Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating the Mott transition on a noisy digital quantum computer via
  Cartan-based fast-forwarding circuits   Dynamical mean-field theory (DMFT) maps the local Green's function of the
Hubbard model to that of the Anderson impurity model and thus gives an
approximate solution of the Hubbard model by solving the simpler quantum
impurity model. Quantum and hybrid quantum-classical algorithms have been
proposed to efficiently solve impurity models by preparing and evolving the
ground state under the impurity Hamiltonian on a quantum computer instead of
using intractable classical algorithms. We propose a highly optimized
fast-forwarding quantum circuit to significantly improve quantum algorithms for
the minimal DMFT problem preserving the Mott phase transition. Our Cartan
decomposition based algorithm uses a fixed depth quantum circuit to eliminate
time-discretization errors and evolve the initial state over arbitrary times.
Exploiting the structure of the fast-forwarding circuits, we sufficiently
reduce the gate cost to simulate the dynamics of, and extract frequencies from,
the Anderson impurity model on noisy quantum hardware and demonstrate the Mott
transition by mapping the phase-diagram of the corresponding impurity problem.
Especially near the Mott phase transition when the quasiparticle resonance
frequency converges to zero and evolving the system over long-time scales is
necessary, our method maintains accuracy where Trotter error would otherwise
dominate. This work presents the first computation of the Mott phase transition
using noisy digital quantum hardware, made viable by a highly optimized
computation in terms of gate depth, simulation error, and run-time on quantum
hardware. The combination of algebraic circuit decompositions and model
specific error mitigation techniques used may have applications extending
beyond our use case to solving correlated electronic phenomena on noisy quantum
computers.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio