https://doi.org/10.1140/epjc/s10052-024-13554-3
Regular Article
Tripartite measurement uncertainty in Schwarzschild space-time
1
RCQI, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 84511, Bratislava, Slovakia
2
Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Torun, ul. Grudziadzka 5, 87-100, Torun, Poland
3
Qatar Centre for Quantum Computing, College of Science and Engineering, Hamad Bin Khalifa University, Doha, Qatar
4
Faculty of Physics, Semnan University, P.O. Box 35195-363, Semnan, Iran
5
Saeed’s Quantum Information Group, P.O. Box 19395-0560, Tehran, Iran
a
h.dolatkhah@gmail.com
b
haddadi@semnan.ac.ir
Received:
12
September
2024
Accepted:
28
October
2024
Published online:
18
November
2024
The effect of Hawking radiation on tripartite measurement uncertainty in a Schwarzschild black hole background is analyzed in this study. Two scenarios are examined. In the first, quantum memory particles approach a Schwarzschild black hole and are positioned near the event horizon, while the particle being measured remains in the asymptotically flat region. In the second scenario, the measured particle moves toward the black hole, and the quantum memories stay in the asymptotically flat region. This study considers two initial quantum states, namely GHZ and W states. Our findings reveal that in both cases, measurement uncertainty increases steadily with rising Hawking temperature. When comparing the GHZ and W states, the GHZ state initially exhibits lower measurement uncertainty at low Hawking temperatures than the W state, indicating greater resilience to Hawking radiation. Additionally, when the quantum memories remain in the asymptotically flat region while the measured particle falls toward the black hole, the uncertainties for GHZ and W states do not align at high temperatures. The GHZ state consistently demonstrates lower measurement uncertainty, showcasing its superior robustness against Hawking radiation.
© The Author(s) 2024
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