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A distributed quantum storage code maps a quantum message to N storage nodes, of arbitrary specified sizes, such that the stored message is robust to an arbitrary specified set of erasure patterns. The sizes of the storage nodes, and…

Information Theory · Computer Science 2025-10-14 Hua Sun , Syed A. Jafar

Quantum key distribution algorithms are considered secure because they leverage quantum phenomena to provide security. As such, eavesdroppers can be detected by analyzing the error rate in the shared key obtained by the parties performing…

Quantum Physics · Physics 2024-12-12 Christopher Dunne

Secret sharing is the art of securely sharing information between more than two people in such a way that its reconstruction requires the collaboration of a certain number of parties. Entanglement-based secret sharing schemes which utilise…

Quantum secret sharing is a cryptographic scheme that enables a secure storage and reconstruction of quantum information. While the theory of secret sharing is mature in its development, relatively few studies have explored the performance…

Quantum Physics · Physics 2025-11-04 Jay Graves , Mike Nelson , Eric Chitambar

We consider the task of sharing a secret quantum state in a quantum network in a verifiable way. We propose a protocol that achieves this task, while reducing the number of required qubits, as compared to the existing protocols. To achieve…

Quantum Physics · Physics 2020-03-24 Victoria Lipinska , Gláucia Murta , Jérémy Ribeiro , Stephanie Wehner

Quantum Layout Synthesis (QLS) maps a logical quantum circuit to a physical quantum platform. Optimal QLS minimizes circuit size and depth, which is essential to reduce the noise on current quantum platforms. Optimal QLS is an NP-hard…

Quantum Physics · Physics 2025-07-18 Kostiantyn V. Milkevych , Jaco van de Pol , Irfansha Shaik

In this paper, we present an (n, n) threshold quantum secret sharing scheme of secure direct communication using Greenberger-Horne-Zeilinger state. The present scheme is efficient in that all the Greenberger-Horne-Zeilinger states used in…

Quantum Physics · Physics 2008-01-02 Jian Wang , Quan Zhang , Chao-jing Tang

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

Cryptography promises four information security objectives, namely, confidentiality, integrity, authenticity, and non-repudiation, to support trillions of transactions annually in the digital economy. Efficient digital signatures, ensuring…

Quantum Physics · Physics 2023-05-11 Hua-Lei Yin , Yao Fu , Chen-Long Li , Chen-Xun Weng , Bing-Hong Li , Jie Gu , Yu-Shuo Lu , Shan Huang , Zeng-Bing Chen

Using spatial modes for quantum key distribution (QKD) has become highly topical due to their infinite dimensionality, promising high information capacity per photon. However, spatial distortions reduce the feasible secret key rates and…

We propose a quantum secret sharing scheme between $m$-party and $n$-party using three conjugate bases, i.e. six states. A sequence of single photons, each of which is prepared in one of the six states, is used directly to encode classical…

Quantum Physics · Physics 2015-06-26 Ting Gao , Feng-Li Yan , You-Cheng Li

Based on a quantum secure direct communication (QSDC) protocol [Phys. Rev. A69(04)052319], we propose a $(n,n)$-threshold scheme of multiparty quantum secret sharing of classical messages (QSSCM) using only single photons. We take advantage…

Quantum Physics · Physics 2011-02-19 Zhan-jun Zhang , Yong Li , Zhong-xiao Man

We determine the optimum topology of quasi-one dimensional nonlinear optical structures using generalized quantum graph models. Quantum graphs are relational graphs endowed with a metric and a multiparticle Hamiltonian acting on the edges,…

Quantum Physics · Physics 2015-06-19 Rick Lytel , Shoresh Shafei , Mark G. Kuzyk

Based on $d$-dimensional quantum full homomorphic encryption, an efficient and secure quantum network coding protocol is proposed in this paper. First, a quantum full homomorphic encryption protocol is constructed utilizing $d$-dimensional…

Quantum Physics · Physics 2023-05-26 Ning Wang , Fei Gao , Song Lin

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

Visual cryptography encrypts the secret image into $n$ shares (transparency) so that only stacking a qualified number of shares can recover the secret image by the human visual system while no information can be revealed without a large…

Combinatorics · Mathematics 2020-02-24 Hong-Bin Chen , Hsiang-Chun Hsu , Justie Su-Tzu Juan

Semi-quantum secret sharing (SQSS) is an important branch of semi-quantum cryptography, and differs from quantum secret sharing (QSS) in that not all parties are required to possess quantum capabilities. All previous SQSS protocols have…

Quantum Physics · Physics 2022-05-18 Chong-Qiang Ye , Tian-Yu Ye

A novel scheme is proposed for realizing quantum entanglement, quantum information transfer and a set of universal quantum gates with superconducting-quantum-interference-device (SQUID) qubits in cavity QED. In the scheme, the two logical…

Quantum Physics · Physics 2007-05-23 Chui-Ping Yang , Shih-I Chu , Siyuan Han

Secret sharing is a multi-party cryptographic primitive that can be applied to a network of partially distrustful parties for encrypting data that is both sensitive (it must remain secure) and important (it must not be lost or destroyed).…

Quantum Physics · Physics 2022-02-28 Nathan Walk , Jens Eisert

The hypergraph product (HGP) construction of quantum error-correcting codes (QECC) offers a general and explicit method for building a QECC from two classical codes, thereby paving the way for the discovery of good quantum low-density…

Quantum Physics · Physics 2025-12-29 Yue Wu , Meng-Yuan Li , Chengshu Li , Hui Zhai
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