Asymmetric multi-party quantum state sharing of an arbitrary \(m\)-qubit state. (English) Zbl 1209.81054
Summary: We present a scheme for asymmetric multi-party quantum state sharing of an arbitrary \(m\)-qubit state with \(n\) agents. The sender Alice first shares \(m - 1\) Bell states and one \(n + 1\)-particle Greenberger-Horne-Zeilinger state with \(n\) agents, where the agent Bob, who is designated to recover the original \(m\)-qubit state, just keeps \(m\) particles and other agents (all controllers) \(n - 1\) particles, that is, each controller only holds one particle in hand. Subsequently, Alice performs \(m\) Bell-basis measurements on her \(2m\) particles and each controller only need take a single-particle measurement on his particle with the basis \(X\). Finally, Bob can recover the original \(m\)-qubit state with the corresponding local unitary operations according to Alice and all controllers’ measurement results. Its intrinsic efficiency for qubits approaches 100%, and the total efficiency really approaches the maximal value, which is higher than those of the known symmetric schemes.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
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