TY - GEN

T1 - Simulating quantum correlations with finite communication

AU - Regev, Oded

AU - Toner, Ben

N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2007

Y1 - 2007

N2 - Assume Alice and Bob share some bipartite d-dimensional quantum state. As is well known, by performing two-outcome measurements, Alice and Bob can produce correlations that cannot be obtained classically. We show that by using only two bits of communication, Alice and Bob can classically simulate any such correlations. All previous protocols for exact simulation required the communication to grow to infinity with the dimension d. Our protocol and analysis are based on a power series method, resembling Krivine's bound on Grothendieck's constant, and on the computation of volumes of spherical tetrahedra.

AB - Assume Alice and Bob share some bipartite d-dimensional quantum state. As is well known, by performing two-outcome measurements, Alice and Bob can produce correlations that cannot be obtained classically. We show that by using only two bits of communication, Alice and Bob can classically simulate any such correlations. All previous protocols for exact simulation required the communication to grow to infinity with the dimension d. Our protocol and analysis are based on a power series method, resembling Krivine's bound on Grothendieck's constant, and on the computation of volumes of spherical tetrahedra.

UR - http://www.scopus.com/inward/record.url?scp=46749153448&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46749153448&partnerID=8YFLogxK

U2 - 10.1109/FOCS.2007.4389509

DO - 10.1109/FOCS.2007.4389509

M3 - Conference contribution

AN - SCOPUS:46749153448

SN - 0769530109

SN - 9780769530109

T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS

SP - 384

EP - 394

BT - Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2007

T2 - 48th Annual Symposium on Foundations of Computer Science, FOCS 2007

Y2 - 20 October 2007 through 23 October 2007

ER -