Enhancing quantum models of stochastic processes with error mitigation

• URL: http://arxiv.org/abs/2105.06448v2
• Date: Mon, 18 Oct 2021 02:20:30 GMT
• Title: Enhancing quantum models of stochastic processes with error mitigation
• Authors: Matthew Ho, Ryuji Takagi, Mile Gu
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Error mitigation has been one of the recently sought after methods to reduce the effects of noise when computation is performed on a noisy near-term quantum computer. Interest in simulating stochastic processes with quantum models gained popularity after being proven to require less memory than their classical counterparts. With previous work on quantum models focusing primarily on further compressing memory, this work branches out into the experimental scene; we aim to 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.

Related papers

• Flexible Error Mitigation of Quantum Processes with Data Augmentation Empowered Neural Model [9.857921247636451]
  We propose a data augmentation empowered neural model for error mitigation (DAEM) Our model does not require any prior knowledge about the specific noise type and measurement settings. It can estimate noise-free statistics solely from the noisy measurement results of the target quantum process.
  arXiv  Detail & Related papers  (2023-11-03T05:52:14Z)
• Machine Learning for Practical Quantum Error Mitigation [0.0]
  We show that machine learning for quantum error mitigation can drastically reduce overheads, maintain or even surpass the accuracy of conventional methods. Our results highlight the potential of classical machine learning for practical quantum computation.
  arXiv  Detail & Related papers  (2023-09-29T16:17:12Z)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Exponentially tighter bounds on limitations of quantum error mitigation [2.936007114555107]
  Quantum error mitigation has been proposed as a means to combat unwanted and unavoidable errors in near-term quantum computing. In this work, we identify strong limitations to the degree to which quantum noise can be effectively undone' for larger system sizes.
  arXiv  Detail & Related papers  (2022-10-20T18:12:42Z)
• Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
  We present an approach where the quantum computation is supplemented by a classical result. Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative. In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
  arXiv  Detail & Related papers  (2022-09-12T15:47:44Z)
• Scalable error mitigation for noisy quantum circuits produces competitive expectation values [1.51714450051254]
  We show the utility of zero-noise extrapolation for relevant quantum circuits using up to 26 qubits, circuit depths of 60, and 1080 CNOT gates. We show that the efficacy of the error mitigation is greatly enhanced by additional error suppression techniques and native gate decomposition.
  arXiv  Detail & Related papers  (2021-08-20T14:32:16Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)
• 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)
• Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions [62.997667081978825]
  We present a study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level.
  arXiv  Detail & Related papers  (2020-12-21T14:20:40Z)
• Algorithmic Error Mitigation Scheme for Current Quantum Processors [0.0]
  We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method. We demonstrate through numerical simulations and experiments on IBM Quantum hardware that the proposed scheme significantly increases the accuracy of cost functions evaluations.
  arXiv  Detail & Related papers  (2020-08-25T09:48:20Z)
• 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.