Matrix decomposition Archives - IEEE Transactions on Quantum Engineering

A Proposed Quantum Framework for Low-Complexity Quantum Simulation and Spectrum Estimation of Hankel-Patterned Systems

November 1, 2023Mostafizur Rahaman LaskarEnabling TechnologiesComputer architecture, Logic gates, Matrix decomposition, Signal processing, Signal processing algorithms, Sparse matrices, Symmetric matrices

The structured matrix completion problem (SMCP) is ubiquitous in several signal processing applications. In this article, we consider a fixed pattern, namely, the Hankel-structure for the SMCP under quantum formalism. By exploiting its structure, a lower-gate-complexity quantum circuit realization of a Hankel system is demonstrated. Further, we propose a quantum simulation algorithm for the Hankel-structured […]

On the Experimental Feasibility of Quantum State Reconstruction via Machine Learning

August 24, 2021Sanjaya Lohani; Thomas A. Searles; Brian T. Kirby; Ryan T. GlasserOpen Access, Quantum InformationMachine learning, Matrix decomposition, Maximum likelihood estimation, Noise measurement, Quantum state, Qubit, Training

We determine the resource scaling of machine learning-based quantum state reconstruction methods, in terms of inference and training, for systems of up to four qubits when constrained to pure states. Further, we examine system performance in the low-count regime, likely to be encountered in the tomography of high-dimensional systems. Finally, we implement our quantum state […]

Preparing Dicke States on a Quantum Computer

December 1, 2020Chandra Sekhar Mukherjee; Subhamoy Maitra; Vineet Gaurav; Dibyendu RoyOpen Access, Quantum Computer Architecture, Quantum InformationComputer architecture, Logic gates, Matrix decomposition, Noise measurement, Qubit, Task analysis, Tutorials

Exact requirement of controlled NOT (CNOT) and single-qubit gates to implement a quantum algorithm in a given architecture is one of the central problems in this computational paradigm. In this article, we take a tutorial approach in explaining the preparation of Dicke states (|D k n 〉) using concise realizations of partially defined unitary transformations. We show how […]