Quantum error mitigation in quantum annealing
- URL: http://arxiv.org/abs/2311.01306v1
- Date: Thu, 2 Nov 2023 15:19:07 GMT
- Title: Quantum error mitigation in quantum annealing
- Authors: Mohammad H. Amin, Andrew D. King, Jack Raymond, Richard Harris,
William Bernoudy, Andrew J. Berkley, Kelly Boothby, Anatoly Smirnov, Fabio
Altomare, Michael Babcock, Catia Baron, Jake Connor, Martin Dehn, Colin
Enderud, Emile Hoskinson, Shuiyuan Huang, Mark W. Johnson, Eric Ladizinsky,
Trevor Lanting, Allison J. R. MacDonald, Gaelen Marsden, Reza Molavi, Travis
Oh, Gabriel Poulin-Lamarre, Hugh Ramp, Chris Rich, Berta Trullas Clavera,
Nicholas Tsai, Mark Volkmann, Jed D. Whittaker, Jason Yao, Niclas Heinsdorf,
Nitin Kaushal, Alberto Nocera, and Marcel Franz
- Abstract summary: Quantum Error Mitigation (QEM) presents a promising near-term approach to reduce error when estimating expectation values in quantum computing.
We implement ZNE through zero-temperature extrapolation as well as energy-time rescaling.
We show that energy-time rescaling effectively mitigates control errors in the coherent regime where the effect of thermal noise is minimal.
- Score: 0.6099717150670692
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum Error Mitigation (QEM) presents a promising near-term approach to
reduce error when estimating expectation values in quantum computing. Here, we
introduce QEM techniques tailored for quantum annealing, using Zero-Noise
Extrapolation (ZNE). We implement ZNE through zero-temperature extrapolation as
well as energy-time rescaling. We conduct experimental investigations into the
quantum critical dynamics of a transverse-field Ising spin chain, demonstrating
the successful mitigation of thermal noise through both of these techniques.
Moreover, we show that energy-time rescaling effectively mitigates control
errors in the coherent regime where the effect of thermal noise is minimal. Our
ZNE results agree with exact calculations of the coherent evolution over a
range of annealing times that exceeds the coherent annealing range by almost an
order of magnitude.
Related papers
- Statistical Qubit Freezing Extending Physical Limit of Quantum Annealers [0.2399911126932527]
Adiabatic quantum annealers encounter scalability challenges due to exponentially fast diminishing energy gaps between ground and excited states with qubit-count increase.
We propose a novel algorithmic scheme called statistical qubit freezing (SQF) that selectively fixes the state of statistically deterministic qubit.
arXiv Detail & Related papers (2024-05-21T08:37:28Z) - Quantum computational advantage with constant-temperature Gibbs sampling [1.1930434318557157]
A quantum system coupled to a bath at some fixed, finite temperature converges to its Gibbs state.
This thermalization process defines a natural, physically-motivated model of quantum computation.
We consider sampling from the measurement outcome distribution of quantum Gibbs states at constant temperatures.
arXiv Detail & Related papers (2024-04-23T00:29:21Z) - Robust Extraction of Thermal Observables from State Sampling and
Real-Time Dynamics on Quantum Computers [49.1574468325115]
We introduce a technique that imposes constraints on the density of states, most notably its non-negativity, and show that this way, we can reliably extract Boltzmann weights from noisy time series.
Our work enables the implementation of the time-series algorithm on present-day quantum computers to study finite temperature properties of many-body quantum systems.
arXiv Detail & Related papers (2023-05-30T18:00:05Z) - 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) - Quantum annealing with twisted fields [0.0]
We propose a method for suppressing the effects of decoherence and non-adiabatic transition.
Our results can pave the way to a new approach for realizing practical quantum annealing.
arXiv Detail & Related papers (2021-11-30T11:00:44Z) - Thermal divergences of quantum measurement engine [6.2855988683171375]
The work output, quantum heat, and efficiency are derived, highlighting the important role of the thermal divergence recently reappearing in open quantum systems.
The spin-engine architecture offers a comprehensive platform for future investigations of extracting work from quantum measurement.
arXiv Detail & Related papers (2021-09-22T15:35:40Z) - Enhancing quantum models of stochastic processes with error mitigation [0.0]
We bridge the gap between theoretical quantum models and practical use with the inclusion of error mitigation methods.
It is observed that error mitigation is successful in improving the resultant expectation values.
While our results indicate that error mitigation work, we show that its methodology is ultimately constrained by hardware limitations in these quantum computers.
arXiv Detail & Related papers (2021-05-13T17:45:34Z) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z) - Sampling Overhead Analysis of Quantum Error Mitigation: Uncoded vs.
Coded Systems [69.33243249411113]
We show that Pauli errors incur the lowest sampling overhead among a large class of realistic quantum channels.
We conceive a scheme amalgamating QEM with quantum channel coding, and analyse its sampling overhead reduction compared to pure QEM.
arXiv Detail & Related papers (2020-12-15T15:51:27Z) - Assessment of weak-coupling approximations on a driven two-level system
under dissipation [58.720142291102135]
We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation.
We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
arXiv Detail & Related papers (2020-11-11T22:45:57Z) - Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling.
We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
arXiv Detail & Related papers (2020-05-05T20:11:53Z)
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.