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The mapping of fermionic states onto qubit states, as well as the mapping of fermionic Hamiltonian into quantum gates enables us to simulate electronic systems with a quantum computer.
Über das Paulische Äquivalenzverbot
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Mapping local Hamiltonians of fermions to local Hamiltonians of spins
Frank Verstraete and J Ignacio Cirac · 2005
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Constant weight codes: a geometric approach based on dissections
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Towards quantum chemistry on a quantum computer
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Nmr implementation of a molecular hydrogen quantum simulation with adiabatic state preparation
Jiangfeng Du, Nanyang Xu, Xinhua Peng, Pengfei Wang, Sanfeng Wu, and Dawei Lu · 2010
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Simulating Hamiltonian dynamics with a truncated Taylor series
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2015
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Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W Berry, Andrew M Childs, and Robin Kothari · 2015
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Scalable quantum simulation of molecular energies
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