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Polynomial-Time Simulation of Pairing Models on a Quantum Computer

L. -A. Wu·M. S. Byrd·D. A. Lidar
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Abstract

We propose a polynomial-time algorithm for simulation of the class of pairing Hamiltonians, e.g., the BCS Hamiltonian, on an NMR quantum computer. The algorithm adiabatically finds the low-lying spectrum in the vicinity of the gap between ground and first excited states, and provides a test of the applicability of the BCS Hamiltonian to mesoscopic superconducting systems, such as ultra-small metallic grains.

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L. -A. Wu, M. S. Byrd, D. A. Lidar. 2002-06-19. Polynomial-Time Simulation of Pairing Models on a Quantum Computer. https://doi.org/10.1103/physrevlett.89.057904

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