## Quantum and Classical Communication-Space Tradeoffs from Rectangle Bounds

by
Hartmut Klauck

Citations: | 6 - 2 self |

### BibTeX

@MISC{Klauck_quantumand,

author = {Hartmut Klauck},

title = {Quantum and Classical Communication-Space Tradeoffs from Rectangle Bounds},

year = {}

}

### OpenURL

### Abstract

We derive bounds on the product of the communication C and space S for communicating circuits. The first bound applies to quantum circuits and follows from a "bipartite product" result for the discrepancy of communication problems. If for any problem f : XY the multicolor discrepancy of the communication matrix of f is 1/2 then the problem in which Alice receives some l inputs, Bob r inputs, and their task is to compute f(x i , y j ) for the l r pairs of inputs (x i , y j ), has a quantum communication-space tradeo# CS (lrd log |Z|).