2021
DOI: 10.48550/arxiv.2109.05340
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Avoiding symmetry roadblocks and minimizing the measurement overhead of adaptive variational quantum eigensolvers

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Cited by 7 publications
(10 citation statements)
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“…This reduces N p of the Hamiltonian commutator (HC) pool from 56 to 16 for the e g model, and from 192 to 60 for the t 2g model, due to a large degeneracy. Furthermore, some qualitative guidance has been laid out in the literature to construct a minimal complete pool (MCP) of size 2(N q − 1) [16,60], where N q is the number of qubits. Indeed, we find that a MCP can be constructed using a subset of operators in HC pool.…”
Section: Discussion Of Optimal Pool Sizementioning
confidence: 99%
See 1 more Smart Citation
“…This reduces N p of the Hamiltonian commutator (HC) pool from 56 to 16 for the e g model, and from 192 to 60 for the t 2g model, due to a large degeneracy. Furthermore, some qualitative guidance has been laid out in the literature to construct a minimal complete pool (MCP) of size 2(N q − 1) [16,60], where N q is the number of qubits. Indeed, we find that a MCP can be constructed using a subset of operators in HC pool.…”
Section: Discussion Of Optimal Pool Sizementioning
confidence: 99%
“…It is pointed out that a minimal complete pool, as defined in Ref. [16,60], can be constructed using a subset of the HC pool. While a simplified pool can reduce the quantum computation resource in the adaptive operator screening procedure, it can make the classical optimization more complicated, especially in the presence of noise.…”
Section: Discussionmentioning
confidence: 99%
“…To maximize the resource savings offered by utilizing the parameter-shift rule, as well as to reduce final circuit complexity, we choose a pool consisting of all 1-and 2qubit Pauli strings acting on our combined data/ancilla system. Such a pool is clearly "complete" in that it suffices to construct any unitary on the full data/ancilla system given enough layers, though more compact complete pools have been shown to exist for any number of qubits [27,34].…”
Section: Adapt-vqe-gibbs Algorithmmentioning
confidence: 99%
“…To this end, an Adaptive Derivative-Assembled Problem-Tailored (ADAPT) protocol has been developed [13,16,17]. First proposed to find the ground state energies of molecules, the ADAPT protocol constructs the ansatz iteratively, leading to a shallow quantum circuit and fast convergence.…”
Section: Introductionmentioning
confidence: 99%