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j_qic-2025-0002_tab_001
| Abbreviation & Parameter | Meaning |
| QFA | Quantum Finite Automaton |
| QFSM | Quantum Finite State Machines |
| DFA | Deterministic Finite Automaton |
| QFSMD | Quantum Finite State Machine with Data Path |
| γ | The complex third root of unity for Chrestenson gate |
| CH | Chrestenson gate |
| CH2, CH3 | New counterpart of Chrestenson gate |
| (1 2) | CH2: Power of Chrestenson gate CH |
| (0 2) | CH22: Power of new counterpart of Chrestenson gate CH2 |
| (0 1) | CH32: Power of new counterpart of Chrestenson gate CH3 |
| CHC1, CHC2 | Extended Chrestenson gate unitary matrices |
| Plus1 | Plus1 ternary rotation matrix |
| Plus2 | Plus2 ternary rotation matrix |
| GHQFA | Generalized Hybrid Quantum Finite Automata |
| FSMD | Finite State Machine with Data Path |
| GHQFSMD | Generalized Hybrid Quantum Finite Automata with Datapath |