Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges – Nature.com
Keimer, B., Kivelson, S. A., Norman, M. R., Uchida, S. & Zaanen, J. From quantum matter to high-temperature superconductivity in copper oxides. Nature 518, 179186 (2015).
Article ADS CAS PubMed Google Scholar
Abanin, D. A., Altman, E., Bloch, I. & Serbyn, M. Colloquium: Many-body localization, thermalization, and entanglement. Rev. Mod. Phys. 91, 021001 (2019).
Article ADS MathSciNet CAS Google Scholar
Basov, D. N., Averitt, R. D. & Hsieh, D. Towards properties on demand in quantum materials. Nat. Mater. 16, 10771088 (2017).
Article ADS CAS PubMed Google Scholar
Oka, T. & Kitamura, S. Floquet engineering of quantum materials. Ann. Rev. Condens. Matter Phys. 10, 387408 (2019).
Article ADS Google Scholar
Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010).
Ors, R. A practical introduction to tensor networks: Matrix product states and projected entangled pair states. Ann. Phys. 349, 117158 (2014).
Article ADS MathSciNet Google Scholar
Carleo, G. & Troyer, M. Solving the quantum many-body problem with artificial neural networks. Science 355, 602606 (2017).
Article ADS MathSciNet CAS PubMed Google Scholar
Monroe, C. et al. Programmable quantum simulations of spin systems with trapped ions. Rev. Mod. Phys. 93, 025001 (2021).
Article ADS MathSciNet CAS Google Scholar
Eisert, J., Friesdorf, M. & Gogolin, C. Quantum many-body systems out of equilibrium. Nat. Phys. 11, 124130 (2015).
Article CAS Google Scholar
Zhang, J. et al. Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator. Nature 551, 601604 (2017).
Article ADS CAS PubMed PubMed Central Google Scholar
Joshi, L. K. et al. Probing many-body quantum chaos with quantum simulators. Phys. Rev. X 12, 011018 (2022).
CAS Google Scholar
Bernien, H. et al. Probing many-body dynamics on a 51-atom quantum simulator. Nature 551, 579584 (2017).
Article ADS CAS PubMed Google Scholar
Gross, C. & Bloch, I. Quantum simulations with ultracold atoms in optical lattices. Science 357, 9951001 (2017).
Article ADS CAS PubMed Google Scholar
Bloch, I., Dalibard, J. & Nascimbne, S. Quantum simulations with ultracold quantum gases. Nat. Phys. 8, 267276 (2012).
Article CAS Google Scholar
Blatt, R. & Roos, C. F. Quantum simulations with trapped ions. Nat. Phys. 8, 277284 (2012).
Article CAS Google Scholar
Houck, A. A., Treci, H. E. & Koch, J. On-chip quantum simulation with superconducting circuits. Nat. Phys. 8, 292299 (2012).
Article CAS Google Scholar
Aspuru-Guzik, A. & Walther, P. Photonic quantum simulators. Nat. Phys. 8, 285291 (2012).
Article CAS Google Scholar
Semeghini, G. et al. Probing topological spin liquids on a programmable quantum simulator. Science 374, 12421247 (2021).
Article ADS CAS PubMed Google Scholar
Feynman, R. P. Simulating physics with computers. Int. J. Theor. Phys. 21, 467488 (1982).
Article MathSciNet Google Scholar
Lloyd, S. Universal quantum simulators. Science 273, 10731078 (1996).
Article ADS MathSciNet CAS PubMed Google Scholar
Bermejo-Vega, J., Hangleiter, D., Schwarz, M., Raussendorf, R. & Eisert, J. Architectures for quantum simulation showing a quantum speedup. Phys. Rev. X 8, 021010 (2018).
CAS Google Scholar
Henriet, L. et al. Quantum computing with neutral atoms. Quantum 4, 327 (2020).
Article Google Scholar
Graham, T. M. et al. Multi-qubit entanglement and algorithms on a neutral-atom quantum computer. Nature 604, 457462 (2022).
Article ADS CAS PubMed Google Scholar
Bluvstein, D. et al. A quantum processor based on coherent transport of entangled atom arrays. Nature 604, 451456 (2022).
Article ADS CAS PubMed PubMed Central Google Scholar
Bruzewicz, C. D., Chiaverini, J., McConnell, R. & Sage, J. M. Trapped-ion quantum computing: Progress and challenges. Appl. Phys. Rev. 6, 021314 (2019).
Article ADS Google Scholar
Lanyon, B. P. et al. Universal digital quantum simulation with trapped ions. Science 334, 5761 (2011).
