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The security of a cryptographic key that is generated by communication through a noisy quantum channel relies on the ability to distill a shorter secure key sequence from a longer insecure one. We show that -- for protocols that use quantum…

Quantum Physics · Physics 2015-06-26 Dagomir Kaszlikowski , Jenn Yang Lim , Leong Chuang Kwek , Berthold-Georg Englert

We report that, for the generation of a secure cryptographic key from correlations established through a noisy quantum channel, the quantum and classical advantage distillation procedures are not equivalent, when coherent eavesdropping…

Quantum Physics · Physics 2007-05-23 Dagomir Kaszlikowski , Lim Jenn Yang , L. C. Kwek , Berthold-Georg Englert

Realizing secure communication between distant parties is one of quantum technology's main goals. Although quantum key distribution promises information-theoretic security for sharing a secret key, the key rate heavily depends on the level…

Quantum Physics · Physics 2025-11-05 Shin Sun , Kenneth Goodenough , Daniel Bhatti , David Elkouss

We analyze the security of quantum cryptography schemes for $d$-level systems using 2 or $d+1$ maximally conjugated bases, under individual eavesdropping attacks based on cloning machines and measurement after the basis reconciliation. We…

Quantum Physics · Physics 2007-05-23 Antonio Acin , Nicolas Gisin , Valerio Scarani

We present a generalized tomographic quantum key distribution protocol in which the two parties share a Bell diagonal mixed state of two qubits. We show that if an eavesdropper performs a coherent measurement on many quantum ancilla states…

Prepare and measure quantum key distribution protocols can be decomposed into two basic steps: delivery of the signals over a quantum channel and distillation of a secret key from the signal and measurement records by classical processing…

Quantum Physics · Physics 2007-05-23 Joseph M. Renes , Markus Grassl

Cryptography plays a pivotal role in safeguarding sensitive information and facilitating secure communication. Classical cryptography relies on mathematical computations, whereas quantum cryptography operates on the principles of quantum…

Cryptography and Security · Computer Science 2024-03-31 Tanmay Tripathi , Abhinav Awasthi , Shaurya Pratap Singh , Atul Chaturvedi

We provide a simple security proof for prepare & measure quantum key distribution protocols employing noisy processing and one-way postprocessing of the key. This is achieved by showing that the security of such a protocol is equivalent to…

Quantum Physics · Physics 2007-05-23 Joseph M. Renes , Graeme Smith

Quantum key distribution promises information-theoretically secure communication, with data post-processing playing a vital role in extracting secure keys from raw data. While hardware advancements have significantly improved practical…

Quantum Physics · Physics 2025-12-01 Zhenyu Du , Guoding Liu , Xingjian Zhang , Xiongfeng Ma

In this work, we prove security of a quantum conference key agreement (QCKA) protocol augmented with a classical advantage distillation (CAD) protocol. We derive a proof of security, in the finite key setting, that is able to bound the…

Quantum Physics · Physics 2025-04-16 Walter O. Krawec

We consider the extraction of shared secret key from correlations that are generated by either a classical or quantum source. In the classical setting, two honest parties (Alice and Bob) use public discussion and local randomness to distill…

Quantum Physics · Physics 2015-10-27 Eric Chitambar , Benjamin Fortescue , Min-Hsiu Hsieh

The quantum states corresponding to a secret key are characterized using the so-called private states, where the key part consisting of a secret key is shielded by the additional systems. Based on the construction, it was shown that a…

Quantum Physics · Physics 2010-09-23 Joonwoo Bae

We derive a sufficient condition for advantage distillation to be secure against collective attacks in device-independent quantum key distribution (DIQKD), focusing on the repetition-code protocol. In addition, we describe a semidefinite…

Quantum Physics · Physics 2020-05-19 Ernest Y. -Z. Tan , Charles C. -W. Lim , Renato Renner

We provide a general formalism to characterize the cryptographic properties of quantum channels in the realistic scenario where the two honest parties employ prepare and measure protocols and the known two-way communication reconciliation…

Quantum Physics · Physics 2010-09-23 Joonwoo Bae , Antonio Acin

We develop a formalism for distilling a classical key from a quantum state in a systematic way, expanding on our previous work on secure key from bound entanglement [K. Horodecki et. al., Phys. Rev. Lett. 94 (2005)]. More detailed proofs,…

Quantum Physics · Physics 2016-11-17 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

Complete security proofs for quantum communication protocols can be notoriously involved, which convolutes their verification, and obfuscates the key physical insights the security finally relies on. In such cases, for the majority of the…

Quantum Physics · Physics 2019-03-27 A. Pirker , M. Zwerger , V. Dunjko , H. J. Briegel , W. Dür

When the 4-state or the 6-state protocol of quantum cryptography is carried out on a noisy (i.e. realistic) quantum channel, then the raw key has to be processed to reduce the information of an adversary Eve down to an arbitrarily low…

Quantum Physics · Physics 2009-01-23 N. Gisin , S. Wolf

We present a security proof for establishing private entanglement by means of recurrence-type entanglement distillation protocols over noisy quantum channels. We consider protocols where the local devices are imperfect, and show that…

Quantum Physics · Physics 2017-11-20 Alexander Pirker , Vedran Dunjko , Wolfgang Dür , Hans J. Briegel

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

Information Theory · Computer Science 2008-04-05 Kai Chen , Hoi-Kwong Lo

We study the problem of secret key distillation from bipartite states in the scenario where Alice and Bob can only perform measurements at the single-copy level and classically process the obtained outcomes. Even with these limitations,…

Quantum Physics · Physics 2009-11-10 Antonio Acin , Lluis Masanes , Nicolas Gisin
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