Journal
NPJ QUANTUM INFORMATION
Volume 6, Issue 1, Pages -Publisher
NATURE RESEARCH
DOI: 10.1038/s41534-020-00302-0
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Funding
- U.S. Department of Energy (DOE) through a quantum computing program - LANL Information Science & Technology Institute
- EPSRC National Quantum Technology Hub in Networked Quantum Information Technologies
- EPSRC Centre for Doctoral Training in Controlled Quantum Dynamics
- U.S. DOE through the J. Robert Oppenheimer fellowship
- DOE, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division, Condensed Matter Theory Program
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Trotterization-based, iterative approaches to quantum simulation (QS) are restricted to simulation times less than the coherence time of the quantum computer (QC), which limits their utility in the near term. Here, we present a hybrid quantum-classical algorithm, called variational fast forwarding (VFF), for decreasing the quantum circuit depth of QSs. VFF seeks an approximate diagonalization of a short-time simulation to enable longer-time simulations using a constant number of gates. Our error analysis provides two results: (1) the simulation error of VFF scales at worst linearly in the fast-forwarded simulation time, and (2) our cost function's operational meaning as an upper bound on average-case simulation error provides a natural termination condition for VFF. We implement VFF for the Hubbard, Ising, and Heisenberg models on a simulator. In addition, we implement VFF on Rigetti's QC to demonstrate simulation beyond the coherence time. Finally, we show how to estimate energy eigenvalues using VFF.
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