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We investigate absolutely maximally entangled (AME) states, which are multipartite quantum states that are maximally entangled with respect to any possible bipartition. These strong entanglement properties make them a powerful resource for…

Quantum Physics · Physics 2013-06-12 Wolfram Helwig , Wei Cui

We investigate the concept of quantum secret sharing. In a ((k,n)) threshold scheme, a secret quantum state is divided into n shares such that any k of those shares can be used to reconstruct the secret, but any set of k-1 or fewer shares…

Quantum Physics · Physics 2009-10-31 Richard Cleve , Daniel Gottesman , Hoi-Kwong Lo

We establish quantum uncloneable encryption with unconditional security, preventing two non-communicating adversaries from simultaneously decrypting a single ciphertext $-$ even when both are given the key. Our construction achieves…

Quantum Physics · Physics 2026-03-11 Archishna Bhattacharyya , Anne Broadbent , Eric Culf

The impossibility of perfectly copying (or cloning) an arbitrary quantum state is one of the basic rules governing the physics of quantum systems. The processes that perform the optimal approximate cloning have been found in many cases.…

Quantum Physics · Physics 2009-11-11 Valerio Scarani , Sofyan Iblisdir , Nicolas Gisin , Antonio Acin

Quantum information is well-known to achieve cryptographic feats that are unattainable using classical information alone. Here, we add to this repertoire by introducing a new cryptographic functionality called uncloneable encryption. This…

Quantum Physics · Physics 2021-06-25 Anne Broadbent , Sébastien Lord

Absolutely maximally entangled (AME) states are pure multi-partite generalizations of the bipartite maximally entangled states with the property that all reduced states of at most half the system size are in the maximally mixed state. AME…

Quantum Physics · Physics 2018-02-14 Zahra Raissi , Christian Gogolin , Arnau Riera , Antonio Acín

We propose several methods for quantum key distribution (QKD) based upon the generation and transmission of random distributions of coherent or squeezed states, and we show that they are are secure against individual eavesdropping attacks.…

Quantum Physics · Physics 2016-09-08 Frédéric Grosshans , Philippe Grangier

We study optimal eavesdropping in quantum cryptography with three-dimensional systems, and show that this scheme is more secure than protocols using two-dimensional states. We generalize the according eavesdropping transformation to…

Quantum Physics · Physics 2009-11-07 D. Bruss , C. Macchiavello

Encrypted cloning enables the redundant storage of an unknown qubit while remaining compatible with the no-cloning theorem, since only one clone can later be recovered through key-consuming decryption. Because encryption in this protocol is…

Quantum Physics · Physics 2026-04-14 Gabriele Gianini , Omar Hasan , Corrrado Mio , Stelvio Cimato , Ernesto Damiani

Optimal quantum cloning is the process of making one or more copies of an arbitrary unknown input quantum state with the highest possible fidelity. All reported demonstrations of quantum cloning have so far been limited to copying…

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

We consider the quantum cloning of continuous variable entangled states. This is achieved by introducing two symmetric entanglement cloning machines (or e-cloners): a local e-cloner and a global e-cloner; where we look at the preservation…

Quantum Physics · Physics 2009-11-13 Christian Weedbrook , Nicolai B. Grosse , Thomas Symul , Ping Koy Lam , Timothy C. Ralph

We show that non-maximally entangled states can be used to build a quantum key distribution (QKD) scheme whose security and key rate transmission is nearly equivalent to those of standard QKD protocols. These aspects can be controlled by…

Quantum Physics · Physics 2009-11-19 Goren Gordon , Gustavo Rigolin

The no-cloning theorem asserts that, unlike classical information, quantum information cannot be copied. This seemingly undesirable phenomenon is harnessed in quantum cryptography. Uncloneable cryptography studies settings in which the…

Quantum Physics · Physics 2022-10-27 Or Sattath

In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of nonorthogonal states. Moreover, if we wish to copy…

Quantum Physics · Physics 2009-11-10 Fabio Anselmi , Anthony Chefles , Martin B. Plenio

Quantum cloning of two identical mixed qubits $\rho \otimes \rho $ is studied. We propose the quantum cloning transformations not only for the triplet (symmetric) states but also for the singlet (antisymmetric) state. We can copy these two…

Quantum Physics · Physics 2007-07-12 H. Fan , B. Y. Liu , K. J. Shi

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

Cloning machines, that is, transformations that achieve the best approximate copying of a quantum state compatible with the no-cloning theorem, have been a fundamental research topic over the last five years. This study is of particular…

Quantum Physics · Physics 2007-05-23 Nicolas J. Cerf

I present a variety of results on the theory of quantum secret sharing. I show that any mixed state quantum secret sharing scheme can be derived by discarding a share from a pure state scheme, and that the size of each share in a quantum…

Quantum Physics · Physics 2009-10-31 Daniel Gottesman

After analysing the main quantum secret sharing protocol based on the entanglement states, we propose an idea to directly encode the qubit of quantum key distributions, and then present a quantum secret sharing scheme where only product…

Quantum Physics · Physics 2009-11-07 Guo-Ping Guo , Guang-Can Guo