Holographic quantum algorithms for simulating correlated spin systems
Open accessAbstract
We present a suite of ``holographic'' quantum algorithms for efficient ground-state preparation and dynamical evolution of correlated spin systems, which require far fewer qubits than the number of spins being simulated. The algorithms exploit the equivalence between matrix-product states (MPS) and quantum channels, along with partial measurement and qubit reuse, in order to simulate a $D$-dimensional spin system using only a $(D\ensuremath{-}1)$-dimensional subset of qubits along with an ancillary qubit register whose size scales logarithmically in the amount of entanglement present in the simulated state. Ground states can either be directly prepared from a known MPS representation or obtained via a holographic variational quantum eigensolver (holoVQE). Dynamics of MPS under local Hamiltonians for time $t$ can also be simulated with an additional (multiplicative) $\mathrm{poly}(t)$ overhead in qubit resources. These techniques open the door to efficient quantum simulation of MPS with exponentially large bond dimension, including ground states of two- and three-dimensional systems, or thermalizing dynamics with rapid entanglement growth. As a demonstration of the potential resource savings, we implement a holoVQE simulation of the antiferromagnetic Heisenberg chain on a trapped-ion quantum computer, achieving within $10(3)%$ of the exact ground-state energy of an infinite chain using only a pair of qubits.
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A GHZ fidelity greater than 0.5 is sufficient to witness genuine multipartite entanglement.
“By comparison, a GHZ fidelity greater than 0.5 is sufficient to witness genuine multipartite entanglement [83].”
From A Race-Track Trapped-Ion Quantum Processor (2023) · cites this paper as [83]
Cites
A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P. J., Aspuru-Guzik, A., & O’Brien, J. L. (2014) · Nature Communications · doi:10.1038/ncomms5213 · Cited by 4,552 · see citing works
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088 · cited 2× · see citing works
“[12] Seth Lloyd, “Universal quantum simulators,” Science 273, 1073–1078 (1996).”
BackgroundTopological Entanglement Entropy
Kitaev, A., & Preskill, J. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110404 · Cited by 2,409 · see citing works
Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,084 · see citing works
Colloquium : Many-body localization, thermalization, and entanglement
Abanin, D. A., Altman, E., Bloch, I., & Serbyn, M. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.021001 · Cited by 1,803 · see citing works
Quantum Chemistry in the Age of Quantum Computing
Cao, Y., Romero, J., Olson, J. P., Degroote, M., Johnson, P. D., Kieferová, M., Kivlichan, I. D., Menke, T., Peropadre, B., Sawaya, N. P. D., et al. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00803 · Cited by 1,560 · see citing works
Finitely correlated states on quantum spin chains
Fannes, M., Nachtergaele, B., & Werner, R. F. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02099178 · Cited by 1,422 · see citing works
Quantum principal component analysis
Lloyd, S., Mohseni, M., & Rebentrost, P. (2014) · Nature Physics · doi:10.1038/nphys3029 · Cited by 1,385 · see citing works
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341 · see citing works
Multiparticle Entanglement of Hot Trapped Ions
Mølmer, K., & Sørensen, A. S. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1835 · Cited by 995 · see citing works
Deterministic quantum teleportation of atomic qubits
Barrett, M. D., Chiaverini, J., Schaetz, T., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., Leibfried, D., Ozeri, R., et al. (2004) · Nature · doi:10.1038/nature02608 · Cited by 975 · see citing works
Quantum Entanglement Growth under Random Unitary Dynamics
Nahum, A., Ruhman, J., Vijay, S., & Haah, J. (2017) · Physical Review X · doi:10.1103/physrevx.7.031016 · Cited by 858 · see citing works
Probing Rényi entanglement entropy via randomized measurements
Brydges, T., Elben, A., Jurcevic, P., Vermersch, B., Maier, C., Lanyon, B. P., Zoller, P., Blatt, R., & Roos, C. F. (2019) · Science · doi:10.1126/science.aau4963 · Cited by 636 · see citing works
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
von Keyserlingk, C. W., Rakovszky, T., Pollmann, F., & Sondhi, S. L. (2018) · Physical Review X · doi:10.1103/physrevx.8.021013 · Cited by 589 · see citing works
Quantum Simulators: Architectures and Opportunities
Altman, E., Brown, K. R., Carleo, G., Carr, L. D., Demler, E., Chin, C., DeMarco, B., Economou, S. E., Eriksson, M. A., Fu, K. C., et al. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.017003 · Cited by 588 · see citing works
Self-citationSimulating lattice gauge theories within quantum technologies
Bañuls, M. C., Blatt, R., Catani, J., Celi, A., Cirac, J. I., Dalmonte, M., Fallani, L., Jansen, K., Lewenstein, M., Montangero, S., et al. (2020) · The European Physical Journal D · doi:10.1140/epjd/e2020-100571-8 · Cited by 570 · see citing works
Matrix Product State Representations
Perez-Garcia, D., Verstraete, F., Wolf, M., & Cirac, J. I. (2006) · Ghent University Academic Bibliography (Ghent University) · Cited by 565 · see citing works
Quantum autoencoders for efficient compression of quantum data
Romero, J., Olson, J. P., & Aspuru-Guzik, A. (2017) · Quantum Science and Technology · doi:10.1088/2058-9565/aa8072 · Cited by 559 · see citing works
Demonstration of the trapped-ion quantum CCD computer architecture
Pino, J. M., Dreiling, J. M., Figgatt, C., Gaebler, J. P., Moses, S. A., Allman, M. S., Baldwin, C. H., Foss-Feig, M., Hayes, D., Mayer, K., et al. (2021) · Nature · doi:10.1038/s41586-021-03318-4 · Cited by 547 · see citing works
Self-citationTheory of Trotter Error with Commutator Scaling
Childs, A. M., Su, Y., Tran, M. C., Wiebe, N., & Zhu, S. (2021) · Physical Review X · doi:10.1103/physrevx.11.011020 · Cited by 545 · see citing works
Realization of quantum error correction
Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., et al. (2004) · Nature · doi:10.1038/nature03074 · Cited by 517 · see citing works
Measuring the scrambling of quantum information
Swingle, B. G., Bentsen, G. S., Schleier-Smith, M., & Hayden, P. M. (2016) · Physical Review A · doi:10.1103/physreva.94.040302 · Cited by 487 · see citing works
Direct Estimations of Linear and Nonlinear Functionals of a Quantum State
Ekert, A. K., Alves, C. M., Oi, D. K. L., Horodecki, M., Horodecki, P., & Kwek, L. C. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.217901 · Cited by 427 · see citing works
Towards quantum machine learning with tensor networks
Huggins, W. J., Patil, P., Mitchell, B., Whaley, K. B., & Stoudenmire, E. M. (2018) · Quantum Science and Technology · doi:10.1088/2058-9565/aaea94 · Cited by 363 · see citing works
Sequential Generation of Entangled Multiqubit States
Schön, C., Solano, E., Verstraete, F., Cirac, J. I., & Wolf, M. M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.110503 · Cited by 343 · see citing works
Computational complexity of projected entangled pair states
Schuch, N., Wolf, M. M., Verstraete, F., & Cirac, J. I. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.140506 · Cited by 313 · see citing works
Hybrid Quantum-Classical Approach to Correlated Materials
Bauer, B., Wecker, D., Millis, A. J., Hastings, M. B., & Troyer, M. (2016) · Physical Review X · doi:10.1103/physrevx.6.031045 · Cited by 254 · see citing works
Unitary circuits of finite depth and infinite width from quantum channels
Gopalakrishnan, S., & Lamacraft, A. (2019) · Physical Review B · doi:10.1103/physrevb.100.064309 · Cited by 178 · see citing works
Nearly Optimal Lattice Simulation by Product Formulas
Childs, A. M., & Su, Y. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.050503 · Cited by 172 · see citing works
Variational quantum eigensolver with fewer qubits
Liu, J.-G., Zhang, Y.-H., Wan, Y., & Wang, L. (2019) · Physical Review Research · doi:10.1103/physrevresearch.1.023025 · Cited by 166 · see citing works
ALGEBRAIC ASPECTS OF THE BETHE ANSATZ
Faddeev, L. D. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000905 · Cited by 165 · see citing works
