Multiqubit noise deconvolution and characterization

We present a noise deconvolution technique for obtaining noiseless expectation values of noisy observables at the output of multiqubit quantum channels. For any number of qubits or in the presence of correlations, our protocol applies to any mathematically invertible noise model, even when its inver...

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Bibliographic Details
Published in:Physical review. A 2023-02, Vol.107 (2), Article 022419
Main Authors: Roncallo, Simone, Maccone, Lorenzo, Macchiavello, Chiara
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Multiqubit correlated noise
Multiqubit quantum channel
Noise characterization
Noise deconvolution
Noise mitigation
Pauli channel
Pauli transfer matrix
Quantum channels
Quantum communication
Quantum computing
Quantum error correction
Quantum information
Quantum tomography
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Summary:We present a noise deconvolution technique for obtaining noiseless expectation values of noisy observables at the output of multiqubit quantum channels. For any number of qubits or in the presence of correlations, our protocol applies to any mathematically invertible noise model, even when its inverse map is not physically implementable, i.e. when it is neither completely-positive nor trace-preserving. For a generic observable affected by Pauli noise it provides a quadratic speedup, always producing a rescaling of its Pauli basis components. We show that it is still possible to achieve the deconvolution while experimentally estimating the noise parameters, whenever these are unknown (bypassing resource-heavy techniques such as quantum process tomography). Here, we provide a simulation, with examples for both Pauli and non-Pauli channels.
ISSN:2469-9926
2469-9934
DOI:10.1103/PhysRevA.107.022419