Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement purification for Quantum Computation   We show that thresholds for fault-tolerant quantum computation are solely
determined by the quality of single-system operations if one allows for
d-dimensional systems with $8 \leq d \leq 32$. Each system serves to store one
logical qubit and additional auxiliary dimensions are used to create and purify
entanglement between systems. Physical, possibly probabilistic two-system
operations with error rates up to 2/3 are still tolerable to realize
deterministic high quality two-qubit gates on the logical qubits. The
achievable error rate is of the same order of magnitude as of the single-system
operations. We investigate possible implementations of our scheme for several
physical set-ups.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat