4.7 Article

Noise-robust exploration of many-body quantum states on near-term quantum devices

Journal

NPJ QUANTUM INFORMATION
Volume 7, Issue 1, Pages -

Publisher

NATURE PORTFOLIO
DOI: 10.1038/s41534-021-00363-9

Keywords

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Funding

  1. VILLUM FONDEN via the QMATH Centre of Excellence [10059]
  2. European Research Council (ERC Grant) [337603]
  3. QuantERA ERA-NET Cofund in Quantum Technologies implemented within the European Union's Horizon 2020 Programme (QuantAlgo project) via the Innovation Fund Denmark
  4. NWO Gravitation Program Quantum Software Consortium
  5. European Research Council (ERC) [337603] Funding Source: European Research Council (ERC)

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The study presents a resource-efficient approach for studying many-body quantum states on noisy, intermediate-scale quantum devices, reducing circuit size and qubit count needed for computation while decreasing the impact of noise. It can be applied to a wide range of tensor network states and directly used in near-term implementations of variational quantum algorithms.
We describe a resource-efficient approach to studying many-body quantum states on noisy, intermediate-scale quantum devices. We employ a sequential generation model that allows us to bound the range of correlations in the resulting many-body quantum states. From this, we characterize situations where the estimation of local observables does not require the preparation of the entire state. Instead smaller patches of the state can be generated from which the observables can be estimated. This can potentially reduce circuit size and number of qubits for the computation of physical properties of the states. Moreover, we show that the effect of noise decreases along the computation. Our results apply to a broad class of widely studied tensor network states and can be directly applied to near-term implementations of variational quantum algorithms.

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