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Fault-tolerant computing with single-qudit encoding in a molecular spin
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DOI：10.1039/d4mh00454j.png)
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Abstract
En 中文
We show that molecular spins represent ideal materials to realize a fault-tolerant quantum computer, in which all quantum operations include protection against leading (dephasing) errors. This is achieved by pursuing a qudit approach, in which logical error-corrected qubits are encoded in a single multi-level molecule (a qudit) and not in a large collection of two-level systems, as in standard codes. By preventing such an explosion of resources, this emerging way of thinking about quantum error correction makes its actual implementation using molecular spins much closer. We show how to perform all quantum computing operations (logical gates, corrections and measurements) without propagating errors. We achieve a quasi-exponential error correction with only linear qudit size growth, i.e. a higher efficiency than the standard approach based on stabilizer codes and concatenation. We show how to perform fault-tolerant quantum computing by using a simple d-level molecular spin qudit. We demonstrate a nearly exponential error reduction with linear growth in the number of single-qudit levels and loose coherence requirements.
Keywords:
QUANTUM ERROR-CORRECTION
COHERENCE
QUBITS