Systematic input scheme for many-boson Hamiltonians with applications to the two-dimensional 𝜙4 theory

Du, Weijie; Vary, James P.

doi:10.1103/PhysRevD.111.016013

Title: Systematic input scheme for many-boson Hamiltonians with applications to the two-dimensional 𝜙⁴ theory

Journal Article · Mon Jan 13 00:00:00 UTC 2025 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.111.016013 · OSTI ID:2897893

^[1];

^[1]

Iowa State University, Ames, IA (United States)

We develop a novel, systematic input scheme for many-boson Hamiltonians in order to solve field theory problems within the light-front Hamiltonian formalism via quantum computing. We present our discussion of this input scheme based on the light-front Hamiltonian of the two-dimensional ϕ⁴ theory. In our input scheme, we employ a set of quantum registers, where each register encodes the occupation of a distinct boson mode as binaries. We squeeze the boson operators of each mode and present the Hamiltonian in terms of unique combinations of the squeezed-boson operators. We design the circuit modules for these unique combinations. Based on these circuit modules, we block encode the many-boson Hamiltonian utilizing the idea of quantum walk. For demonstration purposes, we present the spectral calculations of the Hamiltonian utilizing the hybrid quantum-classical symmetry-adapted quantum Krylov subspace diagonalization algorithm based on our input scheme, where the quantum computations are performed with the IBM Qiskit quantum simulator. The results of the hybrid calculations agree with exact results. Here, we can incorporate the input scheme in this work with the input scheme for many-fermion Hamiltonians; they jointly offer new pathways to solving the structure and dynamics of more general field theory problems on future fault-tolerant quantum computers.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Iowa State University, Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0023707

OSTI ID:: 2897893

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 1 Vol. 111; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (74)

