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Quantum Optimization Quantum Simulation

Quantum annealing speedup over simulated annealing on random Ising chains

arXiv
Authors: Tommaso Zanca, Giuseppe E. Santoro

Year

2015

Paper ID

26280

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We show clear evidence of a quadratic speedup of a quantum annealing (QA) Schroedinger dynamics over a Glauber master-equation simulated annealing (SA) for a random Ising model in one dimension, via an equal-footing exact deterministic dynamics of the Jordan-Wigner fermionized problems. This is remarkable, in view of the arguments of Katzgraber et al., PRX 4, 021008 (2014), since SA does not encounter any phase transition, while QA does. We also find a second remarkable result: that a "quantum-inspired" imaginary-time Schroedinger QA provides a further exponential speedup, i.e., an asymptotic residual error decreasing as a power-law τ-μ of the annealing time τ.

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  • We show clear evidence of a quadratic speedup of a quantum annealing (QA) Schroedinger dynamics over a Glauber master-equation simulated annealing (SA) for a random Ising model...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.01906 [2] arXiv https://arxiv.org/abs/1511.01906 [3] Publisher https://arxiv.org/abs/1511.01906

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