Universal Parity Quantum Computing

• URL: http://arxiv.org/abs/2205.09505v2
• Date: Wed, 2 Nov 2022 10:21:40 GMT
• Title: Universal Parity Quantum Computing
• Authors: Michael Fellner, Anette Messinger, Kilian Ender, Wolfgang Lechner
• Abstract summary: We show that logical controlled phase gate and $R_z$ rotations can be implemented in parity encoding with single-qubit operations. We present a method to switch between different encoding variants via partial on-the-fly encoding and decoding.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a universal gate set for quantum computing with all-to-all connectivity and intrinsic robustness to bit-flip errors based on parity encoding. We show that logical controlled phase gate and $R_z$ rotations can be implemented in parity encoding with single-qubit operations. Together with logical $R_x$ rotations, implemented via nearest-neighbor controlled-NOT gates and an $R_x$ rotation, these form a universal gate set. As the controlled phase gate requires only single-qubit rotations, the proposed scheme has advantages for several cornerstone quantum algorithms, e.g., the quantum Fourier transform. We present a method to switch between different encoding variants via partial on-the-fly encoding and decoding.

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