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20142026
most citedA Theory of Trotter Error

486 citations · 1.5k across the 31 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

quant-ph2019★ 41 cited

Destructive Error Interference in Product-Formula Lattice Simulation

Minh C. Tran, Su-Kuan Chu, Yuan Su +2

Quantum computers can efficiently simulate the dynamics of quantum systems. In this paper, we study the cost of digitally simulating the dynamics of several physically relevant sys…

quant-ph2019★ 486 cited

A Theory of Trotter Error

Andrew M. Childs, Yuan Su, Minh C. Tran +2

The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators. Despite significant effort…

quant-ph2019★ 26 cited

Locality and Heating in Periodically Driven, Power-law Interacting Systems

Minh C. Tran, Adam Ehrenberg, Andrew Y. Guo +3

We study the heating time in periodically driven -dimensional systems with interactions that decay with the distance as a power-law . Using linear response theory, we…

quant-ph2019★ 49 cited

Signaling and Scrambling with Strongly Long-Range Interactions

Andrew Y. Guo, Minh C. Tran, Andrew M. Childs +2

Strongly long-range interacting quantum systems---those with interactions decaying as a power-law in the distance on a -dimensional lattice for ---have recei…

quant-ph2019★ 20 cited

Complexity phase diagram for interacting and long-range bosonic Hamiltonians

Nishad Maskara, Abhinav Deshpande, Adam Ehrenberg +3

We classify phases of a bosonic lattice model based on the computational complexity of classically simulating the system. We show that the system transitions from being classically…