Measurement-free code-switching for low overhead quantum computation using permutation invariant codes

• URL: http://arxiv.org/abs/2411.13142v2
• Date: Mon, 09 Dec 2024 11:42:46 GMT
• Title: Measurement-free code-switching for low overhead quantum computation using permutation invariant codes
• Authors: Yingkai Ouyang, Yumang Jing, Gavin K. Brennen,
• Abstract summary: We present a measurement-free code-switching protocol for universal quantum computation. The novel non-Clifford gates enabled by this code-switching protocol enable implementation of a universal gate set more efficient than the Clifford$+T$ gate set.
• Score: 6.281229317487581
• License:
• Abstract: Transversal gates on quantum error correction codes have been a promising approach for fault-tolerant quantum computing, but are limited by the Eastin-Knill no-go theorem. Existing solutions like gate teleportation and magic state distillation are resource-intensive. We present a measurement-free code-switching protocol for universal quantum computation, switching between a stabiliser code for transversal Cliffords and a permutation-invariant code for transversal non-Cliffords that are logical $Z$ rotations for any rational multiple of $\pi$. The novel non-Clifford gates enabled by this code-switching protocol enable implementation of a universal gate set more efficient than the Clifford$+T$ gate set. To achieve this, we present a protocol for performing controlled-NOTs between the codes using near-term quantum control operations that employ a catalytic bosonic mode.

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