Journal
NATURE
Volume 598, Issue 7880, Pages 281-+Publisher
NATURE PORTFOLIO
DOI: 10.1038/s41586-021-03928-y
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Funding
- ARO through the IARPA LogiQ programme
- NSF STAQ Program
- AFOSR MURIs on Dissipation Engineering in Open Quantum Systems and Quantum Interactive Protocols for Quantum Computation
- ARO MURI on Modular Quantum Circuits
- NSF [DMR-1747426]
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Quantum error correction encodes information into a larger quantum system to protect it, and fault-tolerant circuits are essential for controlling logical qubits and suppressing errors. Experimental demonstration of fault-tolerant circuits for a Bacon-Shor logical qubit with trapped ion qubits shows significant reductions in error rates in the presence of noise. This indicates the potential of fault-tolerant circuits to enable highly accurate logical primitives in current quantum systems, with the possibility of achieving a stabilized logical qubit through improved gate operations and measurements.
Quantum error correction protects fragile quantum information by encoding it into a larger quantum system(1,2). These extra degrees of freedom enable the detection and correction of errors, but also increase the control complexity of the encoded logical qubit. Fault-tolerant circuits contain the spread of errors while controlling the logical qubit, and are essential for realizing error suppression in practice(3-6). Although fault-tolerant design works in principle, it has not previously been demonstrated in an error-corrected physical system with native noise characteristics. Here we experimentally demonstrate fault-tolerant circuits for the preparation, measurement, rotation and stabilizer measurement of a Bacon-Shor logical qubit using 13 trapped ion qubits. When we compare these fault-tolerant protocols to non-fault-tolerant protocols, we see significant reductions in the error rates of the logical primitives in the presence of noise. The result of fault-tolerant design is an average state preparation and measurement error of 0.6 per cent and a Clifford gate error of 0.3 per cent after offline error correction. In addition, we prepare magic states with fidelities that exceed the distillation threshold(7), demonstrating all of the key single-qubit ingredients required for universal fault-tolerant control. These results demonstrate that fault-tolerant circuits enable highly accurate logical primitives in current quantum systems. With improved two-qubit gates and the use of intermediate measurements, a stabilized logical qubit can be achieved.
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