Is error detection helpful on IBM 5Q chips ?

Abstract

This paper reports on experiments realized on several IBM 5Q chips which show evidence for the advantage of using error detection and fault-tolerant design of quantum circuits. We show an average improvement of the task of sampling from states that can be fault-tolerantly prepared in the $[[4,2,2]]$ code, when using a fault-tolerant technique well suited to the layout of the chip. By showing that fault-tolerant quantum computation is already within our reach, the author hopes to encourage this approach.

17 pages, 13 figures, 6 tables

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• Mitiq: A software package for error mitigation on noisy quantum computers
• Limits on correlations in networks for quantum and no-signaling resources
• Error detection on quantum computers improves accuracy of chemical calculations
• Active Readout Error Mitigation
• Readout Rebalancing for Near Term Quantum Computers
• Benchmarking near-term devices with quantum error correction
• Testing quantum fault tolerance on small systems
• Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
• Implementing fault-tolerant non-Clifford gates using the [[8,3,2]] color code
• Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory
• SymDPoly: symmetry-adapted moment relaxations for noncommutative polynomial optimization
• Analysing causal structures using Tsallis entropies
• Quantum error detection in qubit-resonator star architecture
• Exploring the Local Landscape in the Triangle Network
• Error detection without post-selection in adaptive quantum circuits