Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session EE01: V: Statistical and Nonlinear Physics II
11:30 AM–1:18 PM,
Tuesday, March 5, 2024
Room: Virtual Room 01
Sponsoring
Unit:
GSNP
Chair: Raffaele Marino, Università degli studi di Firenze
Abstract: EE01.00007 : Towards quantization Conway Game of LifeKrzysztof Pomorski1,3, Dariusz Kotula2,3 1: Institute of PhysicsLodz University of Technology, Lodz, Poland2: Faculty of Computer Science and TelecommunicationCracow University of Technology, Cracow, Poland3: Quantum Hardware Systems, Lodz, Poland*
12:42 PM–12:54 PM
Presenter:
Krzysztof D Pomorski
(Lodz University of Technology)
Authors:
Krzysztof D Pomorski
(Lodz University of Technology)
Dariusz Kotula
(Cracow University of Technology)
Classical stochastic Conway Game of Life is expressed by the dissipative Schrodinger equation and dissipative tight-binding model. This is conducted at the prize of usage of time dependent anomalous non-Hermitian Schroedinger Hamiltonians as with occurrence of complex value potential that do not preserve the normalization of wave-function and thus allows for mimicking creationism or annihilationism of cellular automaton. At the same time various aspects of thermodynamics were observed in cellular automata system that can be later reformulated by quantum mechanical pictures. The usage of Shannon entropy and mass equivalence to energy points definition of cellular automata temperature. Contrary to intuitive statement the system dynamical equilibrium is always reflected by negative Conway temperatures. Conway-Schrrodinger equation is formulated.
*We would like to thank to company Quantum Hardware Systems for support in project implementation.
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