<p>The quantum switch is a basic network primitive that allows one to connect multiple nodes in a quantum network via a central node. We show that the same functionality can be achieved with a different geometry that does not rely on a powerful and large central unit, but instead utilizes evenly distributed resources. This approach is resilient against node failures. We provide a nested construction with logarithmically many qubits per node and a total of <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(O(n\log n)\)</EquationSource><EquationSource Format="MATHML"><math><mrow><mi>O</mi><mrow><mo>(</mo><mrow><mi>n</mi><mi>log</mi><mi>n</mi></mrow><mo>)</mo></mrow></mrow></math></EquationSource></InlineEquation> Bell pairs, in contrast to other distributed approaches based on pre-shared entanglement that scale as <i>O</i>(<i>n</i><sup>2</sup>). The construction achieves fully flexible pairwise connectivity, where the shared resource state can be locally transformed into <i>n</i>/2 arbitrarily distributed Bell states. We also present a graph state variant with just one qubit per node, which allows one to generate <InlineEquation ID="IEq2"><EquationSource Format="TEX">\(O(n/{\log }^{2}n)\)</EquationSource><EquationSource Format="MATHML"><math><mrow><mi>O</mi><mrow><mo>(</mo><mrow><mi>n</mi><mo>/</mo><msup><mrow><mi>log</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>n</mi></mrow><mo>)</mo></mrow></mrow></math></EquationSource></InlineEquation> Bell pairs.</p>

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Universal nested quantum switch

  • Jorge Miguel-Ramiro,
  • Maria Flors Mor-Ruiz,
  • Wolfgang Dür

摘要

The quantum switch is a basic network primitive that allows one to connect multiple nodes in a quantum network via a central node. We show that the same functionality can be achieved with a different geometry that does not rely on a powerful and large central unit, but instead utilizes evenly distributed resources. This approach is resilient against node failures. We provide a nested construction with logarithmically many qubits per node and a total of \(O(n\log n)\)O(nlogn) Bell pairs, in contrast to other distributed approaches based on pre-shared entanglement that scale as O(n2). The construction achieves fully flexible pairwise connectivity, where the shared resource state can be locally transformed into n/2 arbitrarily distributed Bell states. We also present a graph state variant with just one qubit per node, which allows one to generate \(O(n/{\log }^{2}n)\)O(n/log2n) Bell pairs.