Probing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry
Knap, M., Kantian, A., Giamarchi, T., Bloch, I., Lukin, M. D., & Demler, E. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.147205 · Cited by 158 · see citing works
Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians
Haah, J., Hastings, M. B., Kothari, R., & Low, G. H. (2021) · SIAM Journal on Computing · doi:10.1137/18m1231511 · Cited by 155 · see citing works
Realization of a programmable two-qubit quantum processor
Hanneke, D., Home, J., Jost, J. D., Amini, J., Leibfried, D. G., & Wineland, D. J. (2009) · Nature Physics · doi:10.1038/nphys1453 · Cited by 146 · see citing works
Isometric Tensor Network States in Two Dimensions
Zaletel, M. P., & Pollmann, F. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.037201 · Cited by 138 · see citing works
Variational Thermal Quantum Simulation via Thermofield Double States
Wu, J., & Hsieh, T. H. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.220502 · Cited by 137 · see citing works
Quantum singular-value decomposition of nonsparse low-rank matrices
Rebentrost, P., Steffens, A., Marvian, I., & Lloyd, S. (2018) · Physical Review A · doi:10.1103/physreva.97.012327 · Cited by 132 · see citing works
Parallel quantum simulation of large systems on small NISQ computers
Barratt, F., Dborin, J., Bal, M., Stojevic, V., Pollmann, F., & Green, A. G. (2021) · npj Quantum Information · doi:10.1038/s41534-021-00420-3 · Cited by 111 · see citing works
Generation of thermofield double states and critical ground states with a quantum computer
Zhu, D., Johri, S., Linke, N. M., Landsman, K. A., Alderete, C. H., Nguyen, N. H., Matsuura, A. Y., Hsieh, T. H., & Monroe, C. R. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2006337117 · Cited by 111 · see citing works
Fermionic matrix product states and one-dimensional topological phases
Bultinck, N., Williamson, D. J., Haegeman, J., & Verstraete, F. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.075108 · Cited by 102 · see citing works
Isometric tensor network representation of string-net liquids
Soejima, T., Siva, K., Bultinck, N., Chatterjee, S., Pollmann, F., & Zaletel, M. P. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.085117 · Cited by 51 · see citing works
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Zoufal, C., Mishmash, R. V., Sharma, N., Kumar, N., Sheshadri, A., Deshmukh, A. A., Ibrahim, N., Gacon, J., & Woerner, S. (2023) · Quantum · doi:10.22331/q-2023-01-26-909 · Cited by 27 · see citing works
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Stair, N. H., & Evangelista, F. A. (2022) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.1c01155 · Cited by 27 · see citing works
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Endo, K., Sato, Y., Raymond, R., Wada, K., Yamamoto, N., & Watanabe, H. C. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.043136 · Cited by 7 · see citing works
Quantum phase transitions between symmetry-enriched fracton phases
Boesl, J., Liu, Y.-J., Xu, W.-T., Pollmann, F., & Knap, M. (2025) · Physical review. B./Physical review. B · doi:10.1103/fsr8-xd4n · Cited by 6 · see citing works
Holographic Gaussian Boson Sampling with Matrix Product States on 3D cQED Processors
Lyu, N., Bergold, P., Soley, M. B., Wang, C., & Batista, V. S. (2024) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.4c00384 · Cited by 6 · see citing works
Barnes, K. M., Buyskikh, A. S., Chen, N. Y., Gallardo, G., Ghibaudi, M., Ruszala, M. J. A., Underwood, D. S., Agarwal, A., Lall, D., Rungger, I., et al. (2023) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-023-00192-z · Cited by 6 · see citing works
Holographic dynamics simulations with a trapped ion quantum computer
Chertkov, E., Bohnet, J., Francois, D., Gaebler, J., Gresh, D., Hankin, A. M., Lee, K., Hayes, D., Neyenhuis, B., Stutz, R., et al. (2021) · Quantum Information and Measurement (QIM) · doi:10.1364/qim.2021.w3a.3 · Cited by 6 · see citing works
Self-citationPseudoentanglement from Tensor Networks
Cheng, Z., Feng, X., & Ippoliti, M. (2025) · Physical Review Letters · doi:10.1103/7p1r-r2p6 · Cited by 5 · see citing works
