Quantum secret sharing with continuous-variable cluster states

Abstract

We extend the formalism of cluster state quantum secret sharing, as presented in Markham and Sanders [Phys. Rev. A 78, 042309 (2008)] and Keet et al. [Phy. Rev. A 82, 062315 (2010)], to the continuous-variable regime. We show that both classical and quantum information can be shared by distributing continuous-variable cluster states through either public or private channels. We find that the adversary structure is completely denied from the secret if the cluster state is infinitely squeezed, but some secret information would be leaked if a realistic finitely squeezed state is employed. We suggest benchmarks to evaluate the security in the finitely squeezed cases. For the sharing of classical secrets, we borrow techniques from the continuous-variable quantum key distribution to compute the secret sharing rate. For the sharing of quantum states, we estimate the amount of entanglement distilled for teleportation from each cluster state.

v3: Modified abstract and introduction

References in corpus (13)

• Gaussian Quantum Information
• Universal Quantum Computation with Continuous-Variable Cluster States
• Resource-efficient linear optical quantum computation
• Unconditional optimality of Gaussian attacks against continuous-variable QKD
• One-Way Quantum Computing in the Optical Frequency Comb
• Experimental generation of four-mode continuous-variable cluster states
• Building Gaussian Cluster States by Linear Optics
• Experimental Quantum Secret Sharing and Third-Man Quantum Cryptography
• Quantum secret sharing with qudit graph states
• Ultracompact Generation of Continuous-Variable Cluster States
• Arbitrarily Large Continuous-Variable Cluster States from a Single Quantum Nondemolition Gate
• The Optical Frequency Comb as a One-Way Quantum Computer
• Weak Values and Continuous-Variable Entanglement Concentration

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• Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states
• Continuous-variable quantum computing in the quantum optical frequency comb
• Quantum machine learning over infinite dimensions
• Quantum secret sharing using weak coherent states
• Quantum simulation of quantum field theory using continuous variables
• A verifiable framework of entanglement-free quantum secret sharing with information-theoretical security
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• Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics
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• Multi-user QKD using quotient graph states derived from continuous-variable dual-rail cluster states
• Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Sharing classical secrets with continuous-variable entanglement: Composable security and network coding advantage