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A secret sharing scheme is a cryptographic protocol to distribute a secret state in an encoded form among a group of players such that only authorized subsets of the players can reconstruct the secret. Classically, efficient secret sharing…

Quantum Physics · Physics 2010-07-08 Pradeep Sarvepalli , Robert Raussendorf

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

In [1], it is shown that the simultaneous identification capacity region for the discrete, memoryless, classical-quantum multiple access channel is equal to the transmission capacity region for codes using a deterministic encoding scheme.…

Quantum Physics · Physics 2019-03-11 Stephen Diadamo , Holger Boche

We study a simple graph-based classical secret sharing scheme: every player's share consists of a random key together with the encryption of the secret with the keys of his neighbours. A characterisation of the authorised and forbidden sets…

Quantum Physics · Physics 2011-09-23 Jérôme Javelle , Mehdi Mhalla , Simon Perdrix

The selection of random subspaces plays a role in quantum information theory analogous to the role of random strings in classical information theory. Recent applications have included protocols achieving the quantum channel capacity and…

Quantum Physics · Physics 2009-11-10 Patrick Hayden

In this paper we consider to use the quantum stabilizer codes as secret sharing schemes for classical secrets. We give necessary and sufficient conditions for qualified and forbidden sets in terms of quantum stabilizers. Then we give a…

Quantum Physics · Physics 2019-11-28 Ryutaroh Matsumoto

We address the question whether quantum memory is more powerful than classical memory. In particular, we consider a setting where information about a random n-bit string X is stored in r classical or quantum bits, for r<n, i.e., the stored…

Quantum Physics · Physics 2016-11-17 Robert Koenig , Ueli Maurer , Renato Renner

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

This article bridges the gap between two topics used in sharing an encryption key: (i) Key Consolidation, i.e., extracting two identical strings of bits from two information sources with similarities (common randomness). (ii) Quantum-safe…

Cryptography and Security · Computer Science 2024-01-31 Amir K. Khandani

For single-photon quantum key generation between two users, it is shown that the use of a shared secret key extended via a pseudo-random number generator may simultaneously enhance the security and efficiency of the cryptosystem. This…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

Correlations of the type discussed by EPR in their original 1935 paradox for continuous variables exist for the quadrature phase amplitudes of two spatially separated fields. These correlations were experimentally reported in 1992. We…

Quantum Physics · Physics 2009-10-31 M. D. Reid

In the classical setting, public-key encryption requires randomness in order to be secure against a forward search attack, whereby an adversary compares the encryption of a guess of the secret message with that of the actual secret message.…

Quantum Physics · Physics 2009-05-05 Georgios M. Nikolopoulos , Lawrence M. Ioannou

Image security for information has become increasingly critical as internet become more prevalent due to hacking and unauthorized access. To ensure the security of confidential image data, image encryption using visual cryptography plays a…

Cryptography and Security · Computer Science 2025-09-17 Dipak K. Rabari , Yogesh K. Meghrajani , Laxmi S. Desai

Quantum networks rely on both quantum and classical channels for coordinated operation. Current architectures employ entanglement distribution and key exchange over quantum channels but often assume that classical communication is…

Quantum Physics · Physics 2026-03-16 Xin Jin , Nitish Kumar Chandra , Mohadeseh Azari , Kaushik P. Seshadreesan , Junyu Liu

Quantum key distribution (QKD) allows Alice and Bob to agree on a shared secret key, while communicating over a public (untrusted) quantum channel. Compared to classical key exchange, it has two main advantages: (i) The key is…

Quantum Physics · Physics 2024-01-03 Giulio Malavolta , Michael Walter

We study the communication capabilities of a quantum channel under the most general channel model known as the one-shot model. Unlike classical channels that can only be used to transmit classical information (bits), a quantum channel can…

Information Theory · Computer Science 2020-10-02 Farzin Salek , Anurag Anshu , Min-Hsiu Hsieh , Rahul Jain , Javier R. Fonollosa

We explore the conversion of classical secret-sharing schemes to quantum ones, and how this can be used to give efficient QSS schemes for general adversary structures. Our first result is that quantum secret-sharing is possible for any…

Quantum Physics · Physics 2007-05-23 Adam D. Smith

This paper presents two unconventional links between quantum and classical physics. The first link appears in the study of quantum cryptography. In the presence of a spy, the quantum correlations shared by Alice and Bob are imperfect. One…

Quantum Physics · Physics 2007-05-23 Valerio Scarani

Catch 22 of cryptography - "Before two parties can communicate in secret, they must first communicate in secret". The weakness of classical cryptographic communication systems is that secret communication can only take place after a key is…

Cryptography and Security · Computer Science 2010-06-29 Catalin Anghel

In this paper we propose a new model for arbitrarily varying classical-quantum channels. In this model a jammer has side information. We consider two scenarios. In the first scenario the jammer knows the channel input, while in the second…

Information Theory · Computer Science 2018-02-01 Holger Boche , Minglai Cai , Ning Cai
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