Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Stochastic Analysis of a Quantum Entanglement Switch   We study a quantum entanglement switch that serves $k$ users in a star
topology. We model variants of the system using Markov chains and standard
queueing theory and obtain expressions for switch capacity and the expected
number of qubits stored in memory at the switch. While it is more accurate to
use a discrete-time Markov chain (DTMC) to model such systems, we quickly
encounter practical constraints of using this technique and switch to using
continuous-time Markov chains (CTMCs). Using CTMCs allows us to obtain a number
of analytic results for systems in which the links are homogeneous or
heterogeneous and for switches that have infinite or finite buffer sizes. In
addition, we can model the effects of decoherence of quantum states fairly
easily using CTMCs. We also compare the results we obtain from the DTMC against
the CTMC in the case of homogeneous links and infinite buffer, and learn that
the CTMC is a reasonable approximation of the DTMC. From numerical
observations, we discover that decoherence has little effect on capacity and
expected number of stored qubits for homogeneous systems. For heterogeneous
systems, especially those operating close to stability constraints, buffer size
and decoherence can have significant effects on performance metrics. We also
learn that in general, increasing the buffer size from one to two qubits per
link is advantageous to most systems, while increasing the buffer size further
yields diminishing returns.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: stat