Algoritm for factoring the state vector of a quantum system
https://doi.org/10.22405/2226-8383-2025-26-5-94-110
Abstract
The work is devoted to the consideration of multi-qubit and multi-qudit quantum systems
in pure states, their description in terms of partitioning into non-overlapping sets of entangled qubits (qudits) — sets of entanglement, the formula of logarithmic entanglement of multiqubit and multi-qudit quantum systems in pure and mixed states is presented. Using artificial intelligence methods, the classification of multi-qubit systems is made, taking into account the maximum instantaneous entanglement value and logarithmic entanglement, diagrams of the distribution of these characteristics depending on the factorization of the system state vector into sets of entanglement are constructed. A formula for the ensemble-averaged logarithmic entanglement for multi-qubit and multi-qudit quantum systems in pure states has been constructed.
About the Author
Anastasiya Valer’evna Boeva
Lomonosov Moscow State University
Russian Federation
Russian Federation
master’s student
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Review
For citations:
Boeva A.V. Algoritm for factoring the state vector of a quantum system. Chebyshevskii Sbornik. 2025;26(5):94-109. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-5-94-110
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