arXiv:2502.00037v4 Announce Type: replace-cross Abstract: We introduce Superstate Quantum Mechanics (SQM), a theory that considers states in Hilbert space subject to multiple quadratic constraints, with ``energy'' also expressed as a quadratic function of these states. Traditional quantum mechanics corresponds to a single quadratic constraint of wavefunction normalization with energy expressed as a quadratic form involving the Hamiltonian. When SQM represents states as unitary operators, the stationary problem becomes a quantum inverse problem with multiple applications in physics, machine lea
The announcement of Superstate Quantum Mechanics (SQM) reflects ongoing theoretical advancements in quantum mechanics, continually seeking more generalized frameworks for understanding reality.
This development could provide new theoretical underpinnings for quantum computing and AI, potentially leading to more advanced algorithms and applications in the long term.
The introduction of SQM offers a more generalized quantum framework that could expand the scope of quantum mechanics, particularly in its applications to quantum inverse problems and machine learning.
- · Quantum computing researchers
- · AI algorithm developers
- · Physics theorists
- · Traditional quantum computing approaches (if SQM proves vastly superior)
Advancements in theoretical physics that could inform new computational paradigms.
Potential for new classes of quantum algorithms that leverage the expanded framework of SQM.
Long-term impact on the development of highly complex AI systems capable of quantum-level processing.
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Read at arXiv cs.LG