Break-even point of the quantum repetition code
arXiv:2303.17810 · doi:10.1088/1367-2630/acfba5
Abstract
Enhancing the lifetime of qubits with quantum code-based memories on different quantum hardware is a significant step towards fault-tolerant quantum computing. We theoretically show that the break-even point, i.e., preserving arbitrary quantum information longer than the lifetime of a single idle qubit, can be beaten even with the quantum phase-flip repetition code in a dephasing-time-limited system. Applying circuit-based analytical calculation, we determine the efficiency of the phase-flip code as a quantum memory in the presence of relaxation, dephasing, and faulty quantum gates. Considering current platforms for quantum computing, we identify the gate error probabilities and optimal repetition number of quantum error correction cycles to reach the break-even point.
arXiv comment9 pages, 4 figures
References in corpus (27)
- The Quantum Internet
- Surface codes: Towards practical large-scale quantum computation
- Quantum Error Correction for Quantum Memories
- Suppressing quantum errors by scaling a surface code logical qubit
- State preservation by repetitive error detection in a superconducting quantum circuit
- Quantum error correction in a solid-state hybrid spin register
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Experimental Quantum Error Correction
- Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
- Universal control of a six-qubit quantum processor in silicon
- Exponential suppression of bit or phase flip errors with repetitive error correction
- A four-qubit germanium quantum processor
- Quantum computing with nearest neighbor interactions and error rates over 1%
- Two-qubit silicon quantum processor with operation fidelity exceeding 99%
- Implementing the Quantum von Neumann Architecture with Superconducting Circuits
- Low-distance Surface Codes under Realistic Quantum Noise
- Detecting bit-flip errors in a logical qubit using stabilizer measurements
- Beating the break-even point with a discrete-variable-encoded logical qubit
- Quantum error correction with silicon spin qubits
- Efficient error models for fault-tolerant architectures and the Pauli twirling approximation
- Density-matrix simulation of small surface codes under current and projected experimental noise
- Surface code with decoherence: An analysis of three superconducting architectures
- A repetition code of 15 qubits
- A logical qubit in a linear array of semiconductor quantum dots
- Protocol for a resonantly-driven three-qubit Toffoli gate with silicon spin qubits
- Simple quantum error detection and correction for superconducting qubits
- Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory