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March 20, 20240 citationsOpen Access

Experimental fault-tolerant code switching

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IPIvan PogorelovUniversität InnsbruckFBFriederike ButtForschungszentrum JülichLPLukas PostlerUniversität Innsbruck

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Abstract

Quantum error correction is a crucial tool for mitigating hardware errors in quantum computers by encoding logical information into multiple physical qubits. However, no single error-correcting code allows for an intrinsically fault-tolerant implementation of all the gates needed for universal quantum computing 1-3. One way to tackle this problem is to switch between two suitable error-correcting codes, while preserving the encoded logical information, which in combination give access to a fault-tolerant universal gate set 4-6. In this work, we present the first experimental implementation of fault-tolerant code switching between two codes. One is the seven-qubit color code 7, which features fault-tolerant CNOT and H quantum gates, while the other one, the 10-qubit code 8, allows for a fault-tolerant T-gate implementation. Together they form a complementary universal gate set. Building on essential code switching building blocks, we construct logical circuits and prepare 12 different logical states which are not accessible natively in a fault-tolerant way within a single code. Finally, we use code switching to entangle two logical qubits employing the full universal gate set in a single logical quantum circuit. Our results experimentally open up a new route towards deterministic control over logical qubits with low auxiliary qubit overhead, not relying on the probabilistic preparation of resource states.

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Pogorelov et al. (2024) studied this question.

synapsesocial.com/papers/68e733cdb6db6435876ada7ehttps://doi.org/10.48550/arxiv.2403.13732
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