Quantum computation of magnon spectra

Francis, Akhil; Freericks, J. K.; Kemper, A. F.

doi:10.1103/PhysRevB.101.014411

Title: Quantum computation of magnon spectra

Abstract

We demonstrate quantum computation of two-point correlation functions for a Heisenberg spin chain. Using the IBM Q 20-qubit quantum machines, we find that, for two sites, the correlation functions produce the exact results reliably. For four sites, results from the IBM Q 20-qubit Tokyo quantum computer are noisy due to read out errors and decoherence. Nevertheless, the correlation functions retain the correct spectral information. Furthermore, this is illustrated in the frequency domain by accurately extracting the magnon energies from peaks in the spectral function.

Authors:

Francis, Akhil ^[1]; Freericks, J. K. ^[2];

^[1]

North Carolina State Univ., Raleigh, NC (United States)
Georgetown Univ., Washington, DC (United States)

Publication Date:: 2020-01-09

Research Org.:: North Carolina State Univ., Raleigh, NC (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1582306

Grant/Contract Number:: SC0019469

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 101; Journal Issue: 1; Related Information: https://osf.io/9gx7u; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum Computing

Citation Formats


                    Francis, Akhil, Freericks, J. K., and Kemper, A. F. Quantum computation of magnon spectra.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevB.101.014411.

Copy to clipboard


                    Francis, Akhil, Freericks, J. K., & Kemper, A. F. Quantum computation of magnon spectra.  United States.  https://doi.org/10.1103/PhysRevB.101.014411

Copy to clipboard


                    Francis, Akhil, Freericks, J. K., and Kemper, A. F. Thu .  
"Quantum computation of magnon spectra".  United States.  https://doi.org/10.1103/PhysRevB.101.014411.  https://www.osti.gov/servlets/purl/1582306.

Copy to clipboard


                    
@article{osti_1582306,

  title        = {Quantum computation of magnon spectra},

  author       = {Francis, Akhil and Freericks, J. K. and Kemper, A. F.},

  abstractNote = {We demonstrate quantum computation of two-point correlation functions for a Heisenberg spin chain. Using the IBM Q 20-qubit quantum machines, we find that, for two sites, the correlation functions produce the exact results reliably. For four sites, results from the IBM Q 20-qubit Tokyo quantum computer are noisy due to read out errors and decoherence. Nevertheless, the correlation functions retain the correct spectral information. Furthermore, this is illustrated in the frequency domain by accurately extracting the magnon energies from peaks in the spectral function.},

  doi          = {10.1103/PhysRevB.101.014411},

  journal      = {Physical Review B},

  number       = 1,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {1}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevB.101.014411

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Frustrated spin order and stripe fluctuations in FeSe
journal, February 2019

Baum, A.; Ruiz, H. N.; Lazarević, N.
Communications Physics, Vol. 2, Issue 1
DOI: 10.1038/s42005-019-0107-y

Efficient Quantum Algorithm for Computing $n$ -time Correlation Functions
journal, July 2014

Pedernales, J. S.; Di Candia, R.; Egusquiza, I. L.
Physical Review Letters, Vol. 113, Issue 2
DOI: 10.1103/PhysRevLett.113.020505

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940

Holstein, T.; Primakoff, H.
Physical Review, Vol. 58, Issue 12
DOI: 10.1103/PhysRev.58.1098

Simulating quantum many-body dynamics on a current digital quantum computer
journal, November 2019

Smith, Adam; Kim, M. S.; Pollmann, Frank
npj Quantum Information, Vol. 5, Issue 1
DOI: 10.1038/s41534-019-0217-0

Theory of Superconductivity
journal, December 1957

Bardeen, J.; Cooper, L. N.; Schrieffer, J. R.
Physical Review, Vol. 108, Issue 5
DOI: 10.1103/PhysRev.108.1175

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983

Laughlin, R. B.
Physical Review Letters, Vol. 50, Issue 18
DOI: 10.1103/PhysRevLett.50.1395

Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
journal, January 2004

Vidal, G.; Dawson, C. M.
Physical Review A, Vol. 69, Issue 1
DOI: 10.1103/PhysRevA.69.010301

