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- W4387162531 abstract "The hybrid tensor network (HTN) method is a general framework allowing for constructing an effective wavefunction with the combination of classical tensors and quantum tensors, i.e., amplitudes of quantum states. In particular, hybrid tree tensor networks are significantly useful for the simulation of larger systems beyond the available size of quantum hardware. However, while the realistic quantum states in NISQ hardware are highly likely to be noisy, this framework is formulated for pure states. In this work, as well as discussing the relevant methods, i.e., Deep VQE and entanglement forging under the framework of hybrid tree tensor networks, we investigate the noisy HTN states during contractions by introducing the expansion matrix for providing the description of the expansion of the size of simulated quantum systems and the noise propagation. This framework allows for the explicit representation of the general tree HTN states and discussion of their physicality. We also show that the expectation value of a measured observable exponentially vanishes with the number of contracted quantum tensors. Our work will lead to providing the noise-resilient construction of HTN states." @default.
- W4387162531 created "2023-09-30" @default.
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- W4387162531 date "2023-09-27" @default.
- W4387162531 modified "2023-10-13" @default.
- W4387162531 title "Noise propagation in hybrid tensor networks" @default.
- W4387162531 doi "https://doi.org/10.48550/arxiv.2309.15761" @default.
- W4387162531 hasPublicationYear "2023" @default.
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