Besides today's special group meeting by Matt Broome, we have Sergio
presenting in regular group meeting tomorrow.
Time: Friday October 22 at 11:30 AM
Place: Naito 030
Here's the abstract:
Preparing thermal states of quantum systems by dimension reduction
We present an algorithm that prepares thermal Gibbs states of one
dimensional quantum systems on a quantum computer without any memory
overhead, and in a time significantly shorter than other known
alternatives.
Specifically, the time complexity is dominated by the quantity
N^(|h|/T) where N is the size of the system, |h| is a
bound on the operator norm of the local terms of the Hamiltonian
(coupling energy), and T is the temperature. Given other results on the
complexity
of thermalization, this overall scaling is likely
optimal. For higher dimensions, our algorithm lowers the known
scaling of the time complexity with the dimension of the system by one.
--
Joel Yuen-Zhou
PhD candidate in Chemical Physics
Harvard University CCB,
12 Oxford St. Mailbox 107,
Cambridge, MA, USA.
Show replies by date