Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians
Authors:
- Jeongwan HaahJHJeongwan Haah
- Matthew B. HastingsMHMatthew B. Hastings
- Robin KothariRKRobin Kothari
- Guang Hao LowGLGuang Hao Low
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- 12 January 2021
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Computing
- Vol. 52 (6) , FOCS18-250
Abstract
We study the problem of simulating the time evolution of a lattice Hamiltonian, where the qubits are laid out on a lattice and the Hamiltonian only includes geometrically local interactions (i.e., ...Keywords
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This publication has 32 references indexed in Scilit:
- Fast universal quantum computation with railroad-switch local HamiltoniansJournal of Mathematical Physics, 2010
- Efficient Approximation of the Dynamics of One-Dimensional Quantum Spin SystemsPhysical Review Letters, 2006
- Mapping local Hamiltonians of fermions to local Hamiltonians of spinsJournal of Statistical Mechanics: Theory and Experiment, 2005
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum ComputerSIAM Journal on Computing, 1997
- Universal Quantum SimulatorsScience, 1996
- Elementary gates for quantum computationPhysical Review A, 1995
- Quantum Mechanical ComputersOptics News, 1985
- Hamiltonian formulation of Wilson's lattice gauge theoriesPhysical Review D, 1975
- The finite group velocity of quantum spin systemsCommunications in Mathematical Physics, 1972
- On the product of semi-groups of operatorsProceedings of the American Mathematical Society, 1959