Minimal Orthonormal Bases For Pure Quantum State Estimation

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Leonardo Zambrano¹, Luciano Pereira², and Aldo Delgado³

¹ICFO – Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain
²Instituto de Física Fundamental IFF-CSIC, Calle Serrano 113b, Madrid 28006, Spain
³Instituto Milenio de Investigación en Óptica y Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile

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Abstract

We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite-dimensional Hilbert space. This is optimal as two bases are insufficient to construct an informationally complete positive operator-valued measurement (IC-POVM) for pure states. We demonstrate our method using a binary tree structure, providing an algorithmic path for implementation. The performance of the method is evaluated through numerical simulations, showcasing its effectiveness for quantum state estimation.

► BibTeX data

@article{Zambrano2024minimalorthonormal, doi = {10.22331/q-2024-02-08-1244}, url = {https://doi.org/10.22331/q-2024-02-08-1244}, title = {Minimal orthonormal bases for pure quantum state estimation}, author = {Zambrano, Leonardo and Pereira, Luciano and Delgado, Aldo}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {8}, pages = {1244}, month = feb, year = {2024}<br /> }

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This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

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Source: https://quantum-journal.org/papers/q-2024-02-08-1244/

Time Stamp: February 8, 2024

Time Stamp: Mar 21, 2022

Minimal orthonormal bases for pure quantum state estimation

Republished By Plato

Abstract

► BibTeX data

► References

Cited by

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