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SVP / Heuristic · parallel quantum depth

Quantum Algorithms for the Approximate $k$-List Problem and their Application to Lattice Sieving

Elena Kirshanova · Erik Mårtensson · Eamonn W. Postlethwaite · Subhayan Roy Moulik

Asiacrypt 2019

PublishedSource checked
Time bound
20.1037 n + o(n)
Space bound
20.2075 n + o(n)
Source / version date
10 Sept 2019
Cost scale
2c n + o(n) depth
Computation model
Parallel quantum circuit model
quantum-memory
2^{0.2075n+o(n)} qubits / memory cells

Assumptions and source notes

Parallel quantum circuit time; excluded from sequential-time rankings.

Source location

Abstract, final result
Version: 2019-09-10

Selected earlier references

Selected sources cited by this paper.

  1. Search problems in cryptography: from fingerprinting to lattice sieving

    Thijs Laarhoven · 2016

    Uses the thesis .2653 quantum pair-sieve baseline. Introduction and bibliography [Laa15]

  2. Speed-ups and time-memory trade-offs for tuple lattice sieving

    Gottfried Herold · Elena Kirshanova · Thijs Laarhoven · 2018

    Quantum acceleration of configuration search. Introduction; Sections 3–4; reference [HKL18]

  3. Space-efficient classical and quantum algorithms for the shortest vector problem

    Yanlin Chen · Kai-Min Chung · Ching-Yi Lai · 2018

    Cites the .5-space provable quantum SVP algorithm. Introduction; reference [CCL17]

Primary source ↗

@inproceedings{kirshanova-et-al-2019,
  author = {Elena Kirshanova and Erik Mårtensson and Eamonn W. Postlethwaite and Subhayan Roy Moulik},
  title = {{Quantum Algorithms for the Approximate $k$-List Problem and their Application to Lattice Sieving}},
  booktitle = {ASIACRYPT 2019},
  year = {2019},
  url = {https://eprint.iacr.org/2019/1016},
  keywords = {SVP, quantum, tuple sieving, QRAM},
  cr_date = {2019-09-10},
  cr_status = {published},
  cr_venue = {ASIACRYPT 2019},
  cr_author_ids = {elena-kirshanova; erik-martensson; eamonn-w-postlethwaite; subhayan-roy-moulik}
}