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quant-ph2018★ 4 cited
Homological Description of the Quantum Adiabatic Evolution With a View Toward Quantum Computations
Raouf Dridi, Hedayat Alghassi, Sridhar Tayur
We import the tools of Morse theory to study quantum adiabatic evolution, the core mechanism in adiabatic quantum computations (AQC). AQC is computationally equivalent to the (pre-…
quant-ph2018★ 10 cited
A Novel Algebraic Geometry Compiling Framework for Adiabatic Quantum Computations
Raouf Dridi, Hedayat Alghassi, Sridhar Tayur
Adiabatic Quantum Computing (AQC) is an attractive paradigm for solving hard integer polynomial optimization problems. Available hardware restricts the Hamiltonians to be of a stru…