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We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in…

Quantum Physics · Physics 2007-05-23 Hoi-Kwong Lo

The six-state protocol is a discrete-variable protocol for quantum key distribution, that permits to tolerate a noisier channel than the BB84 protocol. In this work we provide a lower bound on the maximum achievable key rate of a practical…

Quantum Physics · Physics 2011-11-14 Silvestre Abruzzo , Markus Mertz , Hermann Kampermann , Dagmar Bruß

The squash operation, or the squashing model, is a useful mathematical tool for proving the security of quantum key distribution systems using practical (i.e., non-ideal) detectors. At the present, however, this method can only be applied…

Quantum Physics · Physics 2016-10-26 Toyohiro Tsurumaru , Tsubasa Ichikawa

Standard security proofs of quantum key distribution (QKD) protocols often rely on symmetry arguments. In this paper, we prove the security of a three-state protocol that does not possess rotational symmetry. The three-state QKD protocol we…

Quantum Physics · Physics 2007-05-23 Chi-Hang Fred Fung , Hoi-Kwong Lo

Measurements with photodetectors necessarily need to be described in the infinite dimensional Fock space of one or several modes. For some measurements a model has been postulated which describes the full mode measurement as a composition…

Quantum Physics · Physics 2008-09-17 Normand J. Beaudry , Tobias Moroder , Norbert Lütkenhaus

We analyze the set of two-qubit states from which a secret key can be extracted by single-copy measurements plus classical processing of the outcomes. We introduce a key distillation protocol and give the corresponding necessary and…

Quantum Physics · Physics 2016-08-16 A. Acín , J. Bae , E. Bagan , M. Baig , Ll. Masanes , R. Muñoz-Tapia

All phase-encoded BB84 implementations have signal states with unbalanced amplitudes in practice. Thus, the original security analyses a priori do not apply to them. Previous security proofs use signal tagging of multi-photon pulses to…

Quantum Physics · Physics 2020-11-03 Nicky Kai Hong Li , Norbert Lütkenhaus

The security of quantum key distribution (QKD) has been proven for different protocols, in particular for the BB84 protocol. It has been shown that this scheme is robust against eventual imperfections in the state preparation, and sending…

Quantum Physics · Physics 2018-12-05 Davide Rusca , Alberto Boaron , Marcos Curty , Anthony Martin , Hugo Zbinden

Quantum key distribution (QKD) protocols are cryptographic techniques with security based only on the laws of quantum mechanics. Two prominent QKD schemes are the BB84 and B92 protocols that use four and two quantum states, respectively. In…

Quantum Physics · Physics 2009-11-10 J. -C. Boileau , K. Tamaki , J. Batuwantudawe , R. Laflamme , J. M. Renes

This paper begins with a simple proof of the existence of squash operators compatible with the Bennett-Brassard 1984 (BB84) protocol which suits single-mode as well as multi-mode threshold detectors. The proof shows that, when a given…

Quantum Physics · Physics 2010-03-16 Toyohiro Tsurumaru

We consider the security of the BB84, six-state and SARG04 quantum key distribution protocols when the eavesdropper doesn't have access to a quantum memory. In this case, Eve's most general strategy is to measure her ancilla with an…

Quantum Physics · Physics 2015-05-28 Aurélien Bocquet , Anthony Leverrier , Romain Alléaume

Quantum key distribution using three states in equiangular configuration combines a security threshold comparable with the one of the Bennett-Brassard 1984 protocol and a quantum bit error rate (QBER) estimation that does not need to reveal…

Quantum Physics · Physics 2016-08-02 Matteo Schiavon , Giuseppe Vallone , Paolo Villoresi

We study cheating strategies against a practical four-state quantum bit-commitment protocol and its two-state variant when the underlying quantum channels are noisy and the cheating party is constrained to using single-qubit measurements…

We give an entanglement assisted scheme for quantum key distribution. The scheme requires the maximally entangled 2-qubit state but does not require any quantum storage. The scheme is unconditionally secure under whatever Eve's attack.…

Quantum Physics · Physics 2016-09-08 Xiang-Bin Wang

Shor and Preskill have provided a simple proof of security of the standard quantum key distribution scheme by Bennett and Brassard (BB84) by demonstrating a connection between key distribution and entanglement purification protocols with…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Hoi-Kwong Lo

Quantum key distribution (QKD) is a secure communication method that utilizes the principles of quantum mechanics to establish secret keys. The central task in the study of QKD is to prove security in the presence of an eavesdropper with…

Quantum Physics · Physics 2023-09-14 Sirui Peng , Xiaoming Sun , Hongyi Zhou

This note presents a method of public key distribution using quantum communication of n photons that simultaneously provides a high probability that the bits have not been tampered. It is a three-state variant of the quantum method of…

Quantum Physics · Physics 2009-06-19 Subhash Kak

In this paper, we rigorously prove the intuition that in security proofs for BB84 one may regard an incoming signal to Bob as a qubit state. From this result, it follows that all security proofs for BB84 based on a virtual qubit…

Quantum Physics · Physics 2008-09-11 Toyohiro Tsurumaru , Kiyoshi Tamaki

BB84-based quantum key distribution system is limited in high speed and chip integration due to the requirement of four states preparation and measurement. Recently, the simplified BB84 protocol with only three states preparation and…

Quantum Physics · Physics 2020-06-19 Hua-Lei Yin , Zeng-Bing Chen

We present and analyze a quantum key distribution protocol based on sending entangled N-qubit states instead of single-qubit ones as in the trail-blazing scheme by Bennett and Brassard (BB84). Since the qubits are sent individually, an…

Quantum Physics · Physics 2008-10-07 Olli Ahonen , Mikko Mottonen , Jeremy L. O'Brien
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