Affiliation:
1. Harvard University
2. Perimeter Institute
3. University of California, Santa Barbara
Abstract
We provide an efficient and general route for preparing non-trivial
quantum states that are not adiabatically connected to unentangled
product states. Our approach is a hybrid quantum-classical variational
protocol that incorporates a feedback loop between a quantum simulator
and a classical computer, and is experimentally realizable on near-term
quantum devices of synthetic quantum systems. We find explicit protocols
which prepare with perfect fidelities (i) the
Greenberger-Horne-Zeilinger (GHZ) state, (ii) a quantum critical state,
and (iii) a topologically ordered state, with
\bm{L}𝐋
variational parameters and physical runtimes
\bm{T}𝐓
that scale linearly with the system size \bm{L}𝐋.
We furthermore conjecture and support numerically that our protocol can
prepare, with perfect fidelity and similar operational costs, the ground
state of every point in the one dimensional transverse field Ising model
phase diagram. Besides being practically useful, our results also
illustrate the utility of such variational Ansätze as good descriptions
of non-trivial states of matter.
Funder
Gordon and Betty Moore Foundation
Subject
General Physics and Astronomy
Cited by
90 articles.
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