Built on

M. L. Piscopo, M. Spannowsky, and P. Waite, “Solving differential equations with neural networks: Applications to the calculation of cosmological phase transitions”, Phys. Rev
Original
1902
Earlier work this paper cites.
N. G. D. et. al, “Thermally assisted quantum annealing of a 16-qubit problem”, Nature Communications
1903
Earlier work this paper cites.
C. W. Bauer, W. A. De Jong, B. Nachman, and D. Provasoli, “A quantum algorithm for high energy physics simulations”, arXiv:1904.03196
Original
1904
Earlier work this paper cites.
G. D. Molfetta and P. Arrighi, “A quantum walk with both a continuous-time limit and a continuous-spacetime limit”, Quantum Inf Process
Original
1906
Earlier work this paper cites.
A. Y. Wei, P. Naik, A. W. Harrow, and J. Thaler, “Quantum Algorithms for Jet Clustering”, arXiv:1908.08949
Original
1908
Earlier work this paper cites.
E. Gustafson, P. Dreher, Z. Hang, and Y. Meurice, “Real time evolution of a one-dimensional field theory on a 20 qubit machine”, arXiv:1910.09478
Original
1910
Earlier work this paper cites.
A. H. Moosavian, J. R. Garrison, and S. P. Jordan, “Site-by-site quantum state preparation algorithm for preparing vacua of fermionic lattice field theories”, arXiv:1911.03505
Original
1911
Earlier work this paper cites.
N. Klco and M. J. Savage, “Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories”, arXiv:1912.03577
Original
1912
Earlier work this paper cites.
C. Levinthal, “How to fold graciously”, Mossbauer Spectroscopy in Biological Systems: Proceedings of a meeting held at Allerton House, Monticello, Illinois
1969
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory”, Phys. Rev
1977
Earlier work this paper cites.
C. G. Callan, Jr. and S. R. Coleman, “The Fate of the False Vacuum. 2. First Quantum Corrections”, Phys. Rev
1977
Earlier work this paper cites.
R. P. Feynman, “Simulating physics with computers”, Int. J. Theor. Phys
1981
Earlier work this paper cites.
A. D. Linde, “Decay of the False Vacuum at Finite Temperature”, Nucl. Phys
1983
Earlier work this paper cites.
S. Coleman, “Aspects of symmetry: Selected erice lectures”, Cambridge University Press, 1988
1988
Earlier work this paper cites.
A. B. Finilla, M. A. Gomez, C. Sebenik, and J. D. Doll, “Quantum annealing: A new method for minimizing multidimensional functions”, Chem. Phys. Lett
1994
Earlier work this paper cites.
C. Zalka, “Efficient simulation of quantum systems by quantum computers”, Proc. Roy. Soc. Lond
1998
Earlier work this paper cites.
T. Kadowaki and H. Nishimori, “Quantum annealing in the transverse ising model”, Phys. Rev. E
1998
Earlier work this paper cites.

Similar

J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, “Quantum annealing of a disordered magnet”, Science
1999
Cited alongside, same era.
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, “Quantum computation by adiabatic evolution”. ar χ \chi iv:quant-ph/0001106 , 2000
2000
Cited alongside, same era.
K. T. Matchev, P. Shyamsundar, and J. Smolinsky, “A quantum algorithm for model independent searches for new physics”, arXiv:2003.02181
Original
2003
Cited alongside, same era.
H. Neven, V. S. Denchev, M. Drew-Brook, J. Zhang, W. G. Macready, and G. Rose, “Nips 2009 demonstration: Binary classification using hardware implementation of quantum annealing”, 2009
2009
Cited alongside, same era.
S. P. Jordan, K. S. M. Lee, and J. Preskill, “Quantum Algorithms for Quantum Field Theories”, Science
Original

