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The Bennett-Brassard 1984 protocol (BB84 protocol) is one of the simplest protocols for implementing quantum key distribution (QKD). In the protocol, the sender and the receiver iteratively choose one of two complementary measurement bases.…

Quantum Physics · Physics 2025-12-01 Shun Kawakami , Atsushi Taniguchi , Yoshihide Tonomura , Koichi Takasugi , Koji Azuma

We present a complete protocol for BB84 quantum key distribution for a realistic setting (noise, loss, multi-photon signals of the source) that covers many of todays experimental implementations. The security of this protocol is shown…

Quantum Physics · Physics 2007-07-10 Hitoshi Inamori , Norbert Lütkenhaus , Dominic Mayers

Encoding quantum information in a quantum error correction (QEC) code enhances protection against errors. Imperfection of quantum devices due to decoherence effects will limit the fidelity of quantum gate operations. In particular, neutral…

Quantum Physics · Physics 2026-03-03 J. J. Postema , S. J. J. M. F. Kokkelmans

Operator quantum error correction provides a unified framework for the known techniques of quantum error correction such as the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method.…

Quantum Physics · Physics 2014-04-25 Ri Qu , Bing-jian Shang , Yan-ru Bao , Yi-ping Ma

The field of quantum computing has experienced a rapid expansion in recent years, with ongoing exploration of new technologies, a decrease in error rates, and a growth in the number of qubits available in quantum processors. However,…

Quantum Physics · Physics 2023-03-16 Samuel Stein , Nathan Wiebe , Yufei Ding , James Ang , Ang Li

To improve the performance of a quantum key distribution (QKD) system, high speed, low dark count single photon detectors (or low noise homodyne detectors) are required. However, in practice, a fast detector is usually noisy. Here, we…

Quantum Physics · Physics 2009-11-13 Bing Qi , Yi Zhao , Xiongfeng Ma , Hoi-Kwong Lo , Li Qian

As quantum key distribution becomes a mature technology, it appears clearly that some assumptions made in the security proofs cannot be justified in practical implementations. This might open the door to possible side-channel attacks. We…

Quantum Physics · Physics 2015-06-05 Paul Jouguet , Sébastien Kunz-Jacques , Eleni Diamanti , Anthony Leverrier

In this paper we consider a three-state variant of the BB84 quantum key distribution (QKD) protocol. We derive a new lower-bound on the key rate of this protocol in the asymptotic scenario and use mismatched measurement outcomes to improve…

Quantum Physics · Physics 2016-06-06 Walter O. Krawec

High-precision optical phase stabilization in quantum networks is fundamentally constrained by the strict photon-flux and duty-cycle limits required to avoid disturbing fragile quantum states. This challenge becomes especially critical when…

The Bennett-Brassard 1984 (BB84) protocol is the most widely implemented quantum key distribution (QKD) scheme. However, despite enormous theoretical and experimental efforts in the past decades, the security of this protocol with imperfect…

The use of decoy states in quantum key distribution (QKD) has provided a method for substantially increasing the secret key rate and distance that can be covered by QKD protocols with practical signals. The security analysis of these…

Quantum Physics · Physics 2009-11-13 Marcos Curty , Tobias Moroder , Xiongfeng Ma , Hoi-Kwong Lo , Norbert Lütkenhaus

Quantum phase estimation is a paradigmatic problem in quantum sensing andmetrology. Here we show that adaptive methods based on classical machinelearning algorithms can be used to enhance the precision of quantum phase estimation when noisy…

Quantum Physics · Physics 2021-09-01 Nelson Filipe Costa , Yasser Omar , Aidar Sultanov , Gheorghe Sorin Paraoanu

There has been much interest in quantum key distribution. Experimentally, quantum key distribution over 150 km of commercial Telecom fibers has been successfully performed. The crucial issue in quantum key distribution is its security.…

Quantum Physics · Physics 2009-11-10 Hoi-Kwong Lo , Xiongfeng Ma , Kai Chen

Quantum key distribution establishes a secret string of bits between two distant parties. Of concern in weak laser pulse schemes is the especially strong photon number splitting attack by an eavesdropper, but the decoy state method can…

Quantum Physics · Physics 2007-05-23 Jim W. Harrington , J. Mark Ettinger , Richard J. Hughes , Jane E. Nordholt

We consider the problem of fault-tolerant quantum computation in the presence of slow error diagnostics, either caused by measurement latencies or slow decoding algorithms. Our scheme offers a few improvements over previously existing…

Quantum Physics · Physics 2018-01-08 Christopher Chamberland , Pavithran Iyer , David Poulin

We address the challenge of incorporating encoded quantum memories into an exact secret key rate analysis for small and intermediate-scale quantum repeaters. To this end, we introduce the check matrix model and quantify the resilience of…

Quantum Physics · Physics 2025-02-12 Alena Romanova , Peter van Loock

In this paper, we present a flowchart-based description of the decoy-state BB84 quantum key distribution (QKD) protocol and provide a step-by-step, self-contained information-theoretic security proof for this protocol within the universal…

Quantum Physics · Physics 2025-05-27 Akihiro Mizutani , Toshihiko Sasaki , Go Kato

We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state…

Quantum Physics · Physics 2009-11-07 Mohamed Bourennane , Anders Karlsson , Gunnar Bjork , Nicolas Gisin , Nicolas Cerf

Quantum cryptography is now considered as a promising technology due to its promise of unconditional security. In recent years, rigorous work is being done for the experimental realization of quantum key distribution (QKD) protocols to…

Quantum Physics · Physics 2024-01-02 Satish Kumar , Priya Malpani , Britant , Sandeep Mishra , Anirban Pathak

In this paper we present quantum key distribution protocol that, instead of single qubits, uses mesoscopic coherent states of light $|\alpha\rangle$ to encode bit values of a randomly generated key. Given the reference value…

Quantum Physics · Physics 2017-05-04 G. A. Barbosa , J. van de Graaf , P. Mateus , N. Paunković