Hardware-efficient variational quantum algorithms for time evolution
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Cites methods from "Hardware-efficient variational quan..."
...To alleviate this issue, new variational methods based on partial, local optimisations of the variational parameters have been recently proposed [43, 44, 45]....
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References
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139,059 citations
"Hardware-efficient variational quan..." refers methods in this paper
...Promising alternatives are variational hybrid quantum-classical algorithms [13, 14] and variational quantum simulation [15, 16]....
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8,608 citations
"Hardware-efficient variational quan..." refers background in this paper
...Matrix inversion is numerically unstable when the condition number of the matrix is large and small errors in the matrix can become large errors in the matrix inverse [57]....
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3,114 citations
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"Hardware-efficient variational quan..." refers background in this paper
...Although significant progress has been made based on the original quantum algorithm for simulating time evolution [2], this algorithm faces obstacles on current quantum hardware which lacks quantum error correction [10–12]....
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...[2] Seth Lloyd, “Universal quantum simulators,” Science 273, 1073–1078 (1996)....
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2,348 citations
"Hardware-efficient variational quan..." refers methods in this paper
...In this work, we call hardware-efficient any variational quantum algorithm that (i) can use parameterized quantum circuits tailored to the physical device [42] or (ii) exploits other concepts that reduce the number of qubits or gates [43, 44] such as causal cones....
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