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Title: 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. 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 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 × N square lattice results in a similar reduction. We also discuss a detailed implementation of our scheme with superconducting qubits and cavities.

Authors:
 [1]; ORCiD logo [2];  [3];  [4]
  1. Univ. of Maryland and National Inst. of Standards and Technology (NIST), College Park, MD (United States). Joint Quantum Inst. (JQI)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Dartmouth College, Hanover, NH (United States). Dept. of Physics and Astronomy
  4. 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
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
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
OSTI Identifier:
1463480
Report Number(s):
LA-UR-17-25159
Journal ID: ISSN 2056-6387
Grant/Contract Number:  
AC52-06NA25396; PHY-1607611
Resource Type:
Accepted Manuscript
Journal Name:
npj Quantum Information
Additional Journal Information:
Journal Volume: 4; Journal Issue: 1; Journal ID: ISSN 2056-6387
Publisher:
Nature Partner Journals
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Mathematics; Quantum Computing

Citation Formats

Zhu, Guanyu, Subasi, Yigit, Whitfield, James D., and Hafezi, Mohammad. Hardware-efficient fermionic simulation with a cavity–QED system. United States: N. p., 2018. Web. doi:10.1038/s41534-018-0065-3.
Zhu, Guanyu, Subasi, Yigit, Whitfield, James D., & Hafezi, Mohammad. Hardware-efficient fermionic simulation with a cavity–QED system. United States. doi:10.1038/s41534-018-0065-3.
Zhu, Guanyu, Subasi, Yigit, Whitfield, James D., and Hafezi, Mohammad. Tue . "Hardware-efficient fermionic simulation with a cavity–QED system". United States. doi:10.1038/s41534-018-0065-3. https://www.osti.gov/servlets/purl/1463480.
@article{osti_1463480,
title = {Hardware-efficient fermionic simulation with a cavity–QED system},
author = {Zhu, Guanyu and Subasi, Yigit and Whitfield, James D. and Hafezi, Mohammad},
abstractNote = {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.},
doi = {10.1038/s41534-018-0065-3},
journal = {npj Quantum Information},
number = 1,
volume = 4,
place = {United States},
year = {2018},
month = {2}
}

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