Amplitude damping noise, channeled through an ancilla-based encoding, reproduces the fermionic bath dynamics of impurity models with an order-of-magnitude qubit reduction.
Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics
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abstract
We propose a non-linear, hybrid quantum-classical scheme for simulating non-equilibrium dynamics of strongly correlated fermions described by the Hubbard model in a Bethe lattice in the thermodynamic limit. Our scheme implements non-equilibrium dynamical mean field theory (DMFT) and uses a digital quantum simulator to solve a quantum impurity problem whose parameters are iterated to self-consistency via a classically computed feedback loop where quantum gate errors can be partly accounted for. We analyse the performance of the scheme in an example case.
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Turning qubit noise into an advantage: Automatic state preparation and long-time dynamics for impurity models on quantum computers
Amplitude damping noise, channeled through an ancilla-based encoding, reproduces the fermionic bath dynamics of impurity models with an order-of-magnitude qubit reduction.