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Quantum-circuit design for efficient simulations of many-body quantum dynamics
Sadegh Raeisi, Nathan Wiebe, Barry C. Sanders
We construct an efficient autonomous quantum-circuit design algorithm for creating efficient quantum circuits to simulate Hamiltonian many-body quantum dynamics for arbitrary input…
Improved Error-Scaling for Adiabatic Quantum State Transfer
Nathan Wiebe, Nathan S. Babcock
We present a technique that dramatically improves the accuracy of adiabatic state transfer for a broad class of realistic Hamiltonians. For some systems, the total error scaling ca…
Improved Error Bounds for the Adiabatic Approximation
Donny Cheung, Peter Hoyer, Nathan Wiebe
Since the discovery of adiabatic quantum computing, a need has arisen for rigorously proven bounds for the error in the adiabatic approximation. We present in this paper, a rigorou…