Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating Projections Methods for Discrete-time Stabilization of
  Quantum States   We study sequences (both cyclic and randomized) of idempotent
completely-positive trace-preserving quantum maps, and show how they
asymptotically converge to the intersection of their fixed point sets via
alternating projection methods. We characterize the robustness features of the
protocol against randomization and provide basic bounds on its convergence
speed. The general results are then specialized to stabilizing en- tangled
states in finite-dimensional multipartite quantum systems subject to a resource
constraint, a problem of key interest for quantum information applications. We
conclude by suggesting further developments, including techniques to enlarge
the set of stabilizable states and ensure efficient, finite-time preparation.

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The categories of this paper are: cs
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: physics
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat