Siam Physics Congress 2021

Partial Wick Rotation in Quantum Random Walk

Not scheduled

15m

Faculty of Science, Prince of Songkla University

Oral Quantum Technology

Speaker

Takla Nateeboon

Description

Quantum decoherence occurs when a quantum system undergoes the dynamics that loses its quantum properties over time, and turns a quantum system to its classical counterpart. Wick's rotation transforms a real-valued time to an imaginary time. When apply to Shrödinger Equation, the equation becomes Diffusion Equation. Instead of fully turns time into imaginary, we investigate the decoherence of a quantum random walk under partial wick rotation, $t\to zt$ and $z\in \mathbb{C}$. We found that as the imaginary part of $z$ grow, partial wick rotation increasingly turns Quantum Random Walk into Classical Random Walk. This indicates that errors in measurement that affect the phase of a quantum state can result in decoherence which destroys quantum properties.

Presentation materials

SPC_2021 Partial Wick Rotation in Quantum Random Walk.pdf