Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385681505> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4385681505 abstract "We perform classical simulations of the 127-qubit kicked Ising model, which was recently emulated using a quantum circuit with error mitigation [Nature 618, 500 (2023)]. Our approach is based on the projected entangled pair operator (PEPO) in the Heisenberg picture. Its main feature is the ability to automatically identify the underlying low-rank and low-entanglement structures in the quantum circuit involving Clifford and near-Clifford gates. We assess our approach using the quantum circuit with 5+1 trotter steps which was previously considered beyond classical verification. We develop a Clifford expansion theory to compute exact expectation values and use them to evaluate algorithms. The results indicate that PEPO significantly outperforms existing methods, including the tensor network with belief propagation, the matrix product operator, and the Clifford perturbation theory, in both efficiency and accuracy. In particular, PEPO with bond dimension $chi=2$ already gives similar accuracy to the CPT with $K=10$ and MPO with bond dimension $chi=1024$. And PEPO with $chi=184$ provides exact results in $3$ seconds using a single CPU. Furthermore, we apply our method to the circuit with 20 Trotter steps. We observe the monotonic and consistent convergence of the results with $chi$, allowing us to estimate the outcome with $chitoinfty$ through extrapolations. We then compare the extrapolated results to those achieved in quantum hardware and with existing tensor network methods. Additionally, we discuss the potential usefulness of our approach in simulating quantum circuits, especially in scenarios involving near-Clifford circuits and quantum approximate optimization algorithms. Our approach is the first use of PEPO in solving the time evolution problem, and our results suggest it could be a powerful tool for exploring the dynamical properties of quantum many-body systems." @default.
- W4385681505 created "2023-08-09" @default.
- W4385681505 creator A5006915351 @default.
- W4385681505 creator A5009103156 @default.
- W4385681505 creator A5018412869 @default.
- W4385681505 creator A5030654065 @default.
- W4385681505 creator A5055329626 @default.
- W4385681505 date "2023-08-06" @default.
- W4385681505 modified "2023-10-17" @default.
- W4385681505 title "Simulation of IBM's kicked Ising experiment with Projected Entangled Pair Operator" @default.
- W4385681505 doi "https://doi.org/10.48550/arxiv.2308.03082" @default.
- W4385681505 hasPublicationYear "2023" @default.
- W4385681505 type Work @default.
- W4385681505 citedByCount "0" @default.
- W4385681505 crossrefType "posted-content" @default.
- W4385681505 hasAuthorship W4385681505A5006915351 @default.
- W4385681505 hasAuthorship W4385681505A5009103156 @default.
- W4385681505 hasAuthorship W4385681505A5018412869 @default.
- W4385681505 hasAuthorship W4385681505A5030654065 @default.
- W4385681505 hasAuthorship W4385681505A5055329626 @default.
- W4385681505 hasBestOaLocation W43856815051 @default.
- W4385681505 hasConcept C104317684 @default.
- W4385681505 hasConcept C11413529 @default.
- W4385681505 hasConcept C121040770 @default.
- W4385681505 hasConcept C121332964 @default.
- W4385681505 hasConcept C158448853 @default.
- W4385681505 hasConcept C17020691 @default.
- W4385681505 hasConcept C185592680 @default.
- W4385681505 hasConcept C202444582 @default.
- W4385681505 hasConcept C203087015 @default.
- W4385681505 hasConcept C28826006 @default.
- W4385681505 hasConcept C33676613 @default.
- W4385681505 hasConcept C33923547 @default.
- W4385681505 hasConcept C41008148 @default.
- W4385681505 hasConcept C55493867 @default.
- W4385681505 hasConcept C58053490 @default.
- W4385681505 hasConcept C62520636 @default.
- W4385681505 hasConcept C84114770 @default.
- W4385681505 hasConcept C86339819 @default.
- W4385681505 hasConceptScore W4385681505C104317684 @default.
- W4385681505 hasConceptScore W4385681505C11413529 @default.
- W4385681505 hasConceptScore W4385681505C121040770 @default.
- W4385681505 hasConceptScore W4385681505C121332964 @default.
- W4385681505 hasConceptScore W4385681505C158448853 @default.
- W4385681505 hasConceptScore W4385681505C17020691 @default.
- W4385681505 hasConceptScore W4385681505C185592680 @default.
- W4385681505 hasConceptScore W4385681505C202444582 @default.
- W4385681505 hasConceptScore W4385681505C203087015 @default.
- W4385681505 hasConceptScore W4385681505C28826006 @default.
- W4385681505 hasConceptScore W4385681505C33676613 @default.
- W4385681505 hasConceptScore W4385681505C33923547 @default.
- W4385681505 hasConceptScore W4385681505C41008148 @default.
- W4385681505 hasConceptScore W4385681505C55493867 @default.
- W4385681505 hasConceptScore W4385681505C58053490 @default.
- W4385681505 hasConceptScore W4385681505C62520636 @default.
- W4385681505 hasConceptScore W4385681505C84114770 @default.
- W4385681505 hasConceptScore W4385681505C86339819 @default.
- W4385681505 hasLocation W43856815051 @default.
- W4385681505 hasOpenAccess W4385681505 @default.
- W4385681505 hasPrimaryLocation W43856815051 @default.
- W4385681505 hasRelatedWork W1569195499 @default.
- W4385681505 hasRelatedWork W2016655820 @default.
- W4385681505 hasRelatedWork W2248510402 @default.
- W4385681505 hasRelatedWork W2730683669 @default.
- W4385681505 hasRelatedWork W2734840248 @default.
- W4385681505 hasRelatedWork W2796058935 @default.
- W4385681505 hasRelatedWork W3160757040 @default.
- W4385681505 hasRelatedWork W3208024465 @default.
- W4385681505 hasRelatedWork W4313815727 @default.
- W4385681505 hasRelatedWork W4379381687 @default.
- W4385681505 isParatext "false" @default.
- W4385681505 isRetracted "false" @default.
- W4385681505 workType "article" @default.