P. Kurzynski (Adam Mickiewicz University): Detection of Quantum Chaos with Quantum Hamming Distance
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Paweł Kurzynski (Adam Mickiewicz University,
Paweł Kurzynski (Adam Mickiewicz University, Poznań, Poland).
Detection of Quantum Chaos with Quantum Hamming Distance.
The unitarity of quantum evolutions implies that the overlap between two initial states does not change in time. This property is commonly believed to explain the lack of state sensitivity in quantum theory, a feature that is prevailing in classical chaotic systems. However, a distance between two points in classical phase space is a completely different mathematical concept than an overlap distance between two points in Hilbert space. There is a possibility that state sensitivity in quantum theory can be uncovered with a help of some other metric. Here we show that the recently introduced Weighted Bures Length/Quantum Hamming Distance (Girolami and Anza [Phys. Rev. Lett. 126 (2021) 170502]) achieves this task.
Quantum Information and Quantum Computing Seminars CTP PAS
2024-05-15
Detection of Quantum Chaos with Quantum Hamming Distance.
The unitarity of quantum evolutions implies that the overlap between two initial states does not change in time. This property is commonly believed to explain the lack of state sensitivity in quantum theory, a feature that is prevailing in classical chaotic systems. However, a distance between two points in classical phase space is a completely different mathematical concept than an overlap distance between two points in Hilbert space. There is a possibility that state sensitivity in quantum theory can be uncovered with a help of some other metric. Here we show that the recently introduced Weighted Bures Length/Quantum Hamming Distance (Girolami and Anza [Phys. Rev. Lett. 126 (2021) 170502]) achieves this task.
Quantum Information and Quantum Computing Seminars CTP PAS
2024-05-15
2 ماه پیش
در تاریخ 1403/03/07 منتشر شده
است.
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