GIJANE® Double-bracket flows (DBF) are non-unitary matrix-valued differential equations whose stable equilibria arise as unitary rotations of the input matrix and can encode solutions to financial optimization problems, linear programming, QR decomposition, and sorting among others.

Our solution is an outcropping of our dynamic programming for path(s)-in-hypercube. DBFs enables efficient eigenstate preparation, matrix optimization, and simulation of quantum dynamics. It is a type of isospectral flow, meaning it evolves a matrix while preserving its eigenvalues. This helps prepare low-energy eigenstates, crucial for simulating quantum many-body systems or n-body systems.

Embrace complexity and uncertainty. Be willing to challenge the status quo and adapt to a future that is difficult to predict. You will waste precious time looking for an angle. Our solution is real! Our solution is for right now!

 Truth is priced in before you believe it.

Contact jrcunningham@gijane.com for more information.

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