The Abdus Salam International Centre for Theoretical Physics, ICTP, Trieste, 34151, Italy.
Sci Rep. 2022 Aug 17;12(1):13971. doi: 10.1038/s41598-022-18360-z.
A comprehensive study of the properties of finite (0,1) binary systems from the mathematical viewpoint of quantum theory is presented. This is a quantum-inspired extension of the GenomeBits model to characterize observed genome sequences, where a complex wavefunction [Formula: see text] is considered as an analogous probability measure and it is related to an alternating (0,1) binary series having independent distributed terms. The real and imaginary spectrum of [Formula: see text] vs. the nucleotide base positions display characteristic features of sound waves. This approach represents a novel perspective for identifying and "observing" emergent properties of genome sequences in the form of wavefunctions via superposition states. The motivation is to develop a simple algorithm to perform wave calculations from binary sequences and to apply these wave functions to sonification.
从量子理论的数学角度出发，对有限（0,1）二进制系统的性质进行了全面研究。这是对 GenomeBits 模型的一种量子启发式扩展，用于描述观察到的基因组序列，其中复杂的波函数 [Formula: see text] 被视为类似的概率测度，并与具有独立分布项的交替（0,1）二进制序列相关联。[Formula: see text] 的实部和虚部与核苷酸碱基位置的关系显示出声波的特征。这种方法为通过叠加态以波函数的形式识别和“观察”基因组序列的涌现特性提供了新的视角。动机是开发一种简单的算法来从二进制序列执行波动计算，并将这些波函数应用于声音化。
