Adaptive measurement strategy for noisy quantum amplitude estimation with variational quantum circuits

• URL: http://arxiv.org/abs/2405.15174v1
• Date: Fri, 24 May 2024 03:15:56 GMT
• Title: Adaptive measurement strategy for noisy quantum amplitude estimation with variational quantum circuits
• Authors: Kohei Oshio, Yohichi Suzuki, Kaito Wada, Keigo Hisanaga, Shumpei Uno, Naoki Yamamoto,
• Abstract summary: This paper studies the amplitude estimation in the presence of depolarizing noise with unknown intensity. We numerically show that the proposed method can nearly attain the quantum Cram'er-Rao bound (QCRB)
• Score: 0.3148661669593152
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum computation, amplitude estimation is a fundamental subroutine that is utilized in various quantum algorithms. A general important task of such estimation problems is to characterize the estimation lower bound, which is referred to as quantum Cram\'er-Rao bound (QCRB), and to construct an optimal estimator that achieves QCRB. This paper studies the amplitude estimation in the presence of depolarizing noise with unknown intensity. The main difficulty in this problem is that the optimal measurement depends on both the unknown quantum state and the amplitude we aim to estimate. To deal with these issues, we utilize the variational quantum circuits to approximate the (unknown) optimal measurement basis combined with the 2-step adaptive estimation strategy which was proposed in the quantum estimation theory.We numerically show that the proposed method can nearly attain the QCRB.

Related papers

• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Quantum-enhanced mean value estimation via adaptive measurement [0.39102514525861415]
  Mean value estimation of observables is an essential subroutine in quantum computing algorithms. The quantum estimation theory identifies the ultimate precision of such an estimator, which is referred to as the quantum Cram'er-Rao (QCR) lower bound or equivalently the inverse of the quantum Fisher information. We propose a quantum-enhanced mean value estimation method in a depolarizing noisy environment that saturates the QCR bound in the limit of a large number of qubits.
  arXiv  Detail & Related papers  (2022-10-27T17:13:07Z)
• Improved maximum-likelihood quantum amplitude estimation [0.0]
  Quantum estimation is a key subroutine in a number of powerful quantum algorithms, including quantum-enhanced Monte Carlo simulation and quantum machine learning. In this article, we deepen the analysis of Maximum-likelihood quantum amplitude estimation (MLQAE) to put the algorithm in a more prescriptive form, including scenarios where quantum circuit depth is limited. We then propose and numerically validate a modification to the algorithm to overcome this problem, bringing the algorithm even closer to being useful as a practical subroutine on near- and mid-term quantum hardware.
  arXiv  Detail & Related papers  (2022-09-07T17:30:37Z)
• Reducing the cost of energy estimation in the variational quantum eigensolver algorithm with robust amplitude estimation [50.591267188664666]
  Quantum chemistry and materials is one of the most promising applications of quantum computing. Much work is still to be done in matching industry-relevant problems in these areas with quantum algorithms that can solve them.
  arXiv  Detail & Related papers  (2022-03-14T16:51:36Z)
• Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms [76.15799379604898]
  Quantum phase estimation suffers from spectral leakage when the reciprocal of the record length is not an integer multiple of the unknown phase. We propose a dual-frequency estimator, which approaches the Cramer-Rao bound, when multiple samples are available.
  arXiv  Detail & Related papers  (2022-01-23T17:20:34Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)
• 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)
• Efficient qubit phase estimation using adaptive measurements [0.0]
  Estimating the quantum phase of a physical system is a central problem in quantum parameter estimation theory. Current methods to estimate quantum phases fail to reach the quantum Cram'er-Rao bound. We propose a new adaptive scheme based on covariant measurements to circumvent this problem.
  arXiv  Detail & Related papers  (2020-12-21T02:43:47Z)
• Amplitude estimation via maximum likelihood on noisy quantum computer [3.5462326830737805]
  We give an experimental demonstration on a superconducting IBM Quantum device. We show that the proposed maximum likelihood estimator achieves quantum speedup in the number of queries.
  arXiv  Detail & Related papers  (2020-06-29T17:44:04Z)
• Faster Amplitude Estimation [0.0]
  We introduce an efficient algorithm for the quantum amplitude estimation task which works in noisy intermediate-scale quantum(NISQ) devices. The quantum amplitude estimation is an important problem which has various applications in fields such as quantum chemistry, machine learning, and finance.
  arXiv  Detail & Related papers  (2020-03-05T03:38:00Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.