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X-ORIGINAL-URL:https://iqus.uw.edu/
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UID:MEC-2a34abd6ebbd7fcf5a4421229c946c0a@iqus.uw.edu
DTSTART:20240131T213000Z
DTEND:20240131T223000Z
DTSTAMP:20240110T173100Z
CREATED:20240110
LAST-MODIFIED:20240128
SUMMARY:Variational quantum algorithm for quantum matter using Trotterized entanglement renormalization
DESCRIPTION:\nThomas Barthel, Duke University\nI will describe a variational quantum eigensolver for the simulation of strongly-correlated quantum matter based on a multi-scale entanglement renormalization ansatz (MERA) and gradient-based optimization. Due to its narrow causal cone, the algorithm can be implemented on noisy intermediate-scale (NISQ) devices and still describe large systems. The number of required qubits is system-size independent and increases only to a logarithmic scaling when using quantum amplitude estimation to speed up gradient evaluations. Translation invariance can be used to make computation costs square-logarithmic in the system size and describe the thermodynamic limit. For the practical implementation, the MERA disentanglers and isometries are Trotterized, i.e., implemented as brickwall circuits. With a few Trotter steps, one recovers the accuracy of the full MERA. Results of benchmark simulations for various critical spin models establish a quantum advantage, and I will report on first experimental tests on ion-trap devices. For systems with finite-range interactions, one can also show that the variational energy optimization of isometric tensor networks like MPS, TTNS, and MERA is free of barren plateaus.\nReferences:\n\narXiv:2108.13401 – Q. Miao and T. Barthel, “A quantum-classical eigensolver using multiscale entanglement renormalization”\narXiv:2303.08910 – Q. Miao and T. Barthel, “Convergence and quantum advantage of Trotterized MERA for strongly-correlated systems”\narXiv:2304.00161 – T. Barthel and Q. Miao, “Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states”\narXiv:2304.14320 – Q. Miao and T. Barthel, “Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus”\n\n
URL:https://iqus.uw.edu/events/thomas-barthel/
ORGANIZER;CN=Niklas Mueller:MAILTO:niklasmu@uw.edu
CATEGORIES:Seminars
LOCATION:UW, 15th and Pacific, Seattle
ATTACH;FMTTYPE=image/jpeg:https://iqus.uw.edu/wp-content/uploads/2024/01/ThomasBarthel.jpeg
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