When: Monday, October 31, from 2 to 3 PM
Where: Cabot Division Room at Mallinckrodt.
What: David is up for group meeting:
Density Functional theory (DFT) and its time-dependent extension (TDDFT)
have become widely used methods in computational electronic structure
theory. DFT and TDDFT are based on rigorous theorems, which reformulate
many-electron quantum mechanics using the simple one-electron density as
the basic variable of interest rather than the complicated many-electron
wavefunction. In this talk I'll discuss how the theorems of TDDFT can be
applied to a class of qubit Hamiltonians that are universal for quantum
computation. In a similar spirit to DFT and TDDFT for electronic
Hamiltonians, the theorems of TDDFT applied to universal Hamiltonians allow us
to think of single-qubit expectation values as the basic variables in
quantum computation and information theory, rather than the wavefunction.
From a practical standpoint this also opens the
possibility of
approximating observables of interest in quantum computations
directly in terms
of single-qubit quantities (i.e. as density functionals). Additionally,
we'll see that TDDFT provides an exact prescription for simulating
universal Hamiltonians with other universal Hamiltonians that have
different, and possibly easier-to-realize two-qubit interactions.
I'll also give a brief introduction to time-dependent density matrix
functional theory (TD-DMFT) as an alternative to TDDFT and it's possible
applications in quantum information theory.
--
Joel Yuen-Zhou
PhD candidate in Chemical Physics
Harvard University CCB,
12 Oxford St. Mailbox 107,
Cambridge, MA, USA.
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