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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

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 give a proof that entanglement purification, even with noisy apparatus, is sufficient to disentangle an eavesdropper (Eve) from the communication channel. In the security regime, the purification process factorises the overall initial…

Quantum Physics · Physics 2009-11-07 Hans Aschauer , Hans J. Briegel

We give a security proof of quantum cryptography based entirely on entanglement purification. Our proof applies to all possible attacks (individual and coherent). It implies the security of cryptographic keys distributed with the help of…

Quantum Physics · Physics 2016-09-08 Hans Aschauer , Hans J. Briegel

The theory of quantum cryptography aims to guarantee unconditional information-theoretic security against an omnipotent eavesdropper. In many practical scenarios, however, the assumption of an all-powerful adversary is excessive and can be…

By sending systems in specially prepared quantum states, two parties can communicate without an eavesdropper being able to listen. The technique, called quantum cryptography, enables one to verify that the state of the quantum system has…

Quantum Physics · Physics 2009-11-13 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Debbie Leung , Jonathan Oppenheim

By carrying out measurements on entangled states, two parties can generate a secret key which is secure not only against an eavesdropper bound by the laws of quantum mechanics, but also against a hypothetical "post-quantum" eavesdroppers…

Quantum Physics · Physics 2007-10-22 Antonio Acin , Serge Massar , Stefano Pironio

In single-qubit quantum secret sharing, a secret is shared between N parties via manipulation and measurement of one qubit at a time. Each qubit is sent to all N parties in sequence; the secret is encoded in the first participant's…

Quantum Physics · Physics 2011-09-12 P. Scherpelz , R. Resch , D. Berryrieser , T. W. Lynn

We give a proof that entanglement purification, even with noisy apparatus, is sufficient to disentangle an eavesdropper (Eve) from the communication channel. Our proof applies to all possible attacks (individual and coherent). Due to the…

Quantum Physics · Physics 2009-11-07 Hans Aschauer , Hans J. Briegel

In quantum key distribution, one conservatively assumes that the eavesdropper Eve is restricted only by physical laws, whereas the legitimate parties, namely the sender Alice and receiver Bob, are subject to realistic constraints, such as…

Quantum Physics · Physics 2018-07-18 Vishal Sharma , U. Shrikant , R. Srikanth , Subhashish Banerjee

We derive a formal connection between quantum data hiding and quantum privacy, confirming the intuition behind the construction of bound entangled states from which secret bits can be extracted. We present three main results. First, we show…

Quantum Physics · Physics 2018-02-21 Matthias Christandl , Roberto Ferrara

Entanglement distillation, a fundamental building block of quantum networks, enables the purification of noisy entangled states shared among distant nodes by local operations and classical communication. Its practical realization presents…

Quantum Physics · Physics 2026-05-27 Jaemin Kim , Karthik Mohan , Sung Won Yun , Joonwoo Bae

We prove the security of a high-capacity quantum key distribution protocol over noisy channels. By using entanglement purification protocol, we construct a modified version of the protocol in which we separate it into two consecutive…

Quantum Physics · Physics 2007-05-23 Xiao-Wei Zhang , Kai Wen , Gui Lu Long

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

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the…

Quantum Physics · Physics 2009-01-23 D. Deutsch , A. Ekert , R. Jozsa , C. Macchiavello , S. Popescu , A. Sanpera

We show that weakly entangled states can improve communication over a qubit channel using only separate, interference-free, measurements of individual photons. We introduce a communication task corresponding to the cryptographic primitive…

We report experimental generation of a noisy entangled four-photon state that exhibits a separation between the secure key contents and distillable entanglement, a hallmark feature of the recently established quantum theory of private…

Provable entanglement has been shown to be a necessary precondition for unconditionally secure key generation in the context of quantum cryptographic protocols. We estimate the maximal threshold disturbance up to which the two legitimate…

Quantum Physics · Physics 2007-05-23 G. M. Nikolopoulos , A. Khalique , G. Alber

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. For an important class of protocols, which…

Quantum cryptography shows that one can guarantee the secrecy of correlation on the sole basis of the laws of physics, that is without limiting the computational power of the eavesdropper. The usual security proofs suppose that the…

Quantum Physics · Physics 2009-11-13 Valerio Scarani , Nicolas Gisin , Nicolas Brunner , Lluis Masanes , Sergi Pino , Antonio Acin
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