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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…

量子物理 · 物理学 2009-11-10 K. G. H. Vollbrecht , R. F. Werner , M. M. Wolf

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…

信息论 · 计算机科学 2008-04-05 Kai Chen , Hoi-Kwong Lo

We find that a bipartite quantum state is entangled if and only if it is quantum coherent with respect to complete bases of states in the corresponding system that are distinguishable under local quantum operations and classical…

量子物理 · 物理学 2022-01-19 Asmitha Mekala , Ujjwal Sen

We prove unconditional security for a quantum key distribution (QKD) protocol based on distilling pbits (twisted ebits) [quant-ph/0309110] from an arbitrary untrusted state that is claimed to contain distillable key. Our main result is that…

量子物理 · 物理学 2016-11-18 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Debbie Leung , Jonathan Oppenheim

Hereunder, we study the class of irreducible private states that are private states from which all the secret content is accessible via measuring their key part. We provide the first protocol which distills key not only from the key part,…

量子物理 · 物理学 2018-08-21 K. Horodecki , P. Ćwikliński , A. Rutkowski , M. Studziński

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…

量子物理 · 物理学 2008-04-03 Kai Chen , Hoi-Kwong Lo

We relate the problem of irreversibility of entanglement with the recently defined measures of quantum correlation - quantum discord and one-way quantum deficit. We show that the entanglement of formation is always strictly larger than the…

量子物理 · 物理学 2011-07-11 Marcio F. Cornelio , Marcos C. de Oliveira , Felipe F. Fanchini

This thesis presents a study of the structure of bipartite quantum states. In the first part, the representation theory of the unitary and symmetric groups is used to analyse the spectra of quantum states. In particular, it is shown how to…

量子物理 · 物理学 2007-05-23 Matthias Christandl

We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 \bigotimes 4. Our class is a generalization of the class presented in [1] (IEEE Trans. Inf. Theory 54, 2621…

量子物理 · 物理学 2010-12-15 Łukasz Pankowski , Michał Horodecki

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…

量子物理 · 物理学 2008-06-12 Karol Horodecki , Lukasz Pankowski , Michal Horodecki , Pawel Horodecki

Quantum secret sharing allows each player to have classical information for secret sharing in quantum mechanical ways. In this work, we construct a class of quantum states on which players can quantumly perform secret sharing secure against…

量子物理 · 物理学 2021-02-03 Minjin Choi , Soojoon Lee

This paper tries to probe the relation between the local distinguishability of orthogonal quantum states and the distillation of entanglement. An new interpretation for the distillation of entanglement and the distinguishability of…

量子物理 · 物理学 2007-05-23 Ping-Xing Chen , Cheng-Zu Li

Assume that Alice, Bob, and Charlie share a tripartite pure state $|\psi_{ABC}\rangle$. We prove that if Alice cannot distill entanglement with either Bob or Charlie using $|\psi_{ABC}\rangle$ and local operations with any one of the…

量子物理 · 物理学 2024-10-24 Satvik Singh , Nilanjana Datta

We investigate the task of conference key agreement in near-term quantum networks, where the nodes are connected by sources of bipartite entangled states, under the class of local operations not requiring quantum memory. We derive upper…

量子物理 · 物理学 2026-05-19 Justus Neumann , Hermann Kampermann , Dagmar Bruß , Anton Trushechkin

We construct a class of entangled states in $\mathcal{H}=\mathcal{H}_{A}\otimes\mathcal{H}_{B}\otimes\mathcal{H}_{C}$ quantum systems with $dim\mathcal{H}_{A}=dim\mathcal{H}_{B}=dim\mathcal{H}_{C}=2$ and classify those states with respect…

量子物理 · 物理学 2015-09-25 Hui Zhao , Xinyu Yu , Naihuan Jing

Entanglement is at the heart of most quantum information tasks, and therefore considerable effort has been made to find methods of deciding the entanglement content of a given bipartite quantum state. Here, we prove a fundamental limitation…

量子物理 · 物理学 2016-06-15 Claudio Carmeli , Teiko Heinosaari , Antti Karlsson , Jussi Schultz , Alessandro Toigo

Entanglement is a fundamental resource for quantum information processing. In its pure form, it allows quantum teleportation and sharing classical secrets. Realistic quantum states are noisy and their usefulness is only partially…

量子物理 · 物理学 2014-04-15 Maris Ozols , Graeme Smith , John A. Smolin

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…

Bit commitment involves the submission of evidence from one party to another so that the evidence can be used to confirm a later revealed bit value by the first party, while the second party cannot determine the bit value from the evidence…

量子物理 · 物理学 2007-05-23 H. P. Yuen

We determine the optimal entanglement rate of quantum state merging when assuming that the state is unknown except for its membership in a certain set of states. We find that merging is possible at the lowest rate allowed by the individual…

量子物理 · 物理学 2014-01-15 Igor Bjelaković , Holger Boche , Gisbert Janßen