Emergent Unitary Designs for Encoded Qubits from Coherent Errors and Syndrome Measurements
Cheng, Z., Huang, E., Khemani, V., Gullans, M. J., & Ippoliti, M. (2025) · PRX Quantum · doi:10.1103/bnld-2chd · Cited by 5 · see citing works
Accelerating two-dimensional electronic spectroscopy simulations with a probe qubit protocol
Guimarães, J. D., Lim, J., Vasilevskiy, M. I., Huelga, S. F., & Plenio, M. B. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.023130 · Cited by 5 · see citing works
Metrology of open quantum systems from emitted radiation
Midha, S., & Gopalakrishnan, S. (2025) · Physical Review A · doi:10.1103/gkdm-h2wx · Cited by 5 · see citing works
Universality of Critical Dynamics with Finite Entanglement
Sherman, N. E., Avdoshkin, A., & Moore, J. E. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.106501 · Cited by 8 · see citing works
Quantum algorithm for the calculation of transition amplitudes in hybrid tensor networks
Kanno, S., Endo, S., Suzuki, Y., & Tokunaga, Y. (2021) · Physical Review A · doi:10.1103/physreva.104.042424 · Cited by 5 · see citing works
Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization
Nakada, H., Tanahashi, K., & Tanaka, S. (2025) · IEEE Access · doi:10.1109/access.2025.3563960 · Cited by 4 · see citing works
Sequential quantum simulation of spin chains with a single circuit QED device
Zhang, Y., Jahanbani, S., Riswadkar, A., Shankar, S., & Potter, A. C. (2024) · Physical Review A · doi:10.1103/physreva.109.022606 · Cited by 4 · see citing works
Self-citationPreparing Renormalization Group Fixed Points on NISQ HardwarePreprint
Sewell, T. J., & Jordan, S. P. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2109.09787 · Cited by 4 · see citing works
Li, H.-E., Li, X., Huang, J.-C., Zhang, G.-Z., Shen, Z.-P., Zhao, C., Li, J., & Hu, H. (2024) · The Journal of Chemical Physics · doi:10.1063/5.0228731 · Cited by 3 · see citing works
Quantum computing hardware in the cloud : should a computational chemist care?
Rossi, A., Baity, P., Schäfer, V. M., & Weides, M. P. (2021) · Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) · Cited by 3 · see citing works
Straddling-gates problem in multipartite quantum systems
Zhang, Y. (2022) · Physical Review A · doi:10.1103/physreva.105.062430 · Cited by 3 · see citing works
Two-dimensional isometric tensor networks on an infinite strip
Wu, Y., Anand, S., Lin, S.-H., Pollmann, F., & Zaletel, M. P. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.245118 · Cited by 3 · see citing works
Variational Quantum Simulation of Valence-Bond Solids
Huerga, D. (2022) · Quantum · doi:10.22331/q-2022-12-13-874 · Cited by 3 · see citing works
Stair, N. H., & Evangelista, F. A. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2108.04413 · Cited by 3 · see citing works
Simulating Large PEPs Tensor Networks on Small Quantum DevicesPreprint
MacCormack, I., Galda, A., & Lyon, A. L. (2022) · Research Square · doi:10.21203/rs.3.rs-1825029/v1 · Cited by 4 · see citing works
Simulating topological order on quantum processors
Gammon-Smith, A., Knap, M., & Pollmann, F. (2026) · Nature Reviews Physics · doi:10.1038/s42254-025-00911-8 · Cited by 2 · see citing works
Alternating and Gaussian Fermionic Isometric Tensor Network States
Wu, Y., Dai, Z., Anand, S., Lin, S.-H., Yang, Q., Wang, L., Pollmann, F., & Zaletel, M. P. (2025) · PRX Quantum · doi:10.1103/8ypw-c8t4 · Cited by 2 · see citing works
Wu, H.-Y., Feng, X., & Zhang, J.-L. (2024) · Entropy · doi:10.3390/e26030216 · Cited by 2 · see citing works
Quantum tensor network algorithms for evaluation of spectral functions on quantum computers
Wall, M. L., Reilly, A., Dyke, J. S. V., Broholm, C., & Titum, P. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.214402 · Cited by 2 · see citing works
Application of the Variational Quantum Eigensolver to the Ultimate Pit Problem
Hindy, Y., Pointing, J., Tolunay, M., Venkatarao, S., Motta, M., & Latone, J. A. (2023) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce57702.2023.00083 · Cited by 2 · see citing works
Mineh, L., & Montanaro, A. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.125117 · Cited by 20 · see citing works
