TITLE:
Bipolar Quantum Logic Gates and Quantum Cellular Combinatorics—A Logical Extension to Quantum Entanglement
AUTHORS:
Wen-Ran Zhang
KEYWORDS:
Bipolar Causal Sets; Logically Definable Causality; Basis State Quantum Entanglement; Generic and Composite Entanglement; Bipolar Equilibrium; Bipolar Quantum Logic Gates; Quantum Cellular Combinatorics
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.3 No.2,
June
14,
2013
ABSTRACT: 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.