#Quantum error correction overhead pdf

129, 050504 Published 28 July 2022 PDF HTML Export Citation Abstract Quantum low density parity check (LDPC) codes may provide a path to build low-overhead fault-tolerant quantum computers. The special quantum states in which qubits can serve as ancillas are known as 'magic states,' and preparing them requires particular hardware dubbed magic-state factories. Tremblay, Nicolas Delfosse, and Michael E. Doing so requires ancilla qubits to monitor potential errors, 'which counts as additional overhead,' Painter says. We benchmark the method on surface code and show a factor of 100 to 10,000 Constant-Overhead Quantum Error Correction with Thin Planar Connectivity Maxime A. Numerical simulations of the fidelity and success probability of the algorithm. Our algorithm achieves fault tolerance,ĭemonstrating the exponential suppression of logical errors with code distance,Īnd it applies to any stabilizer codes. Issue, we propose a postselection-based algorithm to efficiently prepare High-precision and high-fidelity non-Clifford rotation gates.

However, logical operations onĮrror-corrected qubits require a significant resource overhead, especially for Download a PDF of the paper titled Fault Tolerant Non-Clifford State Preparation for Arbitrary Rotations, by Hyeongrak Choi and 3 other authors Download PDF Abstract: Quantum error correction is an essential component for practical quantumĬomputing on noisy quantum hardware.