Estimation Archives - IEEE Transactions on Quantum Engineering

A Low-Complexity Quantum Simulation Framework for Toeplitz-Structured Matrix and Its Application in Signal Processing

June 14, 2023Mostafizur Rahaman LaskarEnabling TechnologiesComputational modeling, Covariance matrices, Eigenvalues and eigenfunctions, Estimation, Quantum computing, Quantum state, Sparse matrices

Toeplitz matrix reconstruction algorithms (TMRAs) are one of the central subroutines in array processing for wireless communication applications. The classical TMRAs have shown excellent accuracy in the spectral estimation for both uncorrelated and coherence sources in the recent era. However, TMRAs incorporate the classical eigenvalue decomposition technique for estimating the eigenvalues of the Toeplitz-structured covariance […]

Grover on KATAN: Quantum Resource Estimation

November 2, 2022Mostafizar RahmanOpen Access, Quantum ComputingCiphers, Cryptography, Estimation, Logic gates, NIST, Quantum circuit, Scheduling algorithms

This article presents the cost analysis of mounting Grover’s key search attack on the family of KATAN block cipher. Several designs of the reversible quantum circuit of KATAN are proposed. Owing to the National Insitute of Standards and Technology’s (NIST) proposal for postquantum cryptography standardization, the circuits are designed focusing on minimizing the overall depth. […]

Practical Quantum K-Means Clustering: Performance Analysis and Applications in Energy Grid Classification

November 2, 2022Stephen DiAdamoOpen Access, Quantum ComputingBenchmark testing, Clustering algorithms, Computers, Estimation, Hardware, Measurement, Quantum computing

In this work, we aim to solve a practical use-case of unsupervised clustering that has applications in predictive maintenance in the energy operations sector using quantum computers. Using only cloud access to quantum computers, we complete thorough performance analysis of what some current quantum computing systems are capable of for practical applications involving nontrivial mid-to-high-dimensional […]

Machine-Learning-Based Parameter Estimation of Gaussian Quantum States

November 2, 2022Neel Kanth KunduOpen Access, Quantum Sensing & MetrologyBayes methods, Estimation, Machine learning, Metrology, Parameter estimation, Phase estimation, Quantum state

In this article, we propose a machine-learning framework for parameter estimation of single-mode Gaussian quantum states. Under a Bayesian framework, our approach estimates parameters of suitable prior distributions from measured data. For phase-space displacement and squeezing parameter estimation, this is achieved by introducing expectation–maximization (EM)-based algorithms, while for phase parameter estimation, an empirical Bayes method […]

Simultaneous Estimation of Parameters and the State of an Optical Parametric Oscillator System

November 2, 2022Qi YuEnabling Technologies, Open AccessEstimation, Filtering, Filtering theory, Kalman filters, Quantum computing, Quantum state, Quantum system

In this article, we consider the filtering problem of an optical parametric oscillator (OPO). The OPO pump power may fluctuate due to environmental disturbances, resulting in uncertainty in the system modeling. Thus, both the state and the unknown parameter may need to be estimated simultaneously. We formulate this problem using a state-space representation of the […]

Simultaneous Estimation of Parameters and the State of an Optical Parametric Oscillator System

June 23, 2022Qi Yu; Shota Yokoyama; Daoyi Dong; David McManus; Hidehiro YonezawaOpen Access, Quantum InformationEstimation, Filtering, Filtering theory, Kalman filters, Quantum computing, Quantum state, Quantum system

Machine-Learning-Based Parameter Estimation of Gaussian Quantum States

December 23, 2021Neel Kanth Kundu; Matthew R. McKay; Ranjan K. MallikOpen Access, Quantum InformationBayes methods, Estimation, Machine learning, Metrology, Parameter estimation, Phase estimation, Quantum state