Secure multi-party quantum computation with few qubits

• URL: http://arxiv.org/abs/2004.10486v2
• Date: Mon, 3 Oct 2022 15:47:56 GMT
• Title: Secure multi-party quantum computation with few qubits
• Authors: Victoria Lipinska, J\'er\'emy Ribeiro, Stephanie Wehner
• Abstract summary: We consider the task of secure multi-party distributed quantum computation on a quantum network. We propose a protocol based on quantum error correction which reduces the number of necessary qubits. We showcase our protocol on a small example for a 7-node network.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the task of secure multi-party distributed quantum computation on a quantum network. We propose a protocol based on quantum error correction which reduces the number of necessary qubits. That is, each of the $n$ nodes in our protocol requires an operational workspace of $n^2+\Theta(s) n$ qubits, as opposed to previously shown $\Omega\big((n^3+n^2s^2)\log n\big)$ qubits, where $s$ is a security parameter. To achieve universal computation, we develop a distributed procedure for verifying magic states based on magic state distillation and statistical testing of randomly selected states. This allows us to apply distributed $T$ gate and which may be of independent interest. We showcase our protocol on a small example for a 7-node network.

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