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20002004
most citedQuantum and Classical Strong Direct Product Theorems and Optimal Time-Space Tradeoffs

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quant-ph20041 cited

Quantum and Classical Strong Direct Product Theorems and Optimal Time-Space Tradeoffs

Hartmut Klauck, Robert Spalek, Ronald de Wolf

A strong direct product theorem says that if we want to compute k independent instances of a function, using less than k times the resources needed for one instance, then our overa…

quant-ph2002

Quantum Time-Space Tradeoffs for Sorting

Hartmut Klauck

We investigate the complexity of sorting in the model of sequential quantum circuits. While it is known that in general a quantum algorithm based on comparisons alone cannot outper…

quant-ph2001

On quantum and approximate privacy

Hartmut Klauck

This paper studies privacy and secure function evaluation in communication complexity. The focus is on quantum versions of the model and on protocols with only approximate privacy…

quant-ph2001

Lower bounds for quantum communication complexity

Hartmut Klauck

We prove new lower bounds for bounded error quantum communication complexity. Our methods are based on the Fourier transform of the considered functions. First we generalize a meth…

quant-ph2000

Quantum Communication Complexity

Hartmut Klauck

This paper surveys the field of quantum communication complexity. Some interesting recent results are collected concerning relations to classical communication, lower bound methods…

quant-ph2000

On rounds in quantum communication

Hartmut Klauck

We investigate the power of interaction in two player quantum communication protocols. Our main result is a rounds-communication hierarchy for the pointer jumping function . W…