment imperfections in Bob's detector to control detection efficiencies. The experiment was done on a polarization-encoding free-space receiver to find the detection efficiencies of each detector for different spatial modes of an incoming photon. Those results were put into an optimization program, which modeled an intercept-and-resend attack on a non-decoy Bennett-Brassard 1984 (BB84) protocol. The result shows that an adversary is able to gain information about the key without being detected by Alice and Bob. The second study is an experimental test of reliability of a spatial filter (a pinhole), which is proposed as a countermeasure for the previous attack. The result shows that, by sending a high-power laser beam focused on the pinhole, the pinhole can be widened without affecting other components in the receiver. Thus, the ability to perform a spatial mode detection efficiency-mismatch attack is recovered. The last experiment is a demonstration of Eve's ability to force a commercial system to distill a key from a raw key of a short length, where the asymptotic assumption of security claimed by the manufacturer might not hold. It was shown that this could be done by inducing transmission loss in the channel at an appropriate time.
Detection-efficiency mismatch is a common problem in practical quantum key distribution (QKD) systems. Current security proofs of QKD with detection-efficiency mismatch rely either on the assumption of the single-photon light source on the sender side or on the assumption of the single-photon input of the receiver side. These assumptions impose restrictions on the class of possible eavesdropping strategies. Here we present a rigorous security proof without these assumptions and, thus, solve this important problem and prove the security of QKD with detection-efficiency mismatch against general attacks (in the asymptotic regime). In particular, we adapt the decoy state method to the case of detection-efficiency mismatch.