Industry 4.0 Quantum Strategic Organizational Design Configurations. The Case of Two Qubits: One Reports to One

Abstract

In this paper we investigate how the relationship with a subordinate who reports to him influences the alignment of an Industry 4.0 leader. We do this through the implementation of quantum circuits that represent decision networks. In fact, through the quantum simulation of strategic organizational design configurations (QSOD) through five hundred simulations of quantum circuits, we conclude that there is an influence of the subordinate on the leader that resembles that of a harmonic under-damped oscillator around the value of 50% probability of alignment for the leader. Likewise, we have observed a fractal behavior in this type of relationship, which seems to conjecture that there is an exchange of energy between the two agents that oscillates with greater or lesser amplitude depending on certain parameters of interdependence. Fractality in this QSOD context allows for a quantification of these complex dynamics and its pervasive effect offers robustness and resilience to the two-qubit interaction.

Industry 4.0 Quantum Strategic Organizational Design Configurations. The Case of 3 Qubits: One Reports to Two

“…When B and C are entangled, they work as one. As shown in Figure 5 a, when , the quantum circuit is identical to that of one qubit reporting to other qubit shown in [ 20 ], and behaves in a similar manner. R5 .…”

“…As in the previous case, we intend to investigate the behavior of the alignment probabilities of agents B and C , and . The results obtained in [ 20 ] indicate that the alignment probability of that allows for an alignment of the higher nodes is greater or equal than 90%.…”

“…This work is conceived as a succinct outreach of an important new application of the previous work on Quantum Strategic Organizational Design (QSOD) [ 19 , 20 ], and should be referenced as a background by the motivated reader. The QSOD permits real-time modeling of organizational alignment conditions of complex systems in Industry 4.0.…”

“…This qubit is allowed to have two fundamental states, one of alignment or asymptotic stability of the Key Performance Indicators (KPIs) defining its performance [ 2 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ], represented by the state and another of non–alignment, lack of such stability, represented by the state . In the previous work [ 20 ], we showed how the interaction between two agents, an industrial leader and a subordinate reporting to him, can be interpreted as a dissipative oscillatory system in underdamped mode.…”

“…R4When B and C are entangled, they work as one. As shown inFigure 5a, whenx 11 = x 21 = x 21 = y 21 = z 21 = z 22 all ∈]0, 0.1] ∪ [0.9, 1[, the quantum circuit is identical to that of one qubit reporting to other qubit shown in[20], and behaves in a similar manner.• R5. Agents B and C interchange energy.…”