Towards Acceptance of Automated Driving Systems
Jamson, S. L., Risvas, K., Naveiro, R., Insua, D. R., Μουστάκας, Κ., Kruszewski, M., Rodak, A., & Barisone, A. (2021) · International Conference on Computer-Human Interaction Research and Applications (CHIRA) · doi:10.5220/0010721300003060 · Cited by 1 · see citing works
Fractal decompositions and tensor network representations of Bethe wavefunctions
Sahu, S., & Vidal, G. (2025) · SciPost Physics Core · doi:10.21468/scipostphyscore.8.4.067 · Cited by 2 · see citing works
Sequential Generation of Two-Dimensional Super-Area-Law States with Local Parent Hamiltonian
Zhang, W. (2025) · PRX Quantum · doi:10.1103/t7py-glgv · Cited by 1 · see citing works
Measurement-Induced Entanglement in Conformal Field Theory
Khanna, K., & Vasseur, R. (2026) · Physical Review Letters · doi:10.1103/b7sb-nhjq · Cited by 1 · see citing works
Qubit recycling and the path-counting problem
Song, Z., & Kim, I. H. (2023) · Physical Review A · doi:10.1103/physreva.108.042416 · Cited by 1 · see citing works
Generating tensor-network states via combination of phonons and qubits in a trapped-ion platform
Tao, S.-J., Zhang, H., Zhang, H., Chen, Z., He, R., Dong, S., Han, Y., Li, C., & Guo, G. (2022) · Physical Review A · doi:10.1103/physreva.106.032403 · Cited by 1 · see citing works
Constructing k-local parent Lindbladians for matrix product density operatorsPreprint
Bondarenko, D. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2110.13134 · Cited by 1 · see citing works
Quantum algorithm for band structures with local tight-binding orbitalsPreprint
Sherbert, K., Jayaraj, A., & Nardelli, M. B. (2022) · Research Square · doi:10.21203/rs.3.rs-1318951/v1 · Cited by 1 · see citing works
Scalable quantum dynamics compilation via quantum machine learning
Zhang, Y., Wiersema, R., Carrasquilla, J., Cincio, Ł., & Kim, Y. B. (2026) · Physical Review Research · doi:10.1103/wswv-nq6d · Cited by 3 · see citing works
Ding, X., & Clark, B. K. (2024) · Physical Review A · doi:10.1103/physreva.110.062403
Scalable quantum simulations of molecular systems via improved optimization of neural quantum states
Zhang, G.-Z., Huang, J.-C., Ye, L., Li, J., & Hu, H. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0269200
Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer
Xu, H., Seki, K., & Yunoki, S. (2025) · Physical Review Research · doi:10.1103/rc6z-837q
Noninvasive mid-circuit measurement and reset on atomic qubits
Chen, Z.-Y., Goetting, I., Toh, G., Yu, Y., Shalaev, M., Saha, S., Kalakuntla, A., Shi, H. B., Monroe, C., Kozhanov, A. E., et al. (2025) · Physical Review A · doi:10.1103/ct8k-jgsn · Cited by 1 · see citing works
Error detection without postselection in adaptive quantum circuits
Chertkov, E., Potter, A. C., Hayes, D., & Foss‐Feig, M. (2026) · Physical Review Research · doi:10.1103/6b14-7wkt
Self-citationTAN, 谭. Y.-Z., WANG, 王. B., & XIONG, 熊. D.-Z. (2025) · Acta Sinica Quantum Optica · doi:10.3788/jqo20253102.0602
Spacetime duality between sequential and measurement-feedback circuits
Lu, T.-C., Gopalakrishnan, S., & You, Y. (2026) · Physical review. B./Physical review. B · doi:10.1103/lh1b-g4w8
- Authors
- Foss-Feig, M., Hayes, D., Dreiling, J. M., Figgatt, C., Gaebler, J. P., Moses, S. A., Pino, J. M., & Potter, A. C.
- Affiliations
- The University of Texas at Austin (US)
- Venue
- Physical Review Research
- Publisher
- American Physical Society (APS)
- Published
- 2021-07-01
- Volume
- 3
- Issue
- 3
- ISSN
- 2643-1564 (ISSN-L)
- OpenAlex
- W3022144696
- Cited by
- 100
- References
- 41
- Citations by year
- 2026: 5 · 2025: 21 · 2024: 15 · 2023: 21 · 2022: 23 · 2021: 15
- FWCI
- 6.54
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Physical Review Research (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (DMR-1653007)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- matrix product states, quantum channels, partial measurements, ground state preparation, entanglement growth, thermalization, antiferromagnetic Heisenberg chain, trapped-ion quantum computer, bond dimension
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