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COCO
2004
Springer
118views Algorithms» more  COCO 2004»
15 years 6 months ago
Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information
Entanglement is an essential resource for quantum communication and quantum computation, similar to shared random bits in the classical world. Entanglement distillation extracts n...
Andris Ambainis, Ke Yang
99
Voted
ICALP
2003
Springer
15 years 5 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 19 days ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
80
Voted
CORR
2010
Springer
83views Education» more  CORR 2010»
15 years 22 days ago
Investigating the Performance of an Adiabatic Quantum Optimization Processor
We calculate median adiabatic times (in seconds) of a specific superconducting adiabatic quantum processor for an NP-hard Ising spin glass instance class with up to N = 128 binary ...
Geordie Rose, Kamran Karimi, Neil G. Dickson, Fira...
CORR
2010
Springer
109views Education» more  CORR 2010»
15 years 22 days ago
Optimal Direct Sum Results for Deterministic and Randomized Decision Tree Complexity
A Direct Sum Theorem holds in a model of computation, when for every problem solving some k input instances together is k times as expensive as solving one. We show that Direct Su...
Rahul Jain, Hartmut Klauck, Miklos Santha