Break-even point of the phase-flip error correcting code

In this theoretical study, we explore the use of quantum code-based memories to enhance the lifetime of qubits and exceed the break-even point, which is critical for the implementation of fault-tolerant quantum computing. Specifically, we investigate the quantum phase-flip repetition code as a quantum memory and theoretically demonstrate that it can preserve arbitrary quantum information longer than the lifetime of a single idle qubit in a dephasing-time-limited system, e.g. in semiconductor qubits. Our circuit-based analytical calculations show the efficiency of the phase-flip code as a quantum memory in the presence of relaxation, dephasing, and faulty quantum gates. Moreover, we identify the optimal repetition number of quantum error correction cycles required to reach the break-even point by considering the gate error probabilities of current platforms for quantum computing. Our results provide guidelines for developing quantum memories in semiconductor quantum devices.

Automated summary

In this theoretical study, we investigate the use of quantum code-based memories to enhance the lifetime of qubits and demonstrate the effectiveness of the quantum phase-flip repetition code as a quantum memory. By considering the gate error probabilities of current quantum computing platforms, we determine the optimal repetition number of quantum error correction cycles required to reach the break-even point and provide guidelines for developing quantum memories in semiconductor quantum devices.