Quantum hardware simulating four-dimensional inelastic neutron scattering
journal, March 2019

Chiesa, A.; Tacchino, F.; Grossi, M.
Nature Physics, Vol. 15, Issue 5
DOI: 10.1038/s41567-019-0437-4

Quantum Computing in the NISQ era and beyond
journal, August 2018

Preskill, John
Quantum, Vol. 2
DOI: 10.22331/q-2018-08-06-79

�ber das Paulische �quivalenzverbot
journal, September 1928

Jordan, P.; Wigner, E.
Zeitschrift f�r Physik, Vol. 47, Issue 9-10
DOI: 10.1007/BF01331938

Quantum algorithms for fermionic simulations
journal, July 2001

Ortiz, G.; Gubernatis, J. E.; Knill, E.
Physical Review A, Vol. 64, Issue 2
DOI: 10.1103/PhysRevA.64.022319

Magnetic ground state of FeSe
journal, July 2016

Wang, Qisi; Shen, Yao; Pan, Bingying
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms12182

Theory of Superconductivity
journal, May 1965

Schrieffer, J. R.; Mansfield, John E.
Physics Today, Vol. 18, Issue 5
DOI: 10.1063/1.3047438

Frustrated spin order and stripe fluctuations in FeSe
text, January 2019

Baum, A.; Ruiz, H. N.; Lazarević, N.
Karlsruhe
DOI: 10.5445/ir/1000091360

Magnetic ground state of FeSe
text, January 2015

Wang, Qisi; Shen, Yao; Pan, Bingying
arXiv
DOI: 10.48550/arxiv.1511.02485

Quantum Computing in the NISQ era and beyond
text, January 2018

Preskill, John
arXiv
DOI: 10.48550/arxiv.1801.00862

Quantum hardware simulating four-dimensional inelastic neutron scattering
text, January 2018

Chiesa, A.; Tacchino, F.; Grossi, M.
arXiv
DOI: 10.48550/arxiv.1809.07974

Similar Records in DOE PAGES and OSTI.GOV collections:

Quantum chemistry as a benchmark for near-term quantum computers

Journal Article McCaskey, Alexander J. ; Parks, Zachary P. ; Jakowski, Jacek ; ... - npj Quantum Information

We present a quantum chemistry benchmark for noisy intermediate-scale quantum computers that leverages the variational quantum eigensolver, active-space reduction, a reduced unitary coupled cluster ansatz, and reduced density purification as error mitigation. We demonstrate this benchmark using 4 of the available qubits on the 20-qubit IBM Tokyo and 16-qubit Rigetti Aspen processors via the simulation of alkali metal hydrides (NaH, KH, RbH), with accuracy of the computed ground state energy serving as the primary benchmark metric. We further parameterize this benchmark suite on the trial circuit type, the level of symmetry reduction, and error mitigation strategies. Our results demonstrate themore »« less
https://doi.org/10.1038/s41534-019-0209-0

Full Text Available
Quantum Divide and Compute: Hardware Demonstrations and Noisy Simulations

Conference Ayral, Thomas ; Le Regent, Francois-Marie ; Saleem, Zain ; ...

Noisy, intermediate-scale quantum computers come with intrinsic limitations in terms of the number of qubits (circuit "width") and decoherence time (circuit "depth") they can have. Here, for the first time, we demonstrate a recently introduced method that breaks a circuit into smaller subcircuits or fragments, and thus makes it possible to run circuits that are either too wide or too deep for a given quantum processor. We investigate the behavior of the method on one of IBM's 20-qubit superconducting quantum processors with various numbers of qubits and fragments. We build noise models that capture decoherence, readout error, and gate imperfectionsmore »« less
https://doi.org/10.1109/ISVLSI49217.2020.00034
Minimally entangled state preparation of localized wave functions on quantum computers

Journal Article Klco, Natalie ; Savage, Martin J. - Physical Review A

Initializing a single site of a lattice scalar field theory into an arbitrary state with support throughout the quantum register requiresmore »« less
https://doi.org/10.1103/physreva.102.012612

