Group theory on quantum Boltzmann machine
نویسندگان
چکیده
Group theory is extremely successful in characterizing the symmetries quantum systems, which greatly simplifies and unifies our treatments of systems. Here we introduce concept symmetry for a Boltzmann machine develop group to describe symmetry. This implies not only that all target states related with transformations are equivalent, but also given state optimal solutions keep invariant equivalent. For machines built on qubits, propose systematic procedure construct group, numerical algorithm verify completeness construction.
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ژورنال
عنوان ژورنال: Physics Letters
سال: 2021
ISSN: ['1873-2429', '0375-9601']
DOI: https://doi.org/10.1016/j.physleta.2021.127298