Article ADS CAS PubMed Google Scholar
Ospelkaus, C. et al. Microwave quantum logic gates for trapped ions. Nature 476, 181184 (2011).
Article ADS CAS PubMed Google Scholar
Cirac, J. I. & Zoller, P. Quantum computations with cold trapped ions. Phys. Rev. Lett. 74, 40914094 (1995).
Article ADS CAS PubMed Google Scholar
Monroe, C., Meekhof, D. M., King, B. E., Itano, W. M. & Wineland, D. J. Demonstration of a fundamental quantum logic gate. Phys. Rev. Lett. 75, 47144717 (1995).
Article ADS MathSciNet CAS PubMed Google Scholar
Blais, A., Huang, R.-S., Wallraff, A., Girvin, S. M. & Schoelkopf, R. J. Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation. Phys. Rev. A 69, 062320 (2004).
Article ADS Google Scholar
Kjaergaard, M. et al. Superconducting qubits: Current state of play. Ann. Rev. Condens. Matter Phys. 11, 369395 (2020).
Article ADS Google Scholar
Krantz, P. et al. A quantum engineers guide to superconducting qubits. Appl. Phys. Rev. 6, 021318 (2019).
Article ADS Google Scholar
Clarke, J. & Wilhelm, F. K. Superconducting quantum bits. Nature 453, 10311042 (2008).
Article ADS CAS PubMed Google Scholar
Knill, E., Laflamme, R. & Milburn, G. J. A scheme for efficient quantum computation with linear optics. Nature 409, 4652 (2001).
Article ADS CAS PubMed Google Scholar
Flamini, F., Spagnolo, N. & Sciarrino, F. Photonic quantum information processing: a review. Rep. Prog. Phys. 82, 016001 (2018).
Article ADS PubMed Google Scholar
Raussendorf, R. & Briegel, H. J. A one-way quantum computer. Phys. Rev. Lett. 86, 51885191 (2001).
Article ADS CAS PubMed Google Scholar
Raussendorf, R., Harrington, J. & Goyal, K. A fault-tolerant one-way quantum computer. Ann. Phys. 321, 22422270 (2006).
Article ADS MathSciNet CAS Google Scholar
Barz, S. Quantum computing with photons: introduction to the circuit model, the one-way quantum computer, and the fundamental principles of photonic experiments. J. Phys. B: At. Mol. Opt. Phys. 48, 083001 (2015).
Article ADS Google Scholar
Bradley, C. E. et al. A ten-qubit solid-state spin register with quantum memory up to one minute. Phys. Rev. X 9, 031045 (2019).
CAS Google Scholar
West, A. et al. Gate-based single-shot readout of spins in silicon. Nat. Nanotechnol. 14, 437441 (2019).
Article ADS CAS PubMed Google Scholar
Yang, C. H. et al. Silicon qubit fidelities approaching incoherent noise limits via pulse engineering. Nat. Electron. 2, 151158 (2019).
Article Google Scholar
Wang, X. et al. Experimental realization of an extended fermi-Hubbard model using a 2d lattice of dopant-based quantum dots. Nat. Commun. 13, 6824 (2022).
Article ADS CAS PubMed PubMed Central Google Scholar
Wang, C.-A. et al. Probing resonating valence bonds on a programmable germanium quantum simulator. npj Quant. Inf. 9, 58 (2023).
Article ADS Google Scholar
van Diepen, C. J. et al. Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots. Phys. Rev. X 11, 041025 (2021).
Google Scholar
Kiczynski, M. et al. Engineering topological states in atom-based semiconductor quantum dots. Nature 606, 694699 (2022).
Article ADS CAS PubMed PubMed Central Google Scholar
Klimov, A. B., Guzmn, R., Retamal, J. C. & Saavedra, C. Qutrit quantum computer with trapped ions. Phys. Rev. A 67, 062313 (2003).
Article ADS Google Scholar
Ringbauer, M. et al. A universal qudit quantum processor with trapped ions. Nat. Phys. 18, 10531057 (2022).
Article CAS Google Scholar
Chi, Y. et al. A programmable qudit-based quantum processor. Nat. Commun. 13, 1166 (2022).
Article ADS CAS PubMed PubMed Central Google Scholar
Neeley, M. et al. Emulation of a quantum spin with a superconducting phase qudit. Science 325, 722725 (2009).
Article ADS CAS PubMed Google Scholar
Morvan, A. et al. Qutrit randomized benchmarking. Phys. Rev. Lett. 126, 210504 (2021).
Article ADS CAS PubMed Google Scholar
Zhu, D. et al. Cross-platform comparison of arbitrary quantum states. Nat. Commun. 13, 6620 (2022).
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Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges - Nature.com
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