An Emulation of Quantum Error-Correction on an FPGA device

Practical fault-tolerant quantum computation faces enormous engineering challenges and emulation is a key support for quantum algorithm development in the meantime. Field Programmable Gate Array are promising hosts for these emulators but have seen almost no application to this problem so far. This paper presents emulation of an error-correct qubit via a 9-qubit Shor code on Xilinx FPGA. It shows how by exploiting sparsity linked to the errors, operational complexity can be reduced by more than 99% and high-fidelity operation enabled by 11-bit floating point computation.