Full Text Available
State preparation and evolution in quantum computing: a perspective from Hamiltonian moments

Journal Article Aulicino, Joseph C. ; Keen, Trevor ; Peng, Bo - International Journal of Quantum Chemistry

Quantum algorithms on the noisy intermediate-scale quantum (NISQ) devices are expected to simulate quan- tum systems that are classically intractable to demonstrate quantum advantages. However, the non-negligible gate error on the NISQ devices impedes the conventional quantum algorithms to be implemented. Practical strategies usually exploit hybrid quantum-classical quantum algorithms to demonstrate potentially useful ap- plications of quantum computing in the NISQ era. Among the numerous hybrid quantum-classical algorithms, recent efforts highlight the development of quantum algorithms based upon quantum computed Hamiltonian moments, ?f|Hˆn|f? (n = 1, 2, · · · ), with respect to quantum state |f?. In this tutorial,more »« less
https://doi.org/10.1002/qua.26853
Digitization of scalar fields for quantum computing

Journal Article Klco, Natalie ; Savage, Martin J. - Physical Review A

Qubit, operator, and gate resources required for the digitization of lattice λΦ⁴ scalar field theories onto quantum computers are considered, building upon the foundational work by Jordan et al. [Quantum Inf. Comput. 14, 1014 (2014); Science 336, 1130 (2012)], with a focus towards noisy intermediate-scale quantum devices. The Nyquist-Shannon sampling theorem, introduced in this context by Macridin et al. [Phys. Rev. A 98, 042312 (2018)] building on the work of Somma [Quantum Inf. Comput. 16, 1125 (2016)], provides a guide with which to evaluate the efficacy of two field-space bases, the eigenstates of the field operator, as used by Jordanmore »« less
Cited by 9
https://doi.org/10.1103/physreva.99.052335

Full Text Available

Similar Records

Title: Quantum computation of magnon spectra

Abstract

Citation Formats

Frustrated spin order and stripe fluctuations in FeSe journal, February 2019

Efficient Quantum Algorithm for Computing n -time Correlation Functions journal, July 2014

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet journal, December 1940

Simulating quantum many-body dynamics on a current digital quantum computer journal, November 2019

Theory of Superconductivity journal, December 1957

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations journal, May 1983

Universal quantum circuit for two-qubit transformations with three controlled-NOT gates journal, January 2004

Quantum hardware simulating four-dimensional inelastic neutron scattering journal, March 2019

Quantum Computing in the NISQ era and beyond journal, August 2018

�ber das Paulische �quivalenzverbot journal, September 1928

Quantum algorithms for fermionic simulations journal, July 2001

Magnetic ground state of FeSe journal, July 2016

Theory of Superconductivity journal, May 1965

Frustrated spin order and stripe fluctuations in FeSe text, January 2019

Magnetic ground state of FeSe text, January 2015

Quantum Computing in the NISQ era and beyond text, January 2018

Quantum hardware simulating four-dimensional inelastic neutron scattering text, January 2018

Frustrated spin order and stripe fluctuations in FeSe
journal, February 2019

Efficient Quantum Algorithm for Computing $n$ -time Correlation Functions
journal, July 2014

Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940

Simulating quantum many-body dynamics on a current digital quantum computer
journal, November 2019

Theory of Superconductivity
journal, December 1957

Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983

Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
journal, January 2004

Quantum hardware simulating four-dimensional inelastic neutron scattering
journal, March 2019

Quantum Computing in the NISQ era and beyond
journal, August 2018

�ber das Paulische �quivalenzverbot
journal, September 1928

Quantum algorithms for fermionic simulations
journal, July 2001

Magnetic ground state of FeSe
journal, July 2016

Theory of Superconductivity
journal, May 1965

Frustrated spin order and stripe fluctuations in FeSe
text, January 2019

Magnetic ground state of FeSe
text, January 2015

Quantum Computing in the NISQ era and beyond
text, January 2018

Quantum hardware simulating four-dimensional inelastic neutron scattering
text, January 2018