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STACS
2009
Springer
14 years 5 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
STACS
2009
Springer
14 years 3 months ago
Asymptotically Optimal Lower Bounds on the NIH-Multi-Party Information Complexity of the AND-Function and Disjointness
Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Andre Gronemeier
STACS
2009
Springer
14 years 5 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
STACS
2009
Springer
14 years 5 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
STACS
2009
Springer
14 years 5 months ago
Locally Decodable Quantum Codes
We study a quantum analogue of locally decodable error-correcting codes. A q-query locally decodable quantum code encodes n classical bits in an m-qubit state, in such a way that ...
Jop Briet, Ronald de Wolf