Journal
PHYSICAL REVIEW A
Volume 101, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.101.010301
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Funding
- Networked Quantum Information Technologies Hub of the UK National Quantum Technology Programme
- EPSRC grant Tensor network theory for strongly correlated quantum systems [EP/K038311/1]
- EPSRC National Quantum Technology Hub in Networked Quantum Information Technology [EP/M013243/1]
- National Research Foundation
- Ministry of Education, Singapore
- EPSRC [EP/M013243/1, EP/K038311/1] Funding Source: UKRI
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We show that nonlinear problems including nonlinear partial differential equations can be efficiently solved by variational quantum computing. We achieve this by utilizing multiple copies of variational quantum states to treat nonlinearities efficiently and by introducing tensor networks as a programming paradigm. The key concepts of the algorithm are demonstrated for the nonlinear Schrodinger equation as a canonical example. We numerically show that the variational quantum ansatz can be exponentially more efficient than matrix product states and present experimental proof-of-principle results obtained on an IBM Q device.
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