TY - JOUR
ID - 308
TI - Quantum Measuring Systems: Considerations from the Holographic Principle
JO - Journal of Holography Applications in Physics
JA - JHAP
LA - en
SN - 2783-4778
AU - Konishi, Eiji
AD - Graduate School of Human and Environmental Studies, Kyoto University
Y1 - 2023
PY - 2023
VL - 3
IS - 1
SP - 31
EP - 38
KW - Quantum Measurement
KW - von Neumann Entropy
KW - Holographic Principle
KW - Wick Rotation
DO - 10.22128/jhap.2023.652.1039
N2 - In quantum mechanics without application of any superselection rule to the set of the observables, a closed quantum system temporally evolves unitarily, and this Lorentzian regime is characterized by von Neumann entropy of exactly zero. In the holographic theory in the classicalized ground state, we argue that the unitary real-time evolution of a non-relativistic free particle with complex-valued quantum probability amplitude in this Lorentzian regime can be temporally analytically continued to an imaginary-time classical stochastic process with real-valued conditional probability density in the Euclidean regime, where the von Neumann entropy of the classicalized hologram and the information of a particle trajectory acquired by the classicalized hologram are positive valued. This argument could shed light on the Euclidean regime of the holographic Universe.
UR - https://jhap.du.ac.ir/article_308.html
L1 - https://jhap.du.ac.ir/article_308_1ab04706d47f86b909059b11862bad3b.pdf
ER -