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quant-ph2020
Generalization of group-theoretic coherent states for variational calculations
Tommaso Guaita, Lucas Hackl, Tao Shi +2
We introduce new families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitari…
quant-ph2020
Local optimization on pure Gaussian state manifolds
Bennet Windt, Alexander Jahn, Jens Eisert +1
We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these famili…
quant-ph2020
Geometry of variational methods: dynamics of closed quantum systems
Lucas Hackl, Tommaso Guaita, Tao Shi +3
We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the purpose of (A) real time evolution, (B) excitatio…