How to simulate a Hamiltonian-driven process?

[MichealChen]

Consider a set of zero states |+>. In Schrodinger's picture. I want to act a Hamiltonian to evolve the initial state. How can I use stabilizer formalism to simulate it with this package?

[hongyehu]

Hi Micheal, Sorry for the late reply. This cannot be efficiently simulated with the stabilizer formalism, as time-evolved states are not stabilizer states in general, even if the initial state and hamiltonian can both be efficiently formulated with stabilizers. A simple example is |+> under the evolution of H=Z, this will create a continuous rotation, and the "magic" of the state will oscillate. Bests, Hong-Ye

…

On Thu, Dec 12, 2024 at 3:26 AM MichealChen ***@***.***> wrote: Consider a set of zero states |+>. In Schrodinger's picture. I want to act a Hamiltonian to evolve the initial state. How can I use stabilizer formalism to simulate it with this package? — Reply to this email directly, view it on GitHub <#29>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AMBYRGKBFMZGDL72PTYGMCL2FFCDBAVCNFSM6AAAAABTPHC66GVHI2DSMVQWIX3LMV43ASLTON2WKOZSG4ZTKMJZHA4TGMA> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

-- -------------------------------------------- Hong-Ye Hu, Ph.D. Department of Physics, Harvard University