Physics – Quantum Physics
Scientific paper
2001-07-28
Phys. Rev. A 65, 032312 (2002).
Physics
Quantum Physics
18 pages, 3 figures, typo corrections
Scientific paper
10.1103/PhysRevA.65.032312
We present a systematic simple method for constructing deterministic remote operations on single and multiple systems of arbitrary discrete dimensionality. These operations include remote rotations, remote interactions and measurements. The resources needed for an operation on a two-level system are one ebit and a bidirectional communication of two cbits, and for an n-level system, a pair of entangled n-level particles and two classical ``nits''. In the latter case, there are $n-1$ possible distinct operations per one n-level entangled pair. Similar results apply for generating interaction between a pair of remote systems and for remote measurements. We further consider remote operations on $N$ spatially distributed systems, and show that the number of possible distinct operations increases here exponentially, with the available number of entangled pairs that are initial distributed between the systems. Our results follow from the properties of a hybrid state-operator object (``stator''), which describes quantum correlations between states and operations.
Aharonov Yakir
Groisman Berry
Reznik Benni
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