Hardware-efficient fermionic simulation with a cavity–QED system

Zhu, Guanyu; Subasi, Yigit; Whitfield, James D.; Hafezi, Mohammad

doi:10.1038/s41534-018-0065-3

Title: Hardware-efficient fermionic simulation with a cavity–QED system

Journal Article · Tue Feb 27 00:00:00 EST 2018 · npj Quantum Information

DOI:https://doi.org/10.1038/s41534-018-0065-3· OSTI ID:1463480

Zhu, Guanyu ^[1];

^[2]; Whitfield, James D. ^[3]; Hafezi, Mohammad ^[4]

Univ. of Maryland and National Inst. of Standards and Technology (NIST), College Park, MD (United States). Joint Quantum Inst. (JQI)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Dartmouth College, Hanover, NH (United States). Dept. of Physics and Astronomy
Univ. of Maryland and National Inst. of Standards and Technology (NIST), College Park, MD (United States). Joint Quantum Inst. (JQI), Inst. for Research in Electronics and Applied Physics (IREAP) and Dept. of Electrical and Computer Engineering

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. In this, 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 N², 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 × N square lattice results in a similar reduction. We also discuss a detailed implementation of our scheme with superconducting qubits and cavities.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; US Army Research Office (ARO); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); Sloan Foundation

Grant/Contract Number:: AC52-06NA25396; PHY-1607611

OSTI ID:: 1463480

Report Number(s):: LA-UR-17-25159

Journal Information:: npj Quantum Information, Vol. 4, Issue 1; ISSN 2056-6387

Publisher:: Nature Partner JournalsCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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