TheĪlgorithm we propose allows the correction of two errors per error correctionĬycle, provided that one of them is time-correlated. In this paper we study quantum error correctionįor a restricted class of time-correlated errors in a spin-boson model. Yet, time-correlated error are common for physical implementations of quantum systems an error corrected during the previous cycle may reoccur later due to physical processes specific for each. In particular, the no-qubits-interaction condition is satisfied in the collective decoherence models. Generally, this no-qubits-interaction condition is assumed except for the case where two-qubit gate operation is being performed. and we can use quantum error correction to fix up to t errors. We show that errors are not generated correlatedly provided that quantum bits do not directly interact with (or couple to) each other. Marinescu School of Electrical Engineering and Computer Science University of Central.
CORRELATED ERRORS QUANTUM ERROR CORRECTION CODE
Implementations of quantum systems an error corrected during the previousĬycle may reoccur later due to physical processes specific for each physical If the error probability of the correlated errors drops sufficiently rapidly with the. Quantum Error Correction of Time-Correlated Errors Feng Lu and Dan C. How can we correct continuous errors and decoherence Measurement Destroys Superpositions Let us apply the classical repetition code to a quantum state to try. Yet, time-correlated error are common for physical Observation: When the noise is very correlated there is a discrepancy between measuring errors in terms of individual qubits and measuring errors in terms.
Quantum Error Correction of Time-Correlated ErrorsĪbstract: The complexity of the error correction circuitry forces us to design quantumĮrror correction codes capable of correcting a single error per errorĬorrection cycle.
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