Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression

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2022
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Berthusen, Noah
Trevisan, Thaís
Iadecola, Thomas
Orth, Peter
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arXiv
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Orth, Peter
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Physics and Astronomy
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Ames Laboratory
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Physics and AstronomyAmes Laboratory
Abstract
We demonstrate a post-quench dynamics simulation of a Heisenberg model on present-day IBM quantum hardware that extends beyond the coherence time of the device. This is achieved using a hybrid quantum-classical algorithm that propagates a state using Trotter evolution and then performs a classical optimization that effectively compresses the time-evolved state into a variational form. When iterated, this procedure enables simulations to arbitrary times with an error controlled by the compression fidelity and a fixed Trotter step size. We show how to measure the required cost function, the overlap between the time-evolved and variational states, on present-day hardware, making use of several error mitigation methods. In addition to carrying out simulations on real hardware, we investigate the performance and scaling behavior of the algorithm with noiseless and noisy classical simulations. We find the main bottleneck in going to larger system sizes to be the difficulty of carrying out the optimization of the noisy cost function.
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This is a pre-print of the article Berthusen, Noah F., Thaís V. Trevisan, Thomas Iadecola, and Peter P. Orth. "Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression." arXiv preprint arXiv:2112.12654 (2021). DOI: 10.48550/arXiv.2112.12654. Copyright 2022 The Authors. Posted with permission.
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