Scalable noise estimation with random unitary operators

By Joseph Emerson, Robert Alicki, Karol Zyczkowski. 2005

574 citations recorded by the source corpus.

We describe a scalable stochastic method for the experimental measurement of generalized fidelities characterizing the accuracy of the implementation of a coherent quantum transformation. The method is based on the motion reversal of random unitary operators. In the simplest case our method enables direct estimation of the average gate fidelity. The more general fidelities are characterized by a universal exponential rate of fidelity loss. In all cases the measurable fidelity decrease is directly related to the strength of the noise affecting the implementation, quantified by the trace of the superoperator describing the non-unitary dynamics. While the scalability of our stochastic protocol makes it most relevant in large Hilbert spaces (when quantum process tomography is infeasible), our method should be immediately useful for evaluating the degree of control that is achievable in any prototype quantum processing device. By varying over different experimental arrangements and error-correction strategies, additional information about the noise can be determined.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/c3273543ddc49ffb5830e54b05d7d29fcf402d77

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Predicting many properties of a quantum system from very few measurements (2020, background): “Applications range from quantum error correction [56], to measurement-based quantum computation [11, 61] and randomized benchmarking [23, 44, 53].”
The randomized measurement toolbox (2022, methodology): “The quintessential method for estimating average error rates in few-qubit quantum systems is called randomized benchmarking (RB) [90, 91].”
Quantum error correction below the surface code threshold (2024, unknown): “Black outline: distance-7 We remove leakage from each data qubit (gold) via a neighboring qubit below it, using additional leakage removal qubits at the boundary (green). b , Cumulative distributions of error probabilities measured on the 105-qubit processor.”
Suppressing quantum errors by scaling a surface code logical qubit (2022, unknown): “Single qubit gates are characterized using parallel randomized benchmarking[31], while CZ gates are characterized with parallel cross-entropy benchmarking (XEB)[32].”