Robust Quantum State Tomography Method for Quantum Sensing

Reliable and efficient reconstruction of pure quantum states under the processing of noisy measurement data is a vital tool in fundamental and applied quantum information sciences owing to communication, sensing, and computing. Specifically, the purity of such reconstructed quantum systems is crucia...

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Bibliographic Details
Published in:Sensors (Basel, Switzerland) Switzerland), 2022-03, Vol.22 (7), p.2669
Main Authors: Farooq, Ahmad, Khalid, Uman, Ur Rehman, Junaid, Shin, Hyundong
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Communication
Decomposition
depolarizing noise
Eigenvalues
Expected values
Heisenberg limit
Hilbert space
Noise
Probability
Quantum computing
Quantum phenomena
quantum sensing
quantum state tomography
Reconstruction
Tomography
White noise
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Summary:Reliable and efficient reconstruction of pure quantum states under the processing of noisy measurement data is a vital tool in fundamental and applied quantum information sciences owing to communication, sensing, and computing. Specifically, the purity of such reconstructed quantum systems is crucial in surpassing the classical shot-noise limit and achieving the Heisenberg limit, regarding the achievable precision in quantum sensing. However, the noisy reconstruction of such resourceful sensing probes limits the quantum advantage in precise quantum sensing. For this, we formulate a pure quantum state reconstruction method through eigenvalue decomposition. We show that the proposed method is robust against the depolarizing noise; it remains unaffected under high strength white noise and achieves quantum state reconstruction accuracy similar to the noiseless case.
ISSN:1424-8220
1424-8220
DOI:10.3390/s22072669