Simulating quantum operations with mixed environments

Details Simulating quantum operations with mixed environments Simulating quantum operations with mixed environments

1998-06-29

arxiv.org/abs/quant-ph/9806095v2

Phys.Rev.A60:881,1999

Physics

Quantum Physics

4 pages Revtex + 1 fig, pictures at http://stout.physics.ucla.edu/~smolin/tetrahedron .Several small corrections

Scientific paper

10.1103/PhysRevA.60.881

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 perform certain quantum operations. We prove that contrary to a previous conjecture, not all quantum operations on a single-qubit can be implemented with a single-qubit environment, even if that environment is initially prepared in a mixed state. We show that a mixed single-qutrit environment is sufficient to implement a special class of operations, the generalized depolarizing channels.

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