Hardware-efficient fermionic simulation with a cavity-QED system

Abstract

In digital quantum simulation of fermionic models with qubits, non-local maps for encoding are often encountered. Such maps require linear or logarithmic overhead in circuit depth which could render the simulation useless, for a given decoherence time. Here we show how one can use a cavity-QED system to perform digital quantum simulation of fermionic models. In particular, we show that highly nonlocal Jordan-Wigner or Bravyi-Kitaev transformations can be efficiently implemented through a hardware approach. The key idea is using ancilla cavity modes, which are dispersively coupled to a qubit string, to collectively manipulate and measure qubit states. Our scheme reduces the circuit depth in each Trotter step of the Jordan-Wigner encoding by a factor of $N^2$, comparing to the scheme for a device with only local connectivity, where $N$ is the number of orbitals for a generic two-body Hamiltonian. Additional analysis for the Fermi-Hubbard model on an $N\times N$ square lattice results in a similar reduction. We also discuss a detailed implementation of our scheme with superconducting qubits and cavities.

10 pages + Appendices, 5 figures, 1 table

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Cited by in corpus (11)

• Simulating quantum many-body dynamics on a current digital quantum computer
• Application of fermionic marginal constraints to hybrid quantum algorithms
• Bravyi-Kitaev Superfast simulation of fermions on a quantum computer
• Cavity-assisted mesoscopic transport of fermions: Coherent and dissipative dynamics
• Quantum codes for quantum simulation of Fermions on a square lattice of qubits
• Majorana-based fermionic quantum computation
• Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
• Quantum Origami: Transversal Gates for Quantum Computation and Measurement of Topological Order
• Instantaneous braids and Dehn twists in topologically ordered states
• Shortcuts to adiabaticity in superconducting circuits for fast multi-partite state generation
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach