Quantum Journal Club

Muhammad Asaduzzaman, Quantum Simulation of the N -flavor Gross-Neveu Model

Name: Muhammad Asaduzzaman, Quantum Simulation of the N -flavor Gross-Neveu Model
Start: 2022-11-28T14:00:00-05:00
End: 2022-11-28T16:00:00-05:00
Location: No location set

Monday 28 Nov 2022, 14:00 → 16:00 US/Eastern

Description

We discuss the use of quantum simulation to study an N -flavor theory of interacting relativistic fermions in (1+1) dimensions on noisy intermediate-scale quantum (NISQ) era machines. The case of two flavors is particularly interesting as it can be mapped to the Hubbard model. We derive the appropriate qubit Hamiltonians and associated quantum circuits. We compare classical simulation and density matrix renormalization group (DMRG)/ Time Evolving Blocked Decimation (TEBD) calculations with the results of quantum simulation on various platforms for N = 2 and 4-flavors. We demonstrate that the four steps needed for calculations of real-time scattering can be implemented using current NISQ devices.

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Muhammad Asaduzzaman, Quantum Simulation of the N -flavor Gross-Neveu Model