Quantum Secret Sharing and Error Correction Vs No-Cloning

Secret sharing is ubiquitous throughout cryptography. All possible access structures are classically feasible, and in the case of threshold access structures, the protocols are even very efficient. However, when moving to the quantum setting, the no-cloning theorem shows that many access structur...

A Three-Party W-State Quantum Secret Sharing Protocol with X-Gate Encoding and Forbidden-Outcome Detection

We develop a new three-party quantum secret-sharing QSS protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the...

Construction of a Class of Communication-Efficient Quantum Secret Sharing Schemes

Quantum secret sharing is a fundamental technique in quantum cryptography. However, in practical quantum networks, it still faces several bottlenecks, such as high quantum communication cost and low transmission efficiency. To reduce the communication cost, ramp quantum secret sharing schemes hav...

Quantum Ramp Secret Sharing from Haar Scrambling

Quantum information scrambling has emerged as a powerful tool for studying the dynamics of chaotic quantum many-body systems, assessing benchmarking protocols, and even investigating exotic black hole models. During quantum information scrambling, localized quantum information disperses across th...

Tight Analysis of a Grover-Based Quantum Secret Sharing Scheme

Secret-sharing schemes allow a dealer to split a secret into multiple "shares" and distribute them individually among many parties while mandating certain constraints on its reconstruction. Such protocols are usually executed over a secure communication channel since an eavesdropper, after...