activity
20142026
most citedA Theory of Trotter Error

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

collaborators

31 papers

quant-ph2026

Observable Estimation in the Absence of Classical Verification

Samantha V. Barron, Bradley Mitchell, Vinay Tripathi +45

The predictive success of quantum mechanics underpins many areas of modern science, even as the exact simulation of large, interacting quantum systems remains beyond the reach of c…

quant-ph2026

ffsim: Faster simulation of fermionic quantum circuits

Kevin J. Sung, Inho Choi, Mirko Amico +14

We present ffsim, an open-source software library for fast simulation of fermionic quantum circuits. ffsim exploits conservation of particle number and the z component of spin, sym…

quant-ph2023★ 1 cited

Improved Digital Quantum Simulation by Non-Unitary Channels

W. Gong, Yaroslav Kharkov, Minh C. Tran +2

Simulating quantum systems is one of the most promising avenues to harness the computational power of quantum computers. However, hardware errors in noisy near-term devices remain…

quant-ph2023★ 5 cited

Locality and Error Mitigation of Quantum Circuits

Minh C. Tran, Kunal Sharma, Kristan Temme

In this work, we study and improve two leading error mitigation techniques, namely Probabilistic Error Cancellation (PEC) and Zero-Noise Extrapolation (ZNE), for estimating the exp…

quant-ph2023★ 6 cited

Error Correction of Quantum Algorithms: Arbitrarily Accurate Recovery Of Noisy Quantum Signal Processing

Andrew K. Tan, Yuan Liu, Minh C. Tran +1

The intrinsic probabilistic nature of quantum systems makes error correction or mitigation indispensable for quantum computation. While current error-correcting strategies focus on…

quant-ph2022★ 47 cited

Measuring Arbitrary Physical Properties in Analog Quantum Simulation

Minh C. Tran, Daniel K. Mark, Wen Wei Ho +1

A central challenge in analog quantum simulation is to characterize desirable physical properties of quantum states produced in experiments. However, in conventional approaches, th…

quant-ph2022★ 31 cited

On the complexity of implementing Trotter steps

Guang Hao Low, Yuan Su, Yu Tong +1

Quantum dynamics can be simulated on a quantum computer by exponentiating elementary terms from the Hamiltonian in a sequential manner. However, such an implementation of Trotter s…

quant-ph2022★ 23 cited

Enhancing Detection of Topological Order by Local Error Correction

Iris Cong, Nishad Maskara, Minh C. Tran +5

The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing phy…

quant-ph2021★ 135 cited

Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions

Nhung H. Nguyen, Minh C. Tran, Yingyue Zhu +4

Tracking the dynamics of physical systems in real time is a prime application of digital quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-t…

quant-ph2021

Clustering of steady-state correlations in open systems with long-range interactions

Andrew Y. Guo, Simon Lieu, Minh C. Tran +1

Lieb-Robinson bounds are powerful analytical tools for constraining the dynamic and static properties of non-relativistic quantum systems. Recently, a complete picture for closed s…

quant-ph2021★ 53 cited

Shadow process tomography of quantum channels

Jonathan Kunjummen, Minh C. Tran, Daniel Carney +1

Quantum process tomography is a critical capability for building quantum computers, enabling quantum networks, and understanding quantum sensors. Like quantum state tomography, the…

quant-ph2021★ 91 cited

The Lieb-Robinson light cone for power-law interactions

Minh C. Tran, Andrew Y. Guo, Christopher L. Baldwin +3

The Lieb-Robinson theorem states that information propagates with a finite velocity in quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits on…

quant-ph2020★ 39 cited

Optimal State Transfer and Entanglement Generation in Power-law Interacting Systems

Minh C. Tran, Abhinav Deshpande, Andrew Y. Guo +2

We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in l…

quant-ph2020★ 82 cited

Faster Digital Quantum Simulation by Symmetry Protection

Minh C. Tran, Yuan Su, Daniel Carney +1

Simulating the dynamics of quantum systems is an important application of quantum computers and has seen a variety of implementations on current hardware. We show that by introduci…

quant-ph2020★ 92 cited

Hierarchy of linear light cones with long-range interactions

Minh C. Tran, Chi-Fang Chen, Adam Ehrenberg +6

In quantum many-body systems with local interactions, quantum information and entanglement cannot spread outside of a linear light cone, which expands at an emergent velocity analo…

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…

quant-ph2018★ 78 cited

Locality and digital quantum simulation of power-law interactions

Minh C. Tran, Andrew Y. Guo, Yuan Su +5

The propagation of information in non-relativistic quantum systems obeys a speed limit known as a Lieb-Robinson bound. We derive a new Lieb-Robinson bound for systems with interact…

quant-ph2018★ 8 cited

Blind quantum computation using the central spin Hamiltonian

Minh Cong Tran, Jacob M. Taylor

Blindness is a desirable feature in delegated computation. In the classical setting, blind computations protect the data or even the program run by a server. In the quantum regime,…

quant-ph2018★ 13 cited

Bell monogamy relations in arbitrary qubit networks

Minh Cong Tran, Ravishankar Ramanathan, Matthew McKague +2

Characterizing trade-offs between simultaneous violations of multiple Bell inequalities in a large network of qubits is computationally demanding. We propose a graph-theoretic appr…

quant-ph2017

Quantum simulation of ferromagnetic Heisenberg model

Yiping Wang, Minh Cong Tran, Jacob M. Taylor

Large quantum simulators, with sufficiently many qubits to be impossible to simulate classically, become hard to experimentally validate. We propose two tests of a quantum simulato…