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Related papers: Cost of quantum secret key

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We investigate the irreversibility of entanglement distillation for a symmetric d-1 parameter family of mixed bipartite quantum states acting on Hilbert spaces of arbitrary dimension d x d. We prove that in this family the entanglement cost…

Quantum Physics · Physics 2009-11-10 K. G. H. Vollbrecht , R. F. Werner , M. M. Wolf

Quantifying the minimum entanglement needed to prepare quantum states and implement quantum processes is a key challenge in quantum information theory. In this work, we develop computable and faithful lower bounds on the entanglement cost…

Quantum Physics · Physics 2025-05-08 Xin Wang , Mingrui Jing , Chengkai Zhu

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

We give an operational meaning to the min-entropy of a quantum state as a resource measure for various interconnected tasks. In particular, we show that the min-entropy without smoothing measures the amount of quantum information that can…

Quantum Physics · Physics 2021-04-28 Seok Hyung Lie , Seongjeon Choi , Hyunseok Jeong

The performance of quantum resource manipulation protocols, including key examples such as distillation of quantum entanglement, is measured in terms of the rate at which desired target states can be produced from a given noisy state.…

Quantum Physics · Physics 2026-05-15 Ludovico Lami , Bartosz Regula , Ryuji Takagi

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 revisit the task of visible compression of an ensemble of quantum states with entanglement assistance in the one-shot setting. The protocols achieving the best compression use many more qubits of shared entanglement than the number of…

Quantum Physics · Physics 2020-07-06 Shima Bab Hadiashar , Ashwin Nayak

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

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…

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 consider secret-key distillation from tripartite compound classical-quantum-quantum (cqq) sources with free forward public communication under strong security criterion. We design protocols which are universally reliable and secure in…

Quantum Physics · Physics 2016-08-10 Holger Boche , Gisbert Janßen

Entanglement is at the heart of quantum theory and is responsible for various quantum-enabling technologies. In practice, during its preparation, storage, and distribution to the intended recipients, this valuable quantum resource may…

Quantum Physics · Physics 2025-05-08 Xiao-Xu Fang , Gelo Noel M. Tabia , Kai-Siang Chen , Yeong-Cherng Liang , He Lu

The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender and receiver) is needed in order to simulate many copies of a quantum channel in the presence of free classical communication. In this…

Quantum Physics · Physics 2015-11-03 Mario Berta , Fernando Brandao , Matthias Christandl , Stephanie Wehner

We present three quantum key distribution protocols using entangled state. In the first two protocols, all Einstein-Podolsky-Rosen pairs are used to distribute a secret key except those chosen for eavesdropping check, because the…

Quantum Physics · Physics 2007-05-23 Jian Wang , Quan Zhang , Chao-jing Tang

The resource theory of quantum coherence is an important topic in quantum information science. Standard coherence distillation and dilution problems have been thoroughly studied. In this paper, we introduce and study the problem of one-shot…

Quantum Physics · Physics 2019-10-23 Senrui Chen , Xingjian Zhang , You Zhou , Qi Zhao

A new paradigm for distributed quantum systems where information is a valuable resource is developed. After finding a unique measure for information, we construct a scheme for it's manipulation in analogy with entanglement theory. In this…

Four-qubit Smolin bound entangled state has a distinct feature: the state is not distillable when every qubit is seperated from each other; but it makes two separated qubit entangled if the other qubits group together. Here the feature is…

Quantum Physics · Physics 2007-05-23 Yafei Yu , Yi Xu , Jin Liu

We initiate a rigorous study of computational entanglement theory, inspired by the emerging usefulness of ideas from quantum information theory in computational complexity. We define new operational computational measures of entanglement --…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Zvika Brakerski , Thomas Vidick

We introduce the concept of mutual independence -- correlations shared between distant parties which are independent of the environment. This notion is more general than the standard idea of a secret key -- it is a fully quantum and more…

Quantum Physics · Physics 2009-11-05 Michal Horodecki , Jonathan Oppenheim , Andreas Winter

We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows that peculiar security contained in bound entangled states does not need high…

Quantum Physics · Physics 2008-06-12 Karol Horodecki , Lukasz Pankowski , Michal Horodecki , Pawel Horodecki