Probing critical states of matter on a digital quantum computer
| Autor: | Haghshenas, Reza, Chertkov, Eli, DeCross, Matthew, Gatterman, Thomas M., Gerber, Justin A., Gilmore, Kevin, Gresh, Dan, Hewitt, Nathan, Horst, Chandler V., Matheny, Mitchell, Mengle, Tanner, Neyenhuis, Brian, Hayes, David, Foss-Feig, Michael |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Although quantum mechanics underpins the microscopic behavior of all materials, its effects are often obscured at the macroscopic level by thermal fluctuations. A notable exception is a zero-temperature phase transition, where scaling laws emerge entirely due to quantum correlations over a diverging length scale. The accurate description of such transitions is challenging for classical simulation methods of quantum systems, and is a natural application space for quantum simulation. These quantum simulations are, however, not without their own challenges \textemdash~representing quantum critical states on a quantum computer requires encoding entanglement of a large number of degrees of freedom, placing strict demands on the coherence and fidelity of the computer's operations. Using Quantinuum's H1-1 quantum computer, we address these challenges by employing hierarchical quantum tensor-network techniques, creating the ground state of the critical transverse-field Ising chain on 128-sites with sufficient fidelity to extract accurate critical properties of the model. Our results suggest a viable path to quantum-assisted tensor network contraction beyond the limits of classical methods. Comment: 8 pages, 6 figures |
| Databáze: | arXiv |
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