The paper proposes the MAPS framework with n projectional intersecting spatial axes for visualizing qudit state-spaces and introduces novel d-valued phase axial-based gates.
A Conceptual Technology-Dependent Framework of Ternary Quantum Gates
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abstract
This paper introduces a conceptual framework of technology-dependent ternary quantum gates that could be implemented and fabricated into future superconducting and photonic quantum systems for operating 3-valued quantum bits (qutrits). The "technology-dependent" means that such ternary quantum gates are on-purpose designed analogy to the contemporary binary quantum gates. Conceptually, the final built technology-dependent one-, two-, and three-qutrit gates are Chrestenson, Z3, 01, 02, 12, +1, +2 (including their corresponding inverse and controlled gates), a non-phase relative SWAP gate, and a cost-effective Toffoli gate, which is a generic ternary Galois Field (GF3) multiplication and addition circuit.
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits
The paper proposes the MAPS framework with n projectional intersecting spatial axes for visualizing qudit state-spaces and introduces novel d-valued phase axial-based gates.