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Demonstration of measurement-free universal logical quantum computation
Friederike Butt1,2, Ivan Pogorelov3, Robert Freund3
1Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, Jülich, Germany. f.butt@fz-juelich.de.
Nature Communications
|January 25, 2026
Summary
Researchers developed measurement-free quantum error correction (QEC) for quantum algorithms using trapped-ion processors. This approach enables robust logical operations and demonstrates Grover's algorithm without mid-circuit measurements, advancing fault-tolerant quantum computation.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Experimental Quantum Physics
Background:
- Quantum error correction (QEC) is crucial for demonstrating quantum algorithms.
- Current QEC methods often rely on mid-circuit measurements, which are error-prone and slow.
- Trapped-ion processors offer a platform for exploring advanced QEC techniques.
Purpose of the Study:
- To propose and experimentally demonstrate a measurement-free toolbox for fault-tolerant logical operations.
- To implement modular logical state teleportation between error-detecting codes.
- To realize a universal gate set for measurement-free quantum computation.
Main Methods:
- Utilized a trapped-ion quantum processor.
- Developed modular logical state teleportation without intermediate measurements.
- Implemented a fault-tolerant universal gate set based on state injection.
- Executed Grover's quantum search algorithm using encoded logical qubits.
Main Results:
- Successfully demonstrated measurement-free logical state teleportation between two four-qubit codes.
- Realized a universal gate set on an eight-qubit code with three logical qubits.
- Experimentally executed Grover's algorithm fault-tolerantly, identifying solution states.
- Showcased the feasibility of measurement-free quantum computation.
Conclusions:
- The developed toolbox enables fault-tolerant logical operations without mid-circuit measurements.
- This work provides a practical foundation for measurement-free quantum computation.
- Advances the field towards more robust and efficient quantum algorithm execution.
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