Noise-resilient preparation of quantum many-body ground states

Abstract

Certain quantum many-body ground states can be prepared by a large-depth quantum circuit consisting of geometrically local gates. In the presence of noise, local expectation values deviate from the correct value at most by an amount comparable to the noise rate. This happens if the action of the noiseless circuit, restricted to certain subsystems, rapidly mixes local observables up to a small correction. The encoding circuit for the surface code is given as an example.

arXiv comment23 pages, 10 figures

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Cited by in corpus (7)

• Quantum Computing in the NISQ era and beyond
• The Variational Quantum Eigensolver: a review of methods and best practices
• Efficient classical simulation of random shallow 2D quantum circuits
• Boundaries of quantum supremacy via random circuit sampling
• Quantum Computing: An Overview Across the System Stack
• Noise reduction using past causal cones in variational quantum algorithms
• Experimental pairwise entanglement estimation for an N-qubit system :A machine learning approach for programming quantum hardware