Accession Number:

ADA585814

Title:

Quantum Interactive Proofs with Short Messages

Descriptive Note:

Technical rept.

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF MATHEMATICS

Report Date:

2011-06-22

Pagination or Media Count:

17.0

Abstract:

This paper considers three variants of quantum interactive proof systems in which short meaning logarithmic-length messages are exchanged between the prover and verifier. The first variant is one in which the verifier sends a short message to the prover, and the prover responds with an ordinary, or polynomial-length, message the second variant is one in which any number of messages can be exchanged, but where the combined length of all the messages is logarithmic and the third variant is one in which the verifier sends polynomially many random bits to the prover, who responds with a short quantum message. We prove that in all of these cases the short messages can be eliminated without changing the power of the model, so the first variant has the expressive power of QMA and the second and third variants have the expressive power of BQP. These facts are proved through the use of quantum state tomography, along with the finite quantum de Finetti theorem for the first variant. Note this appeared in the Journal theory of computing, which is not in your database so we cannot submit the publication information

Subject Categories:

  • Quantum Theory and Relativity
  • Human Factors Engineering and Man Machine Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE