Testing quantum fault tolerance on small systems

Abstract

We extensively test a recent protocol to demonstrate quantum fault tolerance on three systems: (1) a real-time simulation of five spin qubits coupled to an environment with two-level defects, (2) a real-time simulation of transmon quantum computers, and (3) the 16-qubit processor of the IBM Q Experience. In the simulations, the dynamics of the full system is obtained by numerically solving the time-dependent Schrödinger equation. We find that the fault-tolerant scheme provides a systematic way to improve the results when the errors are dominated by the inherent control and measurement errors present in transmon systems. However, the scheme fails to satisfy the criterion for fault tolerance when decoherence effects are dominant.

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• Demonstrating Bayesian Quantum Phase Estimation with Quantum Error Detection
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• Error detection on quantum computers improves accuracy of chemical calculations
• Readout Rebalancing for Near Term Quantum Computers
• Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
• Supercomputer simulations of transmon quantum computers
• Perturbative readout error mitigation for near term quantum computers
• Quantum error detection in qubit-resonator star architecture
• Demonstration of teleportation-based error correction in the IBM quantum computer
• Consequences of unitary evolution of coupled qubit-resonator systems for stabilizing circuits in surface codes
• Fidelity of the Kitaev honeycomb model under a quench
• Testing of flag-based fault-tolerance on IBM quantum devices