Entanglement as a resource in adiabatic quantum optimization

Bela Bauer; Lei Wang; Iztok Pižorn; Matthias Troyer

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arXiv · 1501.06914

Entanglement as a resource in adiabatic quantum optimization

Bela Bauer·Lei Wang·Iztok Pižorn·Matthias Troyer

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Abstract

We explore the role of entanglement in adiabatic quantum optimization by performing approximate simulations of the real-time evolution of a quantum system while limiting the amount of entanglement. To classically simulate the time evolution of the system with a limited amount of entanglement, we represent the quantum state using matrix-product states and projected entangled-pair states. We show that the probability of finding the ground state of an Ising spin glass on either a planar or non-planar two-dimensional graph increases rapidly as the amount of entanglement in the state is increased. Furthermore, we propose evolution in complex time as a way to improve simulated adiabatic evolution and mimic the effects of thermal cooling of the quantum annealer.

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Bela Bauer, Lei Wang, Iztok Pižorn, Matthias Troyer. 2015-01-27. Entanglement as a resource in adiabatic quantum optimization. https://arxiv.org/abs/1501.06914

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