Then

N. Chancellor, “Modernizing quantum annealing using local searches”, New Journal of Physics
2017
Later among the works it cites.
A. Hamed Moosavian and S. Jordan, “Faster Quantum Algorithm to simulate Fermionic Quantum Field Theory”, Phys. Rev
Original
2018
Later among the works it cites.
J. Preskill, “Simulating quantum field theory with a quantum computer”, PoS
Original
2018
Later among the works it cites.
H. Lamm and S. Lawrence, “Simulation of Nonequilibrium Dynamics on a Quantum Computer”, Phys. Rev. Lett
Original
2018
Later among the works it cites.
P. Arrighi, G. D. Molfetta, I. Márquez-Mártin, and A. Pérez, “The dirac equation as a quantum walk over the honeycomb and triangular lattices”, Physical Review A
Original

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2020

Quantum Computing for Quantum Tunnelling

Abel, Steven, Chancellor, Nicholas, Spannowsky, Michael

Understand

We demonstrate how quantum field theory problems can be embedded on quantum annealers.

The general method we use is a discretisation of the field theory problem into a general Ising model, with the continuous field values being encoded into Ising spin chains.
To illustrate the method, and as a simple proof of principle, we use a (hybrid) quantum annealer to recover the correct profile of the thin-wall tunnelling solution.
This method is applicable to many nonperturbative problems.

Built on

M. L. Piscopo, M. Spannowsky, and P. Waite, “Solving differential equations with neural networks: Applications to the calculation of cosmological phase transitions”, Phys. Rev
Original
1902
Earlier work this paper cites.
N. G. D. et. al, “Thermally assisted quantum annealing of a 16-qubit problem”, Nature Communications
1903
Earlier work this paper cites.
C. W. Bauer, W. A. De Jong, B. Nachman, and D. Provasoli, “A quantum algorithm for high energy physics simulations”, arXiv:1904.03196
Original
1904
Earlier work this paper cites.
G. D. Molfetta and P. Arrighi, “A quantum walk with both a continuous-time limit and a continuous-spacetime limit”, Quantum Inf Process
Original
1906
Earlier work this paper cites.
A. Y. Wei, P. Naik, A. W. Harrow, and J. Thaler, “Quantum Algorithms for Jet Clustering”, arXiv:1908.08949
Original
1908
Earlier work this paper cites.
E. Gustafson, P. Dreher, Z. Hang, and Y. Meurice, “Real time evolution of a one-dimensional field theory on a 20 qubit machine”, arXiv:1910.09478
Original
1910
Earlier work this paper cites.
A. H. Moosavian, J. R. Garrison, and S. P. Jordan, “Site-by-site quantum state preparation algorithm for preparing vacua of fermionic lattice field theories”, arXiv:1911.03505
Original
1911
Earlier work this paper cites.
N. Klco and M. J. Savage, “Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories”, arXiv:1912.03577
Original
1912
Earlier work this paper cites.
C. Levinthal, “How to fold graciously”, Mossbauer Spectroscopy in Biological Systems: Proceedings of a meeting held at Allerton House, Monticello, Illinois
1969
Earlier work this paper cites.
S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory”, Phys. Rev
1977
Earlier work this paper cites.
C. G. Callan, Jr. and S. R. Coleman, “The Fate of the False Vacuum. 2. First Quantum Corrections”, Phys. Rev
1977
Earlier work this paper cites.
R. P. Feynman, “Simulating physics with computers”, Int. J. Theor. Phys
1981
Earlier work this paper cites.
A. D. Linde, “Decay of the False Vacuum at Finite Temperature”, Nucl. Phys
1983
Earlier work this paper cites.
S. Coleman, “Aspects of symmetry: Selected erice lectures”, Cambridge University Press, 1988
1988
Earlier work this paper cites.
A. B. Finilla, M. A. Gomez, C. Sebenik, and J. D. Doll, “Quantum annealing: A new method for minimizing multidimensional functions”, Chem. Phys. Lett
1994
Earlier work this paper cites.
C. Zalka, “Efficient simulation of quantum systems by quantum computers”, Proc. Roy. Soc. Lond
1998
Earlier work this paper cites.
T. Kadowaki and H. Nishimori, “Quantum annealing in the transverse ising model”, Phys. Rev. E
1998
Earlier work this paper cites.

