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首页> 外文期刊>Journal of Quantum Information Science >Bipolar Quantum Logic Gates and Quantum Cellular Combinatorics—A Logical Extension to Quantum Entanglement
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Bipolar Quantum Logic Gates and Quantum Cellular Combinatorics—A Logical Extension to Quantum Entanglement

机译：双极量子逻辑门和量子细胞组合—量子纠缠的逻辑扩展

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Based on bipolar dynamic logic (BDL) and bipolar quantum linear algebra (BQLA) this work introduces bipolar quantum logic gates and quantum cellular combinatorics with a logical interpretation to quantum entanglement. It is shown that: 1) BDL leads to logically definable causality and generic particle-antiparticle bipolar quantum entanglement; 2) BQLA makes composite atom-atom bipolar quantum entanglement reachable. Certain logical equivalence is identified between the new interpretation and established ones. A logical reversibility theorem is presented for ubiquitous quantum computing. Physical reversibility is briefly discussed. It is shown that a bipolar matrix can be either a modular generalization of a quantum logic gate matrix or a cellular connectivity matrix. Based on this observation, a scalable graph theory of quantum cellular combinatorics is proposed. It is contended that this work constitutes an equilibrium-based logical extension to Bohr’s particle-wave complementarity principle, Bohm’s wave function and Bell’s theorem. In the meantime, it is suggested that the result may also serve as a resolution, rather than a falsification, to the EPR paradox and, therefore, a equilibrium-based logical unification of local realism and quantum non-locality.
机译：基于双极动态逻辑（BDL）和双极量子线性代数（BQLA），这项工作引入了双极量子逻辑门和量子胞组合，并对量子纠缠进行了逻辑解释。结果表明：1）BDL导致逻辑上可定义的因果关系和一般的粒子-反粒子双极量子纠缠; 2）BQLA使复合原子-原子双极量子纠缠得以实现。在新的解释和已建立的解释之间确定了一定的逻辑等效性。提出了逻辑可逆定理，用于普遍存在的量子计算。简要讨论了物理可逆性。示出了双极矩阵可以是量子逻辑门矩阵或单元连接矩阵的模块化概括。在此基础上，提出了一种可扩展的量子细胞组合图理论。有人认为这项工作构成了对玻尔的粒子波互补原理，波姆波函数和贝尔定理的基于平衡的逻辑扩展。同时，建议该结果也可以作为对EPR悖论的解决而不是伪造，因此可以作为基于平衡的局部现实主义和量子非局部性的逻辑统一。

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