Published October 2016
| Submitted
Journal Article
Open
A Quantum Version of Schöning's Algorithm Applied to Quantum 2-SAT
- Creators
- Farhi, Edward
- Kimmel, Shelby
- Temme, Kristan
Abstract
We study a quantum algorithm that consists of a simple quantum Markov process, and we analyze its behavior on restricted versions of Quantum 2-SAT. We prove that the algorithm solves these decision problems with high probability for n qubits, L clauses, and promise gap c in time O(n2L2c-2). If the Hamiltonian is additionally polynomially gapped, our algorithm efficiently produces a state that has high overlap with the satisfying subspace. The Markov process we study is a quantum analogue of Schöning's probabilistic algorithm for k-SAT.
Additional Information
© 2016 Rinton Press. We thank Sevag Gharibian for helpful discussions. EF was funded by NSF grant CCF-1218176 and ARO contract W911NF-12-1-0486. SK acknowledges support from the Department of Physics at MIT, iQuISE Igert grant contract number DGE-0801525, and the Department of Defense. KT acknowledges the support from the Erwin Schrödinger fellowship, Austrian Science Fund (FWF): J 3219-N16 and funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NFS Grants PHY-1125565 and PHY-0803371) with support of the Gordon and Betty Moore Foundation (GBMF-12500028).Attached Files
Submitted - 1603.06985v1.pdf
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1603.06985v1.pdf
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Additional details
- Eprint ID
- 68603
- Resolver ID
- CaltechAUTHORS:20160622-144606809
- NSF
- PHY-1125565
- Gordon and Betty Moore Foundation
- GBMF-2644
- NSF
- CCF-1218176
- Massachusetts Institute of Technology (MIT)
- NSF Graduate Research Fellowship
- DGE-0801525
- Erwin Schrödinger Fellowship
- FWF Der Wissenschaftsfonds
- NSF
- PHY-0803371
- Created
-
2016-06-23Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter