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20002026
most citedSimulating Hamiltonian dynamics with a truncated Taylor series

779 citations · 8k across the 90 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

quant-ph2019★ 80 cited

-Corrected Heisenberg Limit

Wojciech Gorecki, Rafal Demkowicz-Dobrzanski, Howard M. Wiseman +1

We consider the precision with which the parameter , appearing in the unitary map acting on some type of probe system, can be estimated when there is a fin…

quant-ph2019★ 107 cited

Time-dependent Hamiltonian simulation with -norm scaling

Dominic W. Berry, Andrew M. Childs, Yuan Su +2

The difficulty of simulating quantum dynamics depends on the norm of the Hamiltonian. When the Hamiltonian varies with time, the simulation complexity should only depend on this qu…

quant-ph2019★ 8 cited

Photonic quantum data locking

Zixin Huang, Peter P. Rohde, Dominic W. Berry +3

Quantum data locking is a quantum phenomenon that allows us to encrypt a long message with a small secret key with information-theoretic security. This is in sharp contrast with cl…

quant-ph2019★ 167 cited

Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization

Ian D. Kivlichan, Craig Gidney, Dominic W. Berry +9

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of fault-tolerant quantum simulations of correlated electron models. Here, we show that one…

quant-ph2019★ 219 cited

Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization

Dominic W. Berry, Craig Gidney, Mario Motta +2

Recent work has dramatically reduced the gate complexity required to quantum simulate chemistry by using linear combinations of unitaries based methods to exploit structure in the…