Experimental fault-tolerant code switching

Experimental fault-tolerant code switching

March 21, 2024 | Ivan Pogorelov, Friederike Butt, Lukas Postler, Christian D. Marciniak, Philipp Schindler, Markus Müller, and Thomas Monz
This paper presents the first experimental implementation of fault-tolerant code switching between two quantum error-correcting codes: the seven-qubit color code and the 10-qubit code. The seven-qubit color code supports fault-tolerant CNOT and H gates, while the 10-qubit code allows for a fault-tolerant T-gate implementation. Together, they form a complementary universal gate set. The researchers demonstrate the ability to switch between these codes while preserving encoded logical information, enabling the implementation of a fault-tolerant universal gate set. They prepare 12 different logical states that are not accessible natively in a single code and use code switching to entangle two logical qubits in a single logical quantum circuit. The results show that fault-tolerant code switching can significantly improve fidelities in certain situations compared to non-fault-tolerant counterparts. However, this advantage does not extend to protocols with large circuit depth or many mid-circuit measurements. The experiment was conducted on a 16-ion chain of calcium ions trapped in a linear Paul trap, with quantum states encoded in specific Zeeman sub-levels. The researchers performed logical quantum process tomography and quantum state tomography to characterize the performance of the code switching protocols. The results demonstrate the feasibility of fault-tolerant code switching for logical qubit control with low auxiliary qubit overhead. The work opens up new possibilities for deterministic control over logical qubits in quantum computing.This paper presents the first experimental implementation of fault-tolerant code switching between two quantum error-correcting codes: the seven-qubit color code and the 10-qubit code. The seven-qubit color code supports fault-tolerant CNOT and H gates, while the 10-qubit code allows for a fault-tolerant T-gate implementation. Together, they form a complementary universal gate set. The researchers demonstrate the ability to switch between these codes while preserving encoded logical information, enabling the implementation of a fault-tolerant universal gate set. They prepare 12 different logical states that are not accessible natively in a single code and use code switching to entangle two logical qubits in a single logical quantum circuit. The results show that fault-tolerant code switching can significantly improve fidelities in certain situations compared to non-fault-tolerant counterparts. However, this advantage does not extend to protocols with large circuit depth or many mid-circuit measurements. The experiment was conducted on a 16-ion chain of calcium ions trapped in a linear Paul trap, with quantum states encoded in specific Zeeman sub-levels. The researchers performed logical quantum process tomography and quantum state tomography to characterize the performance of the code switching protocols. The results demonstrate the feasibility of fault-tolerant code switching for logical qubit control with low auxiliary qubit overhead. The work opens up new possibilities for deterministic control over logical qubits in quantum computing.
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