Similar

J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, “Quantum annealing of a disordered magnet”, Science
1999
Cited alongside, same era.
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, “Quantum computation by adiabatic evolution”. ar χ \chi iv:quant-ph/0001106 , 2000
2000
Cited alongside, same era.
K. T. Matchev, P. Shyamsundar, and J. Smolinsky, “A quantum algorithm for model independent searches for new physics”, arXiv:2003.02181
Original
2003
Cited alongside, same era.
H. Neven, V. S. Denchev, M. Drew-Brook, J. Zhang, W. G. Macready, and G. Rose, “Nips 2009 demonstration: Binary classification using hardware implementation of quantum annealing”, 2009
2009
Cited alongside, same era.
S. P. Jordan, K. S. M. Lee, and J. Preskill, “Quantum Algorithms for Quantum Field Theories”, Science
Original

Then

N. Chancellor, “Modernizing quantum annealing using local searches”, New Journal of Physics
2017
Later among the works it cites.
A. Hamed Moosavian and S. Jordan, “Faster Quantum Algorithm to simulate Fermionic Quantum Field Theory”, Phys. Rev
Original
2018
Later among the works it cites.
J. Preskill, “Simulating quantum field theory with a quantum computer”, PoS
Original
2018
Later among the works it cites.
H. Lamm and S. Lawrence, “Simulation of Nonequilibrium Dynamics on a Quantum Computer”, Phys. Rev. Lett
Original
2018
Later among the works it cites.
P. Arrighi, G. D. Molfetta, I. Márquez-Mártin, and A. Pérez, “The dirac equation as a quantum walk over the honeycomb and triangular lattices”, Physical Review A
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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2012

Cited alongside, same era.

S. P. Jordan, K. S. M. Lee, and J. Preskill, “Quantum Computation of Scattering in Scalar Quantum Field Theories”, arXiv:1112.4833 , [Quant. Inf. Comput.14,1014(2014)]

Original

2014

Cited alongside, same era.

S. P. Jordan, K. S. M. Lee, and J. Preskill, “Quantum Algorithms for Fermionic Quantum Field Theories”, arXiv:1404.7115

Original

2014

Cited alongside, same era.

T. Lanting, A. J. Przybysz, A. Y. Smirnov, F. M. Spedalieri, M. H. Amin, A. J. Berkley, R. Harris, F. Altomare, S. Boixo, P. Bunyk, N. Dickson, C. Enderud, J. P. Hilton, E. Hoskinson, M. W. Johnson, E. Ladizinsky, N. Ladizinsky, R. Neufeld, T. Oh, I. Perminov, C. Rich, M. C. Thom, E. Tolkacheva, S. Uchaikin, A. B. Wilson, and G. Rose, “Entanglement in a quantum annealing processor”, Phys. Rev. X

2014

Cited alongside, same era.

L. García-Álvarez, J. Casanova, A. Mezzacapo, I. L. Egusquiza, L. Lamata, G. Romero, and E. Solano, “Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits”, Phys. Rev. Lett

Original

2015

Cited alongside, same era.

T. Albash, W. Vinci, A. Mishra, P. A. Warburton, and D. A. Lidar, “Consistency tests of classical and quantum models for a quantum annealer”, Phys. Rev. A

2015

Cited alongside, same era.

M. E. Beverland, O. Buerschaper, R. Koenig, F. Pastawski, J. Preskill, and S. Sijher, “Protected gates for topological quantum field theories”, J. Math. Phys

Original

2016

Cited alongside, same era.

S. Boixo, V. N. Smelyanskiy, A. Shabani, S. V. Isakov, M. Dykman, V. S. Denchev, M. H. Amin, A. Y. Smirnov, M. Mohseni, and H. Neven, “Computational multiqubit tunnelling in programmable quantum annealers”, Nature Communications

2016

Cited alongside, same era.

2018