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5 papers · 2 filters
A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States
Barbara M. Terhal
We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The…
The problem of equilibration and the computation of correlation functions on a quantum computer
Barbara M. Terhal, David P. DiVincenzo
We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of th…
Unextendible Product Bases and Bound Entanglement
C. H. Bennett, D. P. DiVincenzo, T. Mor +3
An unextendible product basis (UPB) for a multipartite quantum system is an incomplete orthogonal product basis whose complementary subspace contains no product state. We give exam…
Simulating quantum operations with mixed environments
B. M. Terhal, I. L. Chuang, D. P. DiVincenzo +2
We study the physical resources required to implement general quantum operations, and provide new bounds on the minimum possible size which an environment must be in order to perfo…
Quantum Lower Bounds by Polynomials
Robert Beals, Harry Buhrman, Richard Cleve +2
We examine the number T of queries that a quantum network requires to compute several Boolean functions on {0,1}^N in the black-box model. We show that, in the black-box model, the…