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Electronic Colloquium on Computational Complexity

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Reports tagged with Boolean matrix product:
TR18-108 | 1st June 2018
Andrzej Lingas

Small Normalized Boolean Circuits for Semi-disjoint Bilinear Forms Require Logarithmic Conjunction-depth

We consider normalized Boolean circuits that use binary operations of disjunction and conjunction, and unary negation, with the restriction that negation can be only applied to input variables. We derive a lower bound trade-off between the size of normalized Boolean circuits computing Boolean semi-disjoint bilinear forms and their conjunction-depth (i.e., ... more >>>

TR24-011 | 24th January 2024
Paul Beame, Niels Kornerup

Quantum Time-Space Tradeoffs for Matrix Problems

Revisions: 1

We consider the time and space required for quantum computers to solve a wide variety of problems involving matrices, many of which have only been analyzed classically in prior work. Our main results show that for a range of linear algebra problems---including matrix-vector product, matrix inversion, matrix multiplication and powering---existing ... more >>>

ISSN 1433-8092 | Imprint