Simulating physics with computers Feynman, Richard P. International Journal of Theoretical Physics, Vol. 21, Issue 6-7 https://doi.org/10.1007/BF02650179	journal	June 1982
RG flow from ϕ 4 theory to the 2D Ising model Anand, Nikhil; Genest, Vincent X.; Katz, Emanuel Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)056	journal	August 2017
On the Relationship Between Continuous- and Discrete-Time Quantum Walk Childs, Andrew M. Communications in Mathematical Physics, Vol. 294, Issue 2 https://doi.org/10.1007/s00220-009-0930-1	journal	October 2009
Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization Vary, James P.; Adhikari, Lekha; Chen, Guangyao Few-Body Systems, Vol. 59, Issue 4 https://doi.org/10.1007/s00601-018-1356-0	journal	April 2018
On the Nonorthogonality Problem Löwdin, Per-Olov Advances in Quantum Chemistry https://doi.org/10.1016/S0065-3276(08)60339-1	book	January 1970
Quantum chromodynamics and other field theories on the light cone Brodsky, S. Physics Reports, Vol. 301, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00089-6	journal	August 1998
ScaffCC: Scalable compilation and analysis of quantum programs JavadiAbhari, Ali; Patil, Shruti; Kudrow, Daniel Parallel Computing, Vol. 45 https://doi.org/10.1016/j.parco.2014.12.001	journal	June 2015
Non-perturbative quantum time evolution on the light-front Zhao, Xingbo; Ilderton, Anton; Maris, Pieter Physics Letters B, Vol. 726, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.09.030	journal	November 2013
Electron g-2 in Light-front Quantization Zhao, Xingbo; Honkanen, Heli; Maris, Pieter Physics Letters B, Vol. 737 https://doi.org/10.1016/j.physletb.2014.08.020	journal	October 2014
Heavy quarkonium in a holographic basis Li, Yang; Maris, Pieter; Zhao, Xingbo Physics Letters B, Vol. 758 https://doi.org/10.1016/j.physletb.2016.04.065	journal	July 2016
Quantum simulation of fundamental particles and forces Bauer, Christian W.; Davoudi, Zohreh; Klco, Natalie Nature Reviews Physics, Vol. 5, Issue 7 https://doi.org/10.1038/s42254-023-00599-8	journal	June 2023
Exponentially more precise quantum simulation of fermions in second quantization Babbush, Ryan; Berry, Dominic W.; Kivlichan, Ian D. New Journal of Physics, Vol. 18, Issue 3 https://doi.org/10.1088/1367-2630/18/3/033032	journal	March 2016
Grand Unification of Quantum Algorithms Martyn, John M.; Rossi, Zane M.; Tan, Andrew K. PRX Quantum, Vol. 2, Issue 4 https://doi.org/10.1103/PRXQuantum.2.040203	journal	December 2021
Ground-State Preparation and Energy Estimation on Early Fault-Tolerant Quantum Computers via Quantum Eigenvalue Transformation of Unitary Matrices Dong, Yulong; Lin, Lin; Tong, Yu PRX Quantum, Vol. 3, Issue 4 https://doi.org/10.1103/PRXQuantum.3.040305	journal	October 2022
Quantum Simulation for High-Energy Physics Bauer, Christian W.; Davoudi, Zohreh; Balantekin, A. Baha PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.027001	journal	May 2023
Quantum Computation of Dynamical Quantum Phase Transitions and Entanglement Tomography in a Lattice Gauge Theory Mueller, Niklas; Carolan, Joseph A.; Connelly, Andrew PRX Quantum, Vol. 4, Issue 3 https://doi.org/10.1103/PRXQuantum.4.030323	journal	August 2023
Single-particle digitization strategy for quantum computation of a ϕ 4 scalar field theory Barata, João; Mueller, Niklas; Tarasov, Andrey Physical Review A, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevA.103.042410	journal	April 2021
Simulating hadronic physics on noisy intermediate-scale quantum devices using basis light-front quantization Kreshchuk, Michael; Jia, Shaoyang; Kirby, William M. Physical Review A, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevA.103.062601	journal	June 2021
Quantum simulation of second-quantized Hamiltonians in compact encoding Kirby, William M.; Hadi, Sultana; Kreshchuk, Michael Physical Review A, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevA.104.042607	journal	October 2021
Quantum simulation of quantum field theory in the light-front formulation Kreshchuk, Michael; Kirby, William M.; Goldstein, Gary Physical Review A, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevA.105.032418	journal	March 2022
Simulating scalar field theories on quantum computers with limited resources Li, Andy C. Y.; Macridin, Alexandru; Mrenna, Stephen Physical Review A, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevA.107.032603	journal	March 2023
Multinucleon structure and dynamics via quantum computing Du, Weijie; Vary, James P. Physical Review A, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevA.108.052614	journal	November 2023
Quantum-classical computation of Schwinger model dynamics using quantum computers Klco, N.; Dumitrescu, E. F.; McCaskey, A. J. Physical Review A, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevA.98.032331	journal	September 2018
Digitization of scalar fields for quantum computing Klco, Natalie; Savage, Martin J. Physical Review A, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevA.99.052335	journal	May 2019
Basis light-front quantization for a chiral nucleon-pion Lagrangian Du, Weijie; Li, Yang; Zhao, Xingbo Physical Review C, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevC.101.035202	journal	March 2020
Light mesons within the basis light-front quantization framework Qian, Wenyang; Jia, Shaoyang; Li, Yang Physical Review C, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevC.102.055207	journal	November 2020
Hamiltonian light-front field theory in a basis function approach Vary, J. P.; Honkanen, H.; Li, Jun Physical Review C, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevC.81.035205	journal	March 2010
Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions Jia, Shaoyang; Vary, James P. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevC.99.035206	journal	March 2019
Computation of effective front form Hamiltonians for massive Abelian gauge theory Głazek, Stanisław D. Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034005	journal	February 2020
Pion and kaon parton distribution functions from basis light front quantization and QCD evolution Lan, Jiangshan; Mondal, Chandan; Jia, Shaoyang Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034024	journal	February 2020
SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers Klco, Natalie; Savage, Martin J.; Stryker, Jesse R. Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074512	journal	April 2020
Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach Li, Meijian; Zhao, Xingbo; Maris, Pieter Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.076016	journal	April 2020
Proton structure from a light-front Hamiltonian Mondal, Chandan; Xu, Siqi; Lan, Jiangshan Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.016008	journal	July 2020
Elementary example of exact effective-Hamiltonian computation Głazek, Stanisław D. Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014021	journal	January 2021
Scattering and gluon emission in a color field: A light-front Hamiltonian approach Li, Meijian; Lappi, Tuomas; Zhao, Xingbo Physical Review D, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevD.104.056014	journal	September 2021
Nucleon structure from basis light-front quantization Xu, Siqi; Mondal, Chandan; Lan, Jiangshan Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094036	journal	November 2021
Critical coupling for two-dimensional ϕ4 theory in discretized light-cone quantization Vary, James P.; Huang, Mengyao; Jawadekar, Shreeram Physical Review D, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevD.105.016020	journal	January 2022
Tadpoles and vacuum bubbles in light-front quantization Chabysheva, S. S.; Hiller, J. R. Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.116006	journal	June 2022
Medium induced jet broadening in a quantum computer Barata, João; Du, Xiaojian; Li, Meijian Physical Review D, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevD.106.074013	journal	October 2022
Perturbative boundaries of quantum advantage: Real-time evolution for digitized λϕ4 lattice models Maxton, Robert; Meurice, Yannick Physical Review D, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevD.107.074508	journal	April 2023
Efficient representation for simulating U(1) gauge theories on digital quantum computers at all values of the coupling Bauer, Christian W.; Grabowska, Dorota M. Physical Review D, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevD.107.L031503	journal	February 2023
Quantum simulation of in-medium QCD jets: Momentum broadening, gluon production, and entropy growth Barata, João; Du, Xiaojian; Li, Meijian Physical Review D, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevD.108.056023	journal	September 2023
Simple Hamiltonian for quantum simulation of strongly coupled (2+1)D SU(2) lattice gauge theory on a honeycomb lattice Müller, Berndt; Yao, Xiaojun Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.094505	journal	November 2023
New basis for Hamiltonian SU(2) simulations D’Andrea, Irian; Bauer, Christian W.; Grabowska, Dorota M. Physical Review D, Vol. 109, Issue 7 https://doi.org/10.1103/PhysRevD.109.074501	journal	April 2024
Quantum sine-Gordon equation as the massive Thirring model Coleman, Sidney Physical Review D, Vol. 11, Issue 8 https://doi.org/10.1103/PhysRevD.11.2088	journal	April 1975
Efficient and precise quantum simulation of ultrarelativistic quark-nucleus scattering Wu, Sihao; Du, Weijie; Zhao, Xingbo Physical Review D, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevD.110.056044	journal	September 2024
Existence of a second-order phase transition in a two-dimensional φ 4 field theory Chang, Shau-Jin Physical Review D, Vol. 13, Issue 10 https://doi.org/10.1103/PhysRevD.13.2778	journal	May 1976
Solving field theory in one space and one time dimension Pauli, Hans-Christian; Brodsky, Stanley J. Physical Review D, Vol. 32, Issue 8 https://doi.org/10.1103/PhysRevD.32.1993	journal	October 1985
Discretized light-cone quantization: Solution to a field theory in one space and one time dimension Pauli, Hans-Christian; Brodsky, Stanley J. Physical Review D, Vol. 32, Issue 8 https://doi.org/10.1103/PhysRevD.32.2001	journal	October 1985
Discretized light-cone quantization: The massless and the massive Schwinger model Eller, Thomas; Pauli, Hans-Christian; Brodsky, Stanley J. Physical Review D, Vol. 35, Issue 4 https://doi.org/10.1103/PhysRevD.35.1493	journal	February 1987
Solving two-dimensional φ 4 theory by discretized light-front quantization Harindranath, A.; Vary, J. P. Physical Review D, Vol. 36, Issue 4 https://doi.org/10.1103/PhysRevD.36.1141	journal	August 1987
Relativistic bound-state problem in the light-front Yukawa model Głazek, Stanisław; Harindranath, Avaroth; Pinsky, Stephen Physical Review D, Vol. 47, Issue 4 https://doi.org/10.1103/PhysRevD.47.1599	journal	February 1993
Scattering in time-dependent basis light-front quantization Zhao, Xingbo; Ilderton, Anton; Maris, Pieter Physical Review D, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevD.88.065014	journal	September 2013
Basis light-front quantization approach to positronium Wiecki, Paul; Li, Yang; Zhao, Xingbo Physical Review D, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevD.91.105009	journal	May 2015
Two-dimensional light-front ϕ 4 theory in a symmetric polynomial basis Burkardt, Matthias; Chabysheva, Sophia S.; Hiller, John R. Physical Review D, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevD.94.065006	journal	September 2016
Quarkonium as a relativistic bound state on the light front Li, Yang; Maris, Pieter; Vary, James P. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.016022	journal	July 2017
Radiative transitions between 0 − + and 1 − − heavy quarkonia on the light front Li, Meijian; Li, Yang; Maris, Pieter Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.034024	journal	August 2018
Universal Computation by Quantum Walk Childs, Andrew M. Physical Review Letters, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevLett.102.180501	journal	May 2009
Electron in a Transverse Harmonic Cavity Honkanen, H.; Maris, P.; Vary, J. P. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.061603	journal	February 2011
Optimal Hamiltonian Simulation by Quantum Signal Processing Low, Guang Hao; Chuang, Isaac L. Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.010501	journal	January 2017
Quantum Simulation of SU(3) Lattice Yang-Mills Theory at Leading Order in Large- Nc Expansion Ciavarella, Anthony N.; Bauer, Christian W. Physical Review Letters, Vol. 133, Issue 11 https://doi.org/10.1103/PhysRevLett.133.111901	journal	September 2024
Solving hadron structures using the basis light-front quantization approach on quantum computers Qian, Wenyang; Basili, Robert; Pal, Soham Physical Review Research, Vol. 4, Issue 4 https://doi.org/10.1103/PhysRevResearch.4.043193	journal	December 2022
Forms of Relativistic Dynamics Dirac, P. A. M. Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.392	journal	July 1949
Quantum Algorithms for Quantum Field Theories Jordan, S. P.; Lee, K. S. M.; Preskill, J. Science, Vol. 336, Issue 6085 https://doi.org/10.1126/science.1217069	journal	May 2012
A Theory of Quantum Subspace Diagonalization Epperly, Ethan N.; Lin, Lin; Nakatsukasa, Yuji SIAM Journal on Matrix Analysis and Applications, Vol. 43, Issue 3 https://doi.org/10.1137/21M145954X	journal	August 2022
An Introduction To Quantum Field Theory Peskin, Michael E. https://doi.org/10.1201/9780429503559	book	January 2018
Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Exact and efficient Lanczos method on a quantum computer Kirby, William; Motta, Mario; Mezzacapo, Antonio Quantum, Vol. 7 https://doi.org/10.22331/q-2023-05-23-1018	journal	May 2023
General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory Davoudi, Zohreh; Shaw, Alexander F.; Stryker, Jesse R. Quantum, Vol. 7 https://doi.org/10.22331/q-2023-12-20-1213	journal	December 2023
Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer Davoudi, Zohreh; Hsieh, Chung-Chun; Kadam, Saurabh V. Quantum, Vol. 8 https://doi.org/10.22331/q-2024-11-11-1520	journal	November 2024
Black-box Hamiltonian simulation and unitary implementation Childs, Andrew M.; Berry, Dominic W. Quantum Information and Computation, Vol. 12, Issue 1&2 https://doi.org/10.26421/QIC12.1-2-4	journal	January 2012
Hamiltonian simulation using linear combinations of unitary operations Childs, Andrew M.; Wiebe, Nathan Quantum Information and Computation, Vol. 12, Issue 11&12 https://doi.org/10.26421/QIC12.11-12-1	journal	November 2012
Light-Front Field Theory on Current Quantum Computers Kreshchuk, Michael; Jia, Shaoyang; Kirby, William M. Entropy, Vol. 23, Issue 5 https://doi.org/10.3390/e23050597	journal	May 2021
Generalized Hamiltonian Dynamics Dirac, P. A. M. Canadian Journal of Mathematics, Vol. 2 https://doi.org/10.4153/CJM-1950-012-1	journal	January 1950

Similar Records

Systematic many-fermion Hamiltonian input scheme and spectral calculations on quantum computers

Journal Article · Fri May 09 00:00:00 UTC 2025 · Physics Letters. B · OSTI ID:2566618

Du, Weijie; Vary, James P.

Multinucleon structure and dynamics via quantum computing

Journal Article · Mon Nov 27 00:00:00 UTC 2023 · Physical Review A · OSTI ID:2278812

Du, Weijie; Vary, James P.

Encoding an Oscillator into Many Oscillators

Journal Article · Tue Aug 18 00:00:00 UTC 2020 · Physical Review Letters · OSTI ID:1803802

Noh, Kyungjoo; Girvin, S. M.; Jiang, Liang

Related Subjects

Ab initio calculations
Many-body techniques
Nuclear many-body theory
Quantum circuits
Quantum computation
Quantum field theory
Quantum simulation

Title: Systematic input scheme for many-boson Hamiltonians with applications to the two-dimensional 𝜙4 theory

Citation Formats

References (74)

Similar Records

Related Subjects

Title: Systematic input scheme for many-boson Hamiltonians with applications to the two-dimensional 𝜙⁴ theory