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UID:submissions.supercomputing.org_SC20_sess181_pap437@linklings.com
SUMMARY:Efficient 2D Tensor Network Simulation of Quantum Systems
DESCRIPTION:Paper\n\nEfficient 2D Tensor Network Simulation of Quantum Sys
 tems\n\nPang, Hao, Dugad, Zhou, Solomonik\n\nSimulation of quantum systems
  is challenging due to the exponential size of the state space. Tensor net
 works provide a systematically improvable approximation for quantum states
 . 2D tensor networks such as Projected Entangled Pair States (PEPS) are we
 ll-suited for key classes of physical systems and quantum circuits.\nDirec
 t contraction of PEPS networks, however, has exponential cost, while appro
 ximate algorithms require computations with large tensors. We propose new 
 scalable algorithms and software abstractions for PEPS-based methods, acce
 lerating the bottleneck operation of contraction and refactorization of a 
 tensor subnetwork. We employ randomized SVD with an implicit matrix to red
 uce cost and memory footprint asymptotically. Further, we develop a distri
 buted-memory PEPS library and study accuracy and efficiency of alternative
  algorithms for PEPS contraction and evolution on the Stampede2 supercompu
 ter. We also simulate a popular near-term quantum algorithm, the Variation
 al Quantum Eigensolver (VQE), and benchmark Imaginary Time Evolution (ITE)
 , which compute ground states of Hamiltonians.\n\nTag: Quantum Computing, 
 Simulation\n\nRegistration Category: Tech Program Reg Pass
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