Design of Tunable Quantum Thermal Diodes and Dissipative Quantum Gates Based on Positive Overflow Algebraic Anchors
Year: 2026
Type: preprint
Abstract: Based on the discrete algebraic congruence laws of the positive overflow spectrum, this paper proposes a "look-up table control" parameter design method for non-Hermitian quantum thermodynamic engineering. By mapping pure algebraic anchors to physical dissipation space, this paper reveals the "miracle of algebraic dimensionality reduction" within the Q(√5) domain: the dissipative retention rates and coupling conditions of specific anchors (such as Γ = φ³ and √5) can not only be analytically simplified perfectly, but also naturally lock the degeneracy conditions of non-Hermitian Exceptional Points (EPs) mathematically. Based on this, three parameter formulations for dissipative quantum gates (Modes A/B/C) are designed, and a theoretical model of a quantum thermal diode based on the positive overflow dual-channel intersection is constructed. Using the Lindblad master equation, an idealized rectification ratio (approximately 4.25) is derived. Furthermore, an engineering scheme for a zero-overshoot thermal transistor is proposed utilizing topological short-circuiting (4 + 4/φ³ = 8/φ). Combining dual physical platforms—superconducting quantum circuits and graphene near-field radiation (Rytov theory)—this paper provides a complete engineering implementation guide encompassing process tolerances, material selection, and FPGA look-up table microsecond-level closed-loop feedback, offering a paradigm-shifting solution for high-performance quantum thermal management chips.
Author: Jiang, Yong
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225805566