Scalable Measurement Error Mitigation via Iterative Bayesian Unfolding
- URL: http://arxiv.org/abs/2210.12284v1
- Date: Fri, 21 Oct 2022 22:42:12 GMT
- Title: Scalable Measurement Error Mitigation via Iterative Bayesian Unfolding
- Authors: Siddarth Srinivasan, Bibek Pokharel, Gregory Quiroz, Byron Boots
- Abstract summary: We present a scalable implementation of iterative Bayesian unfolding, a standard mitigation technique used in high-energy physics experiments.
We demonstrate our method by mitigating QC data from experimental preparation of Greenberger-Horne-Zeilinger (GHZ) states up to 127 qubits and implementation of the Bernstein-Vazirani algorithm on up to 26 qubits.
- Score: 30.113578832669695
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Measurement error mitigation (MEM) techniques are postprocessing strategies
to counteract systematic read-out errors on quantum computers (QC). Currently
used MEM strategies face a tradeoff: methods that scale well with the number of
qubits return negative probabilities, while those that guarantee a valid
probability distribution are not scalable. Here, we present a scheme that
addresses both of these issues. In particular, we present a scalable
implementation of iterative Bayesian unfolding, a standard mitigation technique
used in high-energy physics experiments. We demonstrate our method by
mitigating QC data from experimental preparation of Greenberger-Horne-Zeilinger
(GHZ) states up to 127 qubits and implementation of the Bernstein-Vazirani
algorithm on up to 26 qubits.
Related papers
- Bayesian Quantum Amplitude Estimation [49.1574468325115]
We introduce BAE, a noise-aware Bayesian algorithm for quantum amplitude estimation.
We show that BAE achieves Heisenberg-limited estimation and benchmark it against other approaches.
arXiv Detail & Related papers (2024-12-05T18:09:41Z) - Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms [1.4767596539913115]
A major challenge in performing quantum error correction (QEC) is implementing reliable measurements and conditional feed-forward operations.
We propose implementations of small measurement-free QEC schemes, which are fault-tolerant to circuit-level noise.
We highlight how this alternative approach paves the way towards implementing resource-efficient measurement-free QEC on neutral-atom arrays.
arXiv Detail & Related papers (2024-04-17T18:01:57Z) - Robust design under uncertainty in quantum error mitigation [0.8258451067861933]
Classical post-processing of quantum outcomes is a popular approach for error mitigation.
We propose general and unbiased methods for quantifying the uncertainty and error of error-mitigated observables by sampling error mitigation outcomes.
arXiv Detail & Related papers (2023-07-11T14:48:03Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Algorithmic cooling for resolving state preparation and measurement
errors in quantum computing [0.0]
We propose a novel type of algorithmic cooling protocol called measurement-based algorithmic cooling (MBAC)
MBAC assumes the ability to perform (potentially imperfect) projective measurements on individual qubits.
We demonstrate that MBAC can significantly reduce state preparation error under realistic assumptions.
arXiv Detail & Related papers (2022-03-15T17:41:58Z) - The Accuracy vs. Sampling Overhead Trade-off in Quantum Error Mitigation
Using Monte Carlo-Based Channel Inversion [84.66087478797475]
Quantum error mitigation (QEM) is a class of promising techniques for reducing the computational error of variational quantum algorithms.
We consider a practical channel inversion strategy based on Monte Carlo sampling, which introduces additional computational error.
We show that when the computational error is small compared to the dynamic range of the error-free results, it scales with the square root of the number of gates.
arXiv Detail & Related papers (2022-01-20T00:05:01Z) - Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and
Cycle Benchmarking [50.8020641352841]
We study coherent errors on a quantum hardware platform using a transverse field Ising model Hamiltonian as a sample user application.
We identify inter-day and intra-day qubit calibration drift and the impacts of quantum circuit placement on groups of qubits in different physical locations on the processor.
This paper also discusses how these measurements can provide a better understanding of these types of errors and how they may improve efforts to validate the accuracy of quantum computations.
arXiv Detail & Related papers (2022-01-08T23:12:55Z) - Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state.
In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
arXiv Detail & Related papers (2021-12-27T21:15:35Z) - Conditionally rigorous mitigation of multiqubit measurement errors [0.0]
measurement errors are significantly larger than gate errors on some platforms.
We develop a measurement error mitigation technique, conditionally rigorous TMEM, that is not sensitive to state-preparation errors.
arXiv Detail & Related papers (2021-09-09T17:49:13Z) - Performance of teleportation-based error correction circuits for bosonic
codes with noisy measurements [58.720142291102135]
We analyze the error-correction capabilities of rotation-symmetric codes using a teleportation-based error-correction circuit.
We find that with the currently achievable measurement efficiencies in microwave optics, bosonic rotation codes undergo a substantial decrease in their break-even potential.
arXiv Detail & Related papers (2021-08-02T16:12:13Z) - Measurement Error Mitigation in Quantum Computers Through Classical
Bit-Flip Correction [1.6872254218310017]
We develop a classical bit-flip correction method to mitigate measurement errors on quantum computers.
This method can be applied to any operator, any number of qubits, and any realistic bit-flip probability.
arXiv Detail & Related papers (2020-07-07T17:52:12Z) - Scalable quantum processor noise characterization [57.57666052437813]
We present a scalable way to construct approximate MFMs for many-qubit devices based on cumulant expansion.
Our method can also be used to characterize various types of correlation error.
arXiv Detail & Related papers (2020-06-02T17:39:42Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.