Simulating quantum correlations as a distributed sampling problem

Details Simulating quantum correlations as a distributed sampling problem Simulating quantum correlations as a distributed sampling problem

2005-07-13

arxiv.org/abs/quant-ph/0507120v1

Phys. Rev. A 72, 062314 (2005)

Physics

Quantum Physics

13 pages, 2 figures

Scientific paper

10.1103/PhysRevA.72.062314

It is known that quantum correlations exhibited by a maximally entangled qubit pair can be simulated with the help of shared randomness, supplemented with additional resources, such as communication, post-selection or non-local boxes. For instance, in the case of projective measurements, it is possible to solve this problem with protocols using one bit of communication or making one use of a non-local box. We show that this problem reduces to a distributed sampling problem. We give a new method to obtain samples from a biased distribution, starting with shared random variables following a uniform distribution, and use it to build distributed sampling protocols. This approach allows us to derive, in a simpler and unified way, many existing protocols for projective measurements, and extend them to positive operator value measurements. Moreover, this approach naturally leads to a local hidden variable model for Werner states.

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