Quantum Information Biology: from information interpretation of quantum mechanics to applications in molecular biology and cognitive psychology

认知心理学的量子形式化

Quantum formalism for cognitive psychology

本文提出用高维希尔伯特空间元素建模决策认知状态，通过量子理论的 von Neumann-Lüders 投影公理描述信息获取动态，展现其与贝叶斯更新等效，并扩展经典推理解释认知行为的可能。

Nondistributivity of human logic and violation of response replicability effect in cognitive psychology

The aim of this paper is to promote quantum logic as one of the basic tools for analyzing human reasoning. We compare it with classical (Boolean) logic and highlight the role of violation of the distributive law for conjunction and disjunction. It is well known that nondistributivity is equivalent to incompatibility of logical variables -- the impossibility to assign jointly the two-valued truth values to these variables. A natural question arises as to whether quantum logical nondistributivity in human logic can be tested experimentally. We show that testing the response replicability effect …

Quantum model for psychological measurements: from the projection postulate to interference of mental observables represented as positive operator valued measures

Recently foundational issues of applicability of the formalism of quantum mechanics (QM) to cognitive psychology, decision making, and psychophysics attracted a lot of interest. In particular, in \cite{DKBB} the possibility to use of the projection postulate and representation of "mental observables" by Hermitian operators was discussed in very detail. The main conclusion of the recent discussions on the foundations of "quantum(-like) cognitive psychology" is that one has to be careful in determination of conditions of applicability of the projection postulate as a mathematical tool for descri…

Testing boundaries of applicability of quantum probabilistic formalism to modeling of cognition

Recently the mathematical formalism of quantum mechanics, especially methods of quantum probability theory, started to be widely used in a variety of applications outside of physics, e.g., cognition and psychology as well as economy and finances. To distinguish such models from genuine quantum physical models, they often called quantum-like (although often people simply speak about, e.g., "quantum cognition"). These novel applications generate a number of foundational questions. Nowadays we can speak about a new science - foundations of quantum-like modeling. At